How can a price war between two shopkeepers resemble the prisoner’s dilemma?
The normal-form table illustrates the concept of a saddlepoint, or entry, in a payoff matrix at which the expected gain of each participant (row or column) has the highest guaranteed payoff.
A price war between two shopkeepers resembles the prisoner’s dilemma because both scenarios involve interdependent decision-making where individual self-interest leads to a collectively worse outcome.12
In this game theory model, each shopkeeper knows that lowering prices can attract a rival’s customers and increase their own profit. However, if both shopkeepers choose to lower their prices, neither gains a competitive advantage in market share, and both ultimately earn smaller profits than they would have if they had both maintained higher prices.1
This situation mirrors the prisoner's dilemma because:
* Individual Incentive: Each shopkeeper is motivated to lower prices to gain an edge, just as a prisoner is motivated to confess to receive a lighter sentence.1
* Suboptimal Outcome: When both act selfishly by lowering prices, they end up in a worse financial position than if they had cooperated to maintain full prices.1
* Nash Equilibrium: The state where both shopkeepers lower their prices represents a Nash equilibrium, as neither shopkeeper can improve their own outcome by unilaterally changing their strategy once the price war has begun.12