# Behavioral Decision-Making Concept Card: [Your name, course or decision, and date]

> A concept card for judgment and decision-making as it is taught in the leadership, negotiation and decision
> courses of a leading MBA: the heuristics people use to judge probabilities and values, the systematic biases those
> heuristics create, prospect theory and loss aversion, noise in professional judgment, the techniques that reduce
> bias and noise in organisations (decision hygiene), and choice architecture, the design of the setting in which
> other people choose. It is for MBA students in organisational behaviour, leadership, negotiation or decision
> analysis courses and for managers who make or review high-stakes decisions. Worked example A takes a fictional
> product launch through base rates, a reference class forecast, a regression correction, a loss-aversion test, a
> noise audit and a sunk-cost decision; Worked example B is half solved; Exercise C asks you to design a
> premortem and a choice architecture. Source basis: Tversky and Kahneman (1974, 1981, 1992), Kahneman and Tversky
> (1979), Thaler (1980), Samuelson and Zeckhauser (1988), Kahneman and Lovallo (1993), Johnson and Goldstein (2003),
> Benartzi and Thaler (2004), Milkman, Chugh and Bazerman (2009) and the other primary works listed under Sources,
> written up in original words with fictional numbers. Replace every [bracketed] value and every row marked
> *Example*. This is a learning aid, not psychological, medical, legal or financial advice.

<!--
Guidance: How to use this template
- Read "The idea in plain language" first. You should be able to explain, in one minute, the difference between a
  bias (errors that lean one way) and noise (errors that scatter), and why both matter.
- Work the formulas with a calculator before you open Worked example A: Bayes' rule, the prospect theory value of a
  gamble and the error equation are the three that exam questions use most.
- Rebuild Worked example A in a spreadsheet with the Excel formulas shown, then fill every [ ] in Worked example B and
  do Exercise C before you open the answer key.
- Use the bias catalogue as a checklist on a real decision you are making this term, and log what you find in
  "My notes and next steps".
- Many classroom demonstrations of these effects are well known, and some later replications found smaller effects
  than the original studies. Treat the catalogue as a map of tendencies, not as laws, and read the original studies
  for the designs and samples.
- Every company, person and number in the examples is fictional and was computed in Python.
- Related templates: mba/mba-decision-trees-card, mba/mba-decision-analytics-guide, mba/mba-ai-decision-making-card,
  mba/mba-leadership-guide, mba/mba-team-dynamics-card, mba/mba-negotiation-guide, mba/mba-negotiation-planner,
  mba/mba-ethics-guide, mba/mba-pricing-card, mba/mba-marketing-experiments-card, mba/mba-regression-for-managers-card,
  mba/mba-npv-irr-card, mba/mba-power-influence-card, mba/mba-people-management-guide, mba/mba-glossary,
  mba/mba-formula-sheet, mba/mba-error-log, business/decision-log, project/lessons-learned.
-->

## Document control

<!-- Guidance: Record which decision or course you are applying the card to and who reviewed your analysis. A decision reviewed only by its owner has had no debiasing at all. -->

| Field | Value |
|---|---|
| Learner or decision owner | [Your name] |
| Course or decision | [Leadership course, negotiation course, a launch, a hire, an investment] |
| Decision date or deadline | YYYY-MM-DD |
| Independent reviewer | [Learning team member, teaching assistant, colleague not involved in the proposal] |
| Version | [0.1] |
| Last updated | YYYY-MM-DD |

## Contents

- [When to use it](#when-to-use-it)
- [The idea in plain language](#the-idea-in-plain-language)
- [Formulas and notation](#formulas-and-notation)
- [Bias catalogue](#bias-catalogue)
- [Assumptions and limits](#assumptions-and-limits)
- [Debiasing and decision hygiene](#debiasing-and-decision-hygiene)
- [Choice architecture](#choice-architecture)
- [Worked example A (fully solved): Corvane Robotics launches Model W](#worked-example-a-fully-solved-corvane-robotics-launches-model-w)
- [Worked example B (half solved): a second forecaster](#worked-example-b-half-solved-a-second-forecaster)
- [Exercise C (unsolved): premortem and a default](#exercise-c-unsolved-premortem-and-a-default)
- [Connections to other cards](#connections-to-other-cards)
- [Common mistakes and misconceptions](#common-mistakes-and-misconceptions)
- [Self-test questions](#self-test-questions)
- [My notes and next steps](#my-notes-and-next-steps)
- [Sources and further reading](#sources-and-further-reading)
- [Answer key](#answer-key)

## When to use it

<!-- Guidance: The card pays off on decisions that are large, rare and judged by people: launches, acquisitions, hires, budgets, credit and pricing calls. Routine decisions with fast feedback need it less. -->

Use this card when:

- a decision is large, hard to reverse and made rarely, so the people making it get little feedback on their
  judgment;
- a forecast (sales, cost, schedule, probability of success) comes from the team that wants the project approved;
- several professionals judge similar cases (credit limits, hiring, performance ratings, underwriting) and their
  judgments should be consistent;
- you are designing a form, a default, a price display, an enrolment process or a policy that other people will
  respond to;
- you prepare a case discussion in leadership, negotiation, marketing or finance where the protagonist's judgment
  is in question.

Do not use it to label colleagues ("that is just anchoring") in place of evidence, and do not assume that knowing
about a bias protects you from it: the research suggests it rarely does without a process change.

## The idea in plain language

<!-- Guidance: Learn the three building blocks: heuristics, prospect theory and noise. Everything else is an application. -->

**Heuristics and biases.** Tversky and Kahneman (1974) showed that people judge uncertain quantities with a few
mental shortcuts. **Representativeness**: judging probability by how similar a case is to a stereotype, which leads
people to neglect base rates and sample size. **Availability**: judging frequency by how easily examples come to
mind, which overweights vivid and recent events. **Anchoring and adjustment**: starting from an initial value, even an
irrelevant one, and adjusting too little. These shortcuts are usually useful, but they produce errors that lean in
predictable directions: biases.

**Prospect theory.** Kahneman and Tversky (1979) and the cumulative version of Tversky and Kahneman (1992) describe how
people choose between risky options. Outcomes are judged as gains and losses from a reference point, not as final
wealth. Losses loom larger than gains of the same size (loss aversion). Sensitivity diminishes with distance from the
reference point, so people tend to be risk averse for gains and risk seeking for losses. Probabilities are weighted:
small probabilities are overweighted and moderate to large ones underweighted. The same choice described as a gain or
as a loss can therefore produce different decisions (framing; Tversky and Kahneman 1981).

**Mental accounting, sunk costs and the status quo.** Thaler (1980) showed that people treat money differently
depending on the mental account it sits in and that they let past, unrecoverable costs affect current choices.
Arkes and Blumer (1985) documented the sunk-cost effect in experiments; Staw (1976) showed that decision makers who
were responsible for an earlier failing choice invested more in it (escalation of commitment). Samuelson and
Zeckhauser (1988) documented status quo bias: people stick with the current or default option more than its merits
justify.

**Overconfidence and the planning fallacy.** People are too sure of their estimates and plans. Kahneman and Lovallo
(1993) argued that managers combine "bold forecasts", optimistic estimates from an inside view of the project, with
"timid choices", excessive caution when each risky decision is considered alone. The cure they proposed is the
outside view: forecast from the record of a reference class of similar projects. Flyvbjerg (2006) turned this into
reference class forecasting for large projects.

**Noise.** Bias is the average error; noise is the unwanted variability of judgments that should be identical. Two
underwriters pricing the same risk or two managers rating the same employee often disagree far more than their
organisations expect. Measured as mean squared error, overall error is bias squared plus noise squared, so the two enter in
the same way and reducing either one lowers the error. Kahneman,
Sibony and Sunstein develop this argument in their book *Noise*.

**From individuals to organisations.** Organisations can reduce bias and noise with process: independent estimates
before discussion, the outside view, checklists, premortems, structured criteria and decision records (Milkman, Chugh
and Bazerman 2009; Kahneman, Lovallo and Sibony 2011). And because people respond predictably to defaults, framing
and effort, the design of choices, choice architecture, changes behaviour without forbidding options (Thaler and
Sunstein, *Nudge*).

## Formulas and notation

<!-- Guidance: Five formulas cover most exam questions: Bayes' rule, the prospect theory value, the regression correction, the error equation and the Brier score. -->

**Bayes' rule** for the probability of a hypothesis $H$ (the product succeeds) after a signal $S$ (a positive pilot):

$$
P(H \mid S) = \frac{P(S \mid H)\, P(H)}{P(S \mid H)\, P(H) + P(S \mid \neg H)\, (1 - P(H))}
$$

**Prospect theory value** of a gain $x \ge 0$ or a loss $x < 0$, with the parameters estimated by Tversky and
Kahneman (1992): $\alpha = \beta = 0.88$, $\lambda = 2.25$:

$$
v(x) = \begin{cases} x^{\alpha} & x \ge 0 \\ -\lambda (-x)^{\beta} & x < 0 \end{cases}
$$

**Probability weighting** with $\gamma = 0.61$ for gains and $\delta = 0.69$ for losses (same source), and the value of
a two-outcome mixed gamble:

$$
w(p) = \frac{p^{\gamma}}{\left(p^{\gamma} + (1-p)^{\gamma}\right)^{1/\gamma}} \qquad
V = w^{+}(p)\, v(x_{gain}) + w^{-}(1-p)\, v(x_{loss})
$$

**Regression correction** of an intuitive forecast toward the base rate, where $\rho$ is the correlation between the
evidence used and the outcome:

$$
\hat{y} = \bar{y}_{base} + \rho \left(y_{intuitive} - \bar{y}_{base}\right)
$$

**Reference class forecast**: multiply the inside-view estimate by a percentile $q$ of the overrun ratios $R$ in the
reference class:

$$
B_q = B_{inside} \cdot \text{Percentile}_q(R)
$$

**Error equation** for $J$ judgments $y_j$ of a case whose true value is $T$:

$$
MSE = \frac{1}{J}\sum_j (y_j - T)^2 = \underbrace{(\bar{y} - T)^2}_{\text{bias}^2} + \underbrace{\frac{1}{J}\sum_j (y_j - \bar{y})^2}_{\text{noise}^2}
$$

**Brier score** for $n$ probability forecasts $p_i$ of events with outcomes $o_i \in \{0, 1\}$ (lower is better):

$$
BS = \frac{1}{n}\sum_{i=1}^{n} (p_i - o_i)^2
$$

| Symbol | Meaning | Note |
|---|---|---|
| $P(H)$, $P(H \mid S)$ | Prior and posterior probability | The prior is the base rate |
| $P(S \mid H)$, $P(S \mid \neg H)$ | Hit rate and false positive rate of the signal | Both are needed; people often use only the first |
| $v(x)$, $\alpha$, $\beta$, $\lambda$ | Value function, curvature for gains and losses, loss aversion | Median estimates from one study, not universal constants |
| $w(p)$, $\gamma$, $\delta$ | Decision weight of probability $p$ for gains and losses | Overweights small, underweights moderate and large probabilities |
| $\bar{y}_{base}$, $\rho$ | Reference class mean, predictive correlation | $\rho = 0$ means ignore the intuition, $\rho = 1$ means trust it |
| $B_{inside}$, $R$, $q$ | Inside-view budget, overrun ratios of past projects, chosen percentile | P80 is a common choice for a budget with contingency |
| $T$, $\bar{y}$ | True value, mean of the judgments | Bias is $\bar{y} - T$; noise is the standard deviation of judgments |
| $BS$ | Brier score | 0 is perfect; always saying 0.5 scores 0.25 |

Excel: posterior `=Prior*Hit/(Prior*Hit+(1-Prior)*FalsePos)`; value of a gain `=x^0.88`, of a loss
`=-2.25*(-x)^0.88`; reference class P80 `=PERCENTILE.INC(Ratios,0.8)*Budget`; noise `=STDEV.P(Judgments)`;
Brier score `=SUMXMY2(Forecasts,Outcomes)/COUNT(Forecasts)`.

## Bias catalogue

<!-- Guidance: Use the IDs when you review a proposal: write "BI-04 risk" next to the forecast and the debiasing move from the last column. -->

| ID | Bias or effect | What it looks like in a company | Primary source | Debiasing move |
|---|---|---|---|---|
| BI-01 | Base-rate neglect (representativeness) | "This launch looks like our big success, so it will work" | Tversky and Kahneman (1974) | Start from the base rate, then update with Bayes |
| BI-02 | Availability | Overweighting last quarter's cyber incident or a vivid customer story | Tversky and Kahneman (1974) | Count frequencies from data, not memory |
| BI-03 | Anchoring | First number in a negotiation or budget sets the range | Tversky and Kahneman (1974) | Generate independent estimates before seeing any number |
| BI-04 | Overconfidence and planning fallacy | Schedules and budgets that ignore how similar projects went | Kahneman and Lovallo (1993) | Outside view, reference class forecast |
| BI-05 | Loss aversion and narrow framing | Rejecting positive-value bets one at a time | Kahneman and Tversky (1979), Kahneman and Lovallo (1993) | Evaluate risky choices as a portfolio |
| BI-06 | Framing | Same option accepted as "saves 200 jobs", rejected as "loses 400 jobs" | Tversky and Kahneman (1981) | Restate each option in both frames |
| BI-07 | Sunk cost and escalation of commitment | Continuing a failing project because of money already spent | Arkes and Blumer (1985), Staw (1976) | Decide on future cash flows only; change the decision maker |
| BI-08 | Status quo and default effects | Keeping the current supplier or plan by inertia | Samuelson and Zeckhauser (1988) | Ask "would we choose this today from scratch?" |
| BI-09 | Confirmation and biased assimilation | Reading mixed evidence as support for one's view | Lord, Ross and Lepper (1979) | Assign someone to argue the opposite |
| BI-10 | Hindsight bias | "We knew it would fail" after the outcome | Fischhoff (1975) | Record forecasts and reasons before the outcome |
| BI-11 | Mental accounting | Treating a windfall budget as free to spend | Thaler (1980) | Judge all money by its opportunity cost |
| BI-12 | Noise | Two managers set very different credit limits for the same customer | Kahneman, Sibony and Sunstein, *Noise* | Noise audit, structured criteria, averaging independent judgments |

## Assumptions and limits

<!-- Guidance: Know the limits before you apply a finding to a real decision. Overselling behavioural results is itself a bias. -->

- **Parameters are estimates.** The prospect theory parameters are median estimates from one set of experiments with
  students and modest stakes; individuals, cultures and stakes differ.
- **Effects vary in size and some replicate weakly.** Several famous effects are robust (loss aversion in many
  settings, defaults, anchoring); others, especially some priming and ego-depletion results, have replicated poorly.
  Check the current evidence before relying on a specific effect.
- **Heuristics are often adaptive.** In familiar settings with fast, clear feedback, intuition can be accurate. The
  card targets settings where feedback is slow or absent.
- **Bayes needs credible inputs.** The posterior is only as good as the base rate and the hit and false positive
  rates; estimate them from data where you can.
- **The regression correction needs a correlation.** If you have no evidence about how predictive your intuition is,
  be conservative and stay close to the base rate.
- **Choice architecture has ethical limits.** A nudge should be transparent, easy to avoid and in the interest of the
  person nudged; designs that exploit biases against people's interests (sometimes called dark patterns) may also
  breach consumer protection law. Check the current rules in your jurisdiction with a qualified lawyer.

## Debiasing and decision hygiene

<!-- Guidance: Pick the two or three moves that fit the decision. A process used every time beats a long checklist used once. -->

| ID | Technique | How it works | Best for | Source |
|---|---|---|---|---|
| DB-01 | Outside view and reference class forecast | Forecast from the record of similar past projects, then adjust | Budgets, schedules, success rates | Kahneman and Lovallo (1993), Flyvbjerg (2006) |
| DB-02 | Premortem | Before the decision, the team imagines the project has failed and writes the reasons | Launches, acquisitions, plans | Klein (2007) |
| DB-03 | Independent estimates first | Each person writes an estimate before any discussion; then aggregate | Forecasts, valuations, ratings | Kahneman, Sibony and Sunstein, *Noise* |
| DB-04 | Consider the opposite | Ask "what would have to be true for the other option to be better?" | Confirmation, anchoring | Milkman, Chugh and Bazerman (2009) |
| DB-05 | Decision quality checklist | Reviewers check the proposal for self-interest, groupthink, anchors, missing alternatives and the outside view | Board and committee decisions | Kahneman, Lovallo and Sibony (2011) |
| DB-06 | Portfolio framing | Judge a set of similar risky choices together | Loss aversion, narrow framing | Kahneman and Lovallo (1993) |
| DB-07 | Decision record | Write the forecast, the reasons and the confidence before the outcome; review later | Hindsight, calibration | Fischhoff (1975); business/decision-log |
| DB-08 | Structured criteria and noise audit | Break a judgment into scored criteria; measure disagreement on the same cases | Hiring, credit, underwriting | Kahneman, Sibony and Sunstein, *Noise* |
| DB-09 | Separate the decision maker from the sunk cost | A new reviewer decides whether to continue | Escalation | Staw (1976), on why the original decision maker escalates |

The order of a decision hygiene process for a large decision:

```mermaid
flowchart TD
    A["Frame the decision: options, criteria, owner"] --> B["Base rate and reference class: outside view"]
    B --> C["Independent estimates by each member"]
    C --> D["Aggregate and discuss differences"]
    D --> E["Premortem: imagine failure, list causes"]
    E --> F["Consider the opposite and missing options"]
    F --> G["Decision quality checklist by a reviewer not on the team"]
    G --> H{"Decide"}
    H --> I["Decision record: forecast, reasons, confidence"]
    I --> J["Review outcome and calibration later"]
    J --> B
```

## Choice architecture

<!-- Guidance: Use this when you design something other people choose from: a benefits form, a price page, a process. Name the default first; it is the most powerful tool. -->

Thaler and Sunstein define choice architecture as the context in which people make decisions, and a nudge as a change
in that context that alters behaviour predictably without forbidding options or changing economic incentives much.
Evidence that it matters: Madrian and Shea (2001) found that automatic enrolment raised participation in a US
employer's retirement savings plan sharply, and that many automatically enrolled employees kept the default
contribution rate and fund. Johnson and Goldstein (2003) found much higher rates of consent to organ donation in
countries with an opt-out default than with an opt-in default. Benartzi and Thaler (2004) showed that employees who
committed in advance to raise their saving rate with future pay rises (Save More Tomorrow) saved much more over time.

| ID | Tool | Example in a company | Ethical check |
|---|---|---|---|
| CA-01 | Default | Enrol new employees in safety training or a pension plan automatically, with an easy opt-out | Is the default in the person's interest, and is opting out easy? |
| CA-02 | Simplification | Cut a supplier onboarding form from 40 fields to 12 | Does simplifying hide information people need? |
| CA-03 | Framing and salience | Show annual energy cost next to the price of equipment | Is the frame accurate and complete? |
| CA-04 | Commitment devices | Pre-commit to a stop rule for a project at the start | Can the person change it with good reason? |
| CA-05 | Feedback and social norms | Show each store its energy use against similar stores | Is the comparison fair and private enough? |
| CA-06 | Timing and reminders | Prompt managers to review a decision record at the planned date | Is the reminder useful or noise? |

## Worked example A (fully solved): Corvane Robotics launches Model W

<!-- Guidance: Rebuild each step in a spreadsheet. Every number below is fictional. -->

**Situation (fictional).** Corvane Robotics, a growth technology company, is deciding whether to launch Model W, a
warehouse robot. The product team, led by Ana Reyes, presents a plan: a 75% chance of commercial success, a
development budget of USD 4.0 million, first-year sales growth of 40% for the robot line, and a request to approve
today. A pilot with one customer was positive. Chief executive Priya Raman asks you to review the proposal as the
independent reviewer.

### Step 1: base rate and Bayes (BI-01)

Corvane's record of comparable launches, and industry data, give a base rate of 20% for commercial success. Past
pilots were positive in 80% of products that later succeeded and in 30% of those that failed.

| Item | Computation | Result | Excel |
|---|---|---|---|
| Prior | base rate | 20% | |
| Posterior after one positive pilot | 0.2 x 0.8 / (0.2 x 0.8 + 0.8 x 0.3) | 40% | `=0.2*0.8/(0.2*0.8+0.8*0.3)` |
| Posterior after two independent positive pilots | 0.2 x 0.64 / (0.2 x 0.64 + 0.8 x 0.09) | 64% | `=0.2*0.8^2/(0.2*0.8^2+0.8*0.3^2)` |
| Team's estimate | intuition | 75% | |

The team's 75% treats the pilot as if it were decisive. With a 30% false positive rate, one pilot doubles the base
rate to 40%; a second independent pilot would raise it to 64%, still below the team's number.

### Step 2: reference class forecast for the budget (BI-04, DB-01)

Twelve comparable development projects at Corvane and its peers had cost overrun ratios (actual over budget) of 1.05,
1.10, 1.12, 1.18, 1.20, 1.25, 1.30, 1.35, 1.42, 1.55, 1.70 and 2.05 (*Example*).

| Item | Computation | Result | Excel |
|---|---|---|---|
| Median overrun ratio | P50 | 1.275 | `=PERCENTILE.INC(B2:B13,0.5)` |
| P80 overrun ratio | P80 | 1.524 | `=PERCENTILE.INC(B2:B13,0.8)` |
| Budget at P50 | 4.0 x 1.275 | 5.10 | `=4*PERCENTILE.INC(B2:B13,0.5)` |
| Budget at P80 | 4.0 x 1.524 | 6.10 | `=4*PERCENTILE.INC(B2:B13,0.8)` |

A budget of 4.0 has almost no chance of being met on this record: every project in the reference class overran.
Approve 5.10 as the expected cost and hold contingency up to 6.10.

### Step 3: regression correction of the sales forecast

The team expects 40% first-year growth. Similar product lines grew 15% on average, and Corvane's past launch
forecasts correlated about 0.3 with outcomes (*Example*).

$$
\hat{y} = 15\% + 0.3 \times (40\% - 15\%) = 22.5\%
$$

Use 22.5% as the planning case and keep 40% as an upside scenario.

### Step 4: loss aversion and narrow framing (BI-05, DB-06)

A plant manager is offered a process change with a 50% chance of saving USD 150,000 and a 50% chance of losing USD
100,000 (expected value +25,000). He refuses. In thousands:

| Item | Computation | Result |
|---|---|---|
| Value of the gain | 150^0.88 | 82.22 |
| Value of the loss | -2.25 x 100^0.88 | -129.47 |
| Prospect value, decision weights equal to 0.5 | 0.5 x 82.22 + 0.5 x (-129.47) | -23.63 |
| Decision weights w+(0.5) = 0.421 and w-(0.5) = 0.454 | 0.421 x 82.22 + 0.454 x (-129.47) | -24.20 |
| Gain needed to accept, equal weights | 100 x 2.25^(1/0.88) | 251.31 |
| Gain needed to accept, with decision weights | solved numerically | 274.07 |

Under prospect theory the refusal is predictable: with loss aversion of 2.25 the gain must be about two and a half
times the loss before the bet looks attractive. For Corvane, which runs dozens of such process changes a year, the
right frame is the portfolio: twenty independent bets like this one have an expected gain of 500,000 and about a 13%
chance of an overall loss (fewer than 8 wins out of 20). Evaluate them together and reward managers on the portfolio, not on each bet.

```vega-lite
{
  "$schema": "https://vega.github.io/schema/vega-lite/v5.json",
  "description": "Prospect theory value function with alpha 0.88 and lambda 2.25, outcomes in USD thousand",
  "width": 420,
  "height": 260,
  "data": {
    "values": [
      {"x": -200, "v": -238.3}, {"x": -150, "v": -185.0}, {"x": -100, "v": -129.5}, {"x": -50, "v": -70.4},
      {"x": -25, "v": -38.2}, {"x": 0, "v": 0.0}, {"x": 25, "v": 17.0}, {"x": 50, "v": 31.3},
      {"x": 100, "v": 57.5}, {"x": 150, "v": 82.2}, {"x": 200, "v": 105.9}
    ]
  },
  "mark": {"type": "line", "point": true},
  "encoding": {
    "x": {"field": "x", "type": "quantitative", "title": "Gain or loss (USD thousand)"},
    "y": {"field": "v", "type": "quantitative", "title": "Subjective value v(x)"}
  }
}
```

### Step 5: noise audit of credit limits (BI-12, DB-08)

Corvane sells robots on credit terms. Five credit managers set limits for the same three customer files without
conferring (USD thousand, *Example*).

| Case | Manager 1 | Manager 2 | Manager 3 | Manager 4 | Manager 5 | Mean | Noise (SD) | Noise / mean | Range |
|---|---|---|---|---|---|---|---|---|---|
| Customer 1 | 120 | 95 | 150 | 110 | 135 | 122.0 | 19.13 | 15.7% | 55 |
| Customer 2 | 60 | 85 | 70 | 55 | 90 | 72.0 | 13.64 | 18.9% | 35 |
| Customer 3 | 200 | 170 | 240 | 185 | 215 | 202.0 | 24.21 | 12.0% | 70 |

Average pairwise difference relative to the pair's mean: 22.2%, 26.4% and 16.7%. Management had expected about 10%.
For customer 1, the credit limit that later proved right was 100 (*Example*):

| Component | Computation | Result |
|---|---|---|
| Bias squared | (122 - 100)^2 | 484 |
| Noise squared | 19.13^2 | 366 |
| Mean squared error | average of (y - 100)^2 | 850 |

Bias and noise both contribute; removing the bias alone would leave 43% of the error (`=366/850`). Remedy: a scored
credit template with defined criteria, averaging two independent assessments for large limits, and a noise audit
each year.

### Step 6: sunk cost (BI-07, DB-09)

A year later, Corvane has spent 6.0 on Model W. Finishing needs another 3.0, and the present value of the cash flows
from finishing is now 2.5. The net present value of continuing is -0.5 (`=2.5-3`). The 6.0 already spent is the same
whether Corvane continues or stops, so it does not enter the decision: stop, or find a cheaper path to finish. Because
escalation is strongest in the person responsible for the original choice (Staw 1976), ask someone who did not approve
the original budget to make this call.

## Worked example B (half solved): a second forecaster

<!-- Guidance: Fill each [ ] using the formulas. Then write the two sentences you would say to the forecaster. -->

A second Corvane team proposes Model X. The base rate for this kind of product is 10%; its test has a hit rate of
90% and a false positive rate of 20%.

| Item | Computation | Result |
|---|---|---|
| Posterior after one positive test | `=0.1*0.9/(0.1*0.9+0.9*0.2)` | [ ] |
| Team's stated probability | | 80% |

The team lead's last ten probability forecasts and outcomes (1 = happened) were: 0.9 and 1, 0.8 and 1, 0.8 and 0,
0.7 and 1, 0.9 and 1, 0.6 and 0, 0.9 and 0, 0.8 and 1, 0.7 and 0, 0.9 and 1.

| Item | Computation | Result |
|---|---|---|
| Mean forecast | `=AVERAGE(forecasts)` | [ ] |
| Hit rate | `=AVERAGE(outcomes)` | 0.60 |
| Brier score | `=SUMXMY2(forecasts,outcomes)/10` | [ ] |
| Brier score of always forecasting 0.5 | | 0.25 |

Questions to answer: is the team lead calibrated or overconfident? What does the comparison with always forecasting
0.5 tell you? [ ]

## Exercise C (unsolved): premortem and a default

<!-- Guidance: Do C1 with your learning team as a timed exercise; C2 and C3 alone. -->

C1. Run a 20-minute premortem on Corvane's Model W launch: assume it is two years later and the launch has failed.
Each member writes reasons alone for five minutes; then list and group them, and pick the three most likely. Write
one mitigation and one early warning indicator for each.

C2. Corvane's safety training for warehouse technicians has 55% completion. Design a choice architecture with at
least three tools from CA-01 to CA-06, state the default, and pass each tool through its ethical check.

C3. Restate the following two options in both a gain frame and a loss frame, then say which you would recommend and
why: a restructuring that keeps 200 of 600 jobs for certain, or one with a one-third chance of keeping all 600 jobs
and a two-thirds chance of keeping none.

## Connections to other cards

<!-- Guidance: Behavioral decision-making is a lens on every course. Use these links to apply it. -->

| Card or template | Connection |
|---|---|
| mba/mba-decision-trees-card, mba/mba-decision-analytics-guide | The normative tools whose inputs biases distort |
| mba/mba-ai-decision-making-card | When algorithms reduce noise, and when they import bias |
| mba/mba-negotiation-guide, mba/mba-negotiation-planner | Anchoring, framing and loss aversion at the table |
| mba/mba-leadership-guide, mba/mba-team-dynamics-card | Groupthink, dissent and decision processes in teams |
| mba/mba-power-influence-card | How framing and defaults are used to influence |
| mba/mba-people-management-guide | Noise in hiring and performance ratings |
| mba/mba-pricing-card, mba/mba-marketing-experiments-card | Reference prices, framing and testing them |
| mba/mba-regression-for-managers-card | Regression to the mean and correlation behind the correction formula |
| mba/mba-npv-irr-card | Sunk costs and incremental cash flows |
| mba/mba-ethics-guide | Where a nudge becomes manipulation |
| business/decision-log, project/lessons-learned | Decision records and later review |

## Common mistakes and misconceptions

<!-- Guidance: Check your own analysis against this list. Each item is a frequent exam and workplace error. -->

1. **Using only the hit rate.** A test that catches 80% of successes is weak if it also passes 30% of failures.
2. **Believing that knowing a bias removes it.** Process changes work better than awareness.
3. **Treating every error as a bias.** Scatter around the right answer is noise, and it needs different remedies.
4. **Overcorrecting.** Pulling every forecast to the base rate throws away real information; use the correlation.
5. **Quoting prospect theory parameters as constants.** They are median estimates from specific experiments.
6. **Counting sunk costs** in a continue or stop decision, or, the opposite error, ignoring the lessons they teach
   about the forecast.
7. **Evaluating risky choices one by one** when the company makes many of them.
8. **Nudging against people's interests** or hiding the opt-out.
9. **Running a premortem after the decision**, when it can only defend the choice.
10. **Assuming a classic effect replicates at full size.** Check later replications before you build a policy on it.

## Self-test questions

<!-- Guidance: Answer from memory, then check the answer key. Repeat after two days. -->

1. Name the three heuristics of Tversky and Kahneman (1974) and one bias each produces.
2. Compute the posterior probability of success with a 20% base rate, a hit rate of 80% and a false positive rate of
   30%. Give the Excel formula.
3. State the four features of prospect theory.
4. With $\lambda = 2.25$ and $\alpha = \beta = 0.88$, what gain makes a 50/50 bet against a loss of 100 just
   acceptable, ignoring probability weighting?
5. What is the difference between bias and noise, and how does the error equation combine them?
6. Why did every project in Step 2's reference class overrun, and what should Corvane budget?
7. Correct an intuitive forecast of 30% growth when the base rate is 10% and the correlation is 0.5.
8. What is a premortem and when must it be run?
9. Why should sunk costs not enter a continue or stop decision?
10. Give two pieces of evidence that defaults change behaviour.
11. What Brier score does a forecaster get by always saying 0.5 on events that happen half the time?
12. Name two ethical tests a nudge should pass.

## My notes and next steps

<!-- Guidance: Log real decisions you made or reviewed, the biases you spotted and what you changed. -->

| Date | Decision | Bias or noise risk (ID) | Move used (ID) | Result or what I learned |
|---|---|---|---|---|
| *Example:* YYYY-MM-DD | Budget for a team project | BI-04 | DB-01 | Reference class showed a 30% overrun; we added contingency |
| [YYYY-MM-DD] | [ ] | [ ] | [ ] | [ ] |

## Sources and further reading

<!-- Guidance: Primary works first; books by name only. -->

Primary works:

- Tversky, A. and Kahneman, D. (1974). Judgment under uncertainty: heuristics and biases. *Science*, 185(4157),
  1124-1131.
- Kahneman, D. and Tversky, A. (1979). Prospect theory: an analysis of decision under risk. *Econometrica*, 47(2),
  263-291.
- Tversky, A. and Kahneman, D. (1981). The framing of decisions and the psychology of choice. *Science*, 211(4481),
  453-458.
- Tversky, A. and Kahneman, D. (1992). Advances in prospect theory: cumulative representation of uncertainty.
  *Journal of Risk and Uncertainty*, 5(4), 297-323.
- Thaler, R. (1980). Toward a positive theory of consumer choice. *Journal of Economic Behavior and Organization*,
  1(1), 39-60.
- Staw, B. M. (1976). Knee-deep in the big muddy: a study of escalating commitment to a chosen course of action.
  *Organizational Behavior and Human Performance*, 16(1), 27-44.
- Fischhoff, B. (1975). Hindsight is not equal to foresight: the effect of outcome knowledge on judgment under
  uncertainty. *Journal of Experimental Psychology: Human Perception and Performance*, 1(3), 288-299.
- Lord, C. G., Ross, L. and Lepper, M. R. (1979). Biased assimilation and attitude polarization: the effects of prior
  theories on subsequently considered evidence. *Journal of Personality and Social Psychology*, 37(11), 2098-2109.
- Arkes, H. R. and Blumer, C. (1985). The psychology of sunk cost. *Organizational Behavior and Human Decision
  Processes*, 35(1), 124-140.
- Samuelson, W. and Zeckhauser, R. (1988). Status quo bias in decision making. *Journal of Risk and Uncertainty*,
  1(1), 7-59.
- Kahneman, D. and Lovallo, D. (1993). Timid choices and bold forecasts: a cognitive perspective on risk taking.
  *Management Science*, 39(1), 17-31.
- Madrian, B. C. and Shea, D. F. (2001). The power of suggestion: inertia in 401(k) participation and savings
  behavior. *The Quarterly Journal of Economics*, 116(4), 1149-1187.
- Johnson, E. J. and Goldstein, D. (2003). Do defaults save lives? *Science*, 302(5649), 1338-1339.
- Benartzi, S. and Thaler, R. H. (2004). Save More Tomorrow: using behavioral economics to increase employee saving.
  *Journal of Political Economy*, 112(S1), S164-S187.
- Flyvbjerg, B. (2006). From Nobel Prize to project management: getting risks right. *Project Management Journal*,
  37(3), 5-15.
- Milkman, K. L., Chugh, D. and Bazerman, M. H. (2009). How can decision making be improved? *Perspectives on
  Psychological Science*, 4(4), 379-383.
- Klein, G. (2007). Performing a project premortem. *Harvard Business Review*, September 2007.
- Kahneman, D., Lovallo, D. and Sibony, O. (2011). Before you make that big decision. *Harvard Business Review*, June
  2011.

Books (further reading, by name only): Bazerman and Moore, *Judgment in Managerial Decision Making*; Kahneman,
*Thinking, Fast and Slow*; Thaler and Sunstein, *Nudge*; Kahneman, Sibony and Sunstein, *Noise: A Flaw in Human
Judgment*.

Open resource: OpenStax, *Organizational Behavior* (CC BY 4.0), https://openstax.org.

## Answer key

<!-- Guidance: Every number below comes from the calculation script. -->

Worked example B: posterior 33.3% (`=0.09/(0.09+0.18)`), far below the team's 80%. Mean forecast 0.80 against a hit
rate of 0.60: the team lead is overconfident by about 20 points. Brier score 0.25, no better than always saying 0.5,
so the stated probabilities carry no more information than a coin-flip forecast. Say: "Your forecasts have been 20
points too high on average; start from the base rate and show how the test moves it."

Exercise C:

- C1: typical reasons include a slower sales cycle than planned, integration problems with customers' warehouse
  systems, a competitor's price cut, and a key engineer leaving. Each needs an owner, a mitigation and an early
  indicator (for example, pilot-to-order conversion below a set level after six months).
- C2: a strong answer makes enrolment in the next session the default with an easy one-click deferral (CA-01),
  shortens the booking steps (CA-02), sends a reminder a week before (CA-06) and shows each site's completion against
  similar sites (CA-05); every tool passes the checks because training is in the technicians' safety interest and
  they can still reschedule.
- C3: gain frame: "keep 200 jobs for certain" against "one-third chance to keep all 600"; loss frame: "lose 400 jobs
  for certain" against "two-thirds chance to lose all 600". Expected jobs kept are 200 in both options. People tend to
  pick the certain option in the gain frame and the risky one in the loss frame (Tversky and Kahneman 1981). A
  recommendation should rest on criteria stated in advance (variance tolerance, effects on communities, the
  company's survival), not on the frame.

Self-test:

1. Representativeness (base-rate neglect), availability (overweighting vivid events), anchoring and adjustment
   (insufficient adjustment from a starting value).
2. 40%: `=0.2*0.8/(0.2*0.8+0.8*0.3)`.
3. Reference dependence, loss aversion, diminishing sensitivity, probability weighting.
4. 251.31 (`=100*2.25^(1/0.88)`).
5. Bias is the average error, noise the scatter of judgments; mean squared error equals bias squared plus noise
   squared.
6. Inside-view budgets ignore the problems that typically arise; budget 5.10 as the expected cost with contingency
   up to 6.10 at P80.
7. 20% (`=10%+0.5*(30%-10%)`).
8. Imagining that the decision has already failed and listing the reasons; it must be run before the decision is
   final.
9. They are the same whichever option is chosen; only future costs and benefits differ between the options.
10. Automatic enrolment raised retirement plan participation (Madrian and Shea 2001); opt-out countries had much
    higher organ donation consent (Johnson and Goldstein 2003).
11. 0.25.
12. It should be in the interest of the person nudged and easy to avoid; it should also be transparent.

## Revision history

<!-- Guidance: Add a row each time you apply the card to a new decision or update the evidence. -->

| Version | Date | Author | Change summary |
|---|---|---|---|
| 0.1 | YYYY-MM-DD | [Your name] | First pass through Worked example A |
| 0.2 | YYYY-MM-DD | [Your name] | *Example:* Applied the bias catalogue to a team budget decision |

## Standard and licence note

Based on the primary research works listed above on judgment, decision-making and choice architecture, summarised in
original words. The text, the examples, the numbers and the exercises are original; no textbook, article or published
case is copied or paraphrased, and Corvane Robotics, its people and every number in this card are fictional. The
template is independent and not affiliated with or endorsed by any author, publisher or business school. Check the
original studies and later replications before you rely on a specific effect.
Template licence: MIT.
