IAI Actuarial Core Principles · Business Management

Decision-Making Process, Attitude to Risk and Competition

This chapter covers how a business makes decisions under uncertainty and rivalry. You define the problem, list options, assess outcomes, apply a criterion such as expected value or maximin, allow for risk attitude through utility, then test the choice against competitors using industry analysis and game theory. Show every step in your answer.

What this chapter covers

This chapter teaches you a structured way to decide. It starts with the decision process: define the objective, generate options, gather information, evaluate, choose, implement and review. It then moves to tools that rank options when outcomes are uncertain: decision criteria and decision trees.

Next it asks whether the decision-maker is neutral to risk or not. Utility theory explains why two people can face the same expected value and choose differently. The last part looks outside the firm. Industry analysis shows how competitive the market is. Game theory shows how your best choice depends on what rivals do.

In CB3 this chapter feeds the case studies directly. You are given a business situation and must recommend an action. The ideas here give you a framework for the recommendation, and they link to strategy, finance and risk material elsewhere in the paper. They also support the multiple-choice questions, which often test a definition or a short calculation.

CB3 rewards applied judgement, not recall alone. Case-study questions ask you to choose between options and justify the choice, and this chapter gives you the tools and vocabulary to do that. It also contains short calculations (expected values, a maximin choice, a payoff matrix) that are quick marks in the multiple-choice section if you practise them. Because the paper is short, a clear framework saves time: you can structure an answer fast and avoid vague discussion. Since the CB3 pass mark is 50%, steady marks from these methods matter.

Decision-making process, attitude to risk and competition: topics in the order to study them

1Business Decision-Making ProcessIt gives the overall framework that every later tool fits into, so learn it first.
2Decision Criteria and Decision TreesThese are the core calculation tools, and they build on the process by evaluating options under uncertainty.
3Attitude to Risk and Utility TheoryIt explains why expected value alone can mislead, so it only makes sense after you have used expected values.
4Competitive Environment and Industry AnalysisIt moves the focus from the firm to the market, giving context before you model rival behaviour.
5Game Theory and Competitive DecisionsIt comes last because it combines payoff tables from decision criteria with the competitor view from industry analysis.

How to prepare Decision-making process, attitude to risk and competition

Aim to be able to both explain each idea in words and apply it to a small numerical case. Short, regular sessions work well on a phone.

Write the decision process as a list of stages from memory, and add one business example for each stage.
Practise decision criteria on a small payoff table: expected value, maximin, maximax and minimax regret. Work each one fully, then compare the answers and note why they differ.
Draw decision trees by hand. Use squares for decisions and circles for chance events, work from right to left, and record the expected value at each node.
Learn utility theory in plain words: risk-averse, risk-neutral and risk-seeking attitudes, and how the shape of the utility curve shows each. Practise explaining why a risk-averse person may reject a bet with positive expected value.
Study industry analysis with a framework such as Porter's five forces. Apply it to a familiar Indian industry and note what each force means for profit.
Solve two-player payoff matrices: find dominant strategies, check for a Nash equilibrium, and explain the prisoner's dilemma in a pricing setting.
Finish with timed past-style case questions. Write a short recommendation, give reasons, and state the risks and assumptions.

Common mistakes in Decision-making process, attitude to risk and competition

Using expected value for every decision without comment.
Fix: State that it suits a risk-neutral decision-maker, then note when risk attitude, one-off decisions or large losses make another criterion or utility more suitable.
Calculating regret from the wrong reference point.
Fix: Regret is measured within each state of nature: the best payoff in that state minus the payoff of each option. Build the regret table column by column.
Rolling back a decision tree in the wrong direction or mixing up node types.
Fix: Start at the right. At a chance node take the expected value. At a decision node take the best option. Mark rejected branches clearly.
Confusing the shape of the utility curve with risk attitude.
Fix: Remember that a risk-averse person values a certain amount more than a gamble with the same expected value, so utility rises at a decreasing rate and the curve is concave.
Listing the five forces or game theory terms without applying them to the case.
Fix: For each point, use a fact from the case, say what it means for profit or strategy, and end with a clear recommendation.
Finding a Nash equilibrium by looking only at one player.
Fix: Check each cell: neither player should be able to improve their payoff by switching alone. Mark best responses for both players and look for the overlap.

Last-day revision: Decision-making process, attitude to risk and competition

Decision process: define objective, generate options, gather information, evaluate, choose, implement, review.
Expected value = Σ (probability × outcome); it suits a risk-neutral decision-maker making repeated decisions.
Maximin picks the option with the best worst outcome; it is a cautious criterion.
Maximax picks the option with the best best outcome; it is an optimistic criterion.
Minimax regret picks the option with the smallest largest regret, where regret = best outcome in that state − your outcome.
Decision trees: squares are decisions, circles are chance events; roll back from right to left.
A risk-averse person has a concave utility function; a risk-seeking person has a convex one.
Expected utility compares options by Σ (probability × utility), not by money value.
Porter's five forces: rivalry, threat of new entrants, threat of substitutes, buyer power, supplier power.
A dominant strategy is best whatever the rival does; a Nash equilibrium is where neither player gains by changing alone.
In the prisoner's dilemma, each side's rational choice can leave both worse off than cooperating.
Always state assumptions and name the criterion you used when you recommend an option.

Decision-making process, attitude to risk and competition practice questions

Decision-making process, attitude to risk and competition in other exams

The same ground in other exams, if you are preparing for more than one or want another angle on it.

Decision-making process, attitude to risk and competition: frequently asked questions

Is this chapter mostly theory or calculation?

It is both. The decision process, risk attitude and industry analysis are mainly explained in words. Decision criteria, decision trees and payoff matrices need short calculations, so practise both styles.

What is the difference between maximin and minimax regret?

Maximin looks at the worst payoff of each option and picks the best of those. Minimax regret looks at how much you would lose compared with the best choice in each state, and picks the option whose largest regret is smallest. They can recommend different options.

Why would someone reject a bet with positive expected value?

A risk-averse person gives extra weight to avoiding a large loss. Their utility for a certain sum is higher than the expected utility of the gamble, even when the expected money value is higher.

How do I use game theory in a case study?

Identify the players, their options and the payoffs, and set them out in a matrix. Look for dominant strategies and a Nash equilibrium, then explain what the rival is likely to do and what you should do in response.