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Prisoners Dilemma

The prisoner's dilemma is a famous idea from game theory showing why two parties who would both do better by cooperating can still end up choosing the option that leaves both worse off. Each side has a personal reason to cheat, so cooperation breaks down.

It helps explain price wars, arms races and other situations where self-interest produces a poor shared result.

From the Money Master HQ dictionary, founded by Shihan Sheriff (FCMA, VP of Finance at Nomod, CFO at Esanjo Ventures). How these definitions are written.

What it means

The original story involves two suspects questioned separately. Each can stay silent, which helps both, or betray the other, which helps the betrayer at the other's expense.

Whatever the other does, betraying looks better, so both betray and both end up worse off than if they had stayed silent. Business has many versions.

Two competing companies can each keep prices high or cut them. If both keep prices high they share healthy profits, but each is tempted to cut to win customers, and if both cut they end up with lower profits than before.

The logic rests on a particular pattern of payoffs: the reward for tempting the other side is higher than the reward for mutual cooperation, which is higher than the result of mutual defection, which is higher than being the one betrayed. When that ordering holds, defection is the best reply to either choice.

That is why the outcome is stable, even though it is worse for both. Real life differs from the one-off story because businesses meet repeatedly.

When the game is repeated, firms can punish cheating and reward cooperation, and strategies such as matching what the other did last time can sustain good outcomes. Trust, reputation, contracts and regulation also help, although competition law prohibits companies from agreeing to fix prices.

Managers can use the idea to think through strategic choices. Before starting a price cut, a promotion or an expansion, ask how rivals will respond and whether both sides end up worse off.

It also explains why industries often rely on rules, standards and trade bodies to avoid destructive races. The idea also applies inside companies.

Departments that compete for a shared budget may each overspend to protect their share, leaving the whole organisation worse off. Clear rules, shared targets and transparent reporting help teams avoid that pattern.

In practice

Real-world examples.

1

Example

Two airlines on the same route consider cutting fares. Each fears the other will do it first, so both cut, and the route becomes less profitable for both. Passengers benefit from the lower fares, but the carriers' profits suffer.

2

Example

Two neighbouring restaurants compete on lunch deals. Each increases its discounts to win customers from the other, and both end up with similar customer numbers but lower margins. Neither gains a lasting advantage because the other always matches.

3

Example

Several oil-producing countries agree to limit output to support prices. Each is tempted to produce more in secret, which tests whether the agreement can hold. The agreement works only while each country trusts the others to comply.

Formula

Calculation

A prisoner's dilemma exists when Temptation > Reward > Punishment > Sucker's payoff, written T > R > P > S. Two rival firms each choose to Hold price or Cut price. If both hold, each earns $10,000,000 a year. If one cuts and the other holds, the cutter earns $14,000,000 and the holder earns $4,000,000. If both cut, each earns $6,000,000. So T = $14,000,000, R = $10,000,000, P = $6,000,000 and S = $4,000,000, and 14 > 10 > 6 > 4 is satisfied. If the rival holds, cutting gives $14,000,000 against $10,000,000 for holding. If the rival cuts, cutting gives $6,000,000 against $4,000,000 for holding. Cutting is better either way, so both cut and each earns $6,000,000, a combined $12,000,000, compared with $20,000,000 if both had held.

Case study

Seen in the real world.

Brightmart and Citymarket are fictional supermarket chains in a mid-sized town. In an illustrative year, Brightmart announced a price cut on groceries and Citymarket matched it within days.

Both stores saw similar sales volumes as before but lower profit per item. The finance directors of each company calculated that the price war had cut annual profit by roughly a third and had not shifted market share in any lasting way.

Both chains then switched to competing through quality, loyalty schemes and convenience, which are harder to copy quickly. The fictional case shows how a pure price race can be a dilemma, and how moving the competition to a new dimension can escape it.

Watch out

Common mistakes.

  • Assuming cooperation will hold because it is in everyone's interest, when each side may still gain by cheating.
  • Treating a one-off game as a repeated one, which changes whether trust and punishment are possible.
  • Trying to solve it by agreeing prices with competitors, which breaks competition law in most countries.

Questions

People also ask.

What is the Nash equilibrium of the prisoner's dilemma?

It is the outcome where both defect, because neither side can improve its result by changing its choice alone.

How can businesses escape the dilemma?

Through repeated dealings, clear signals, contracts, differentiation and rules that make cheating costly.

Is it only about crime?

No, the name comes from the story, but the idea applies to pricing, advertising, environmental agreements and many other strategic situations.

Was this explanation helpful?

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Last updated · October 8, 2026
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