Why do firms engage in price wars that reduce profits for everyone involved? Why do consumers rapidly adopt digital payment systems once others begin using them? Why do countries enter strategic rivalries even when cooperation would benefit all sides?
Game theory attempts to answer these questions by studying strategic interactions — situations in which the decisions of one individual or organisation depend on the anticipated actions of others. Widely used in economics, politics, and behavioural analysis, game theory provides a framework for understanding incentives, competition, cooperation, and decision-making under constraints.
One major limitation of game theory is its assumption that individuals act rationally. In reality, human decision-making is often influenced by emotions, biases, imperfect information, and social behaviour. This limitation contributed to the development of behavioural economics, which studies how people make decisions in practice rather than how they are theoretically expected to behave.
Important Terminology
Game
Any set of circumstances that has a result dependent on the actions of two or more decision-makers (players).
Players
A strategic decision-maker within the context of the game.
Strategy
A complete plan of action that a player will take given the circumstances that might arise within the game.
Payoff
The payout a player receives from arriving at a particular outcome. The payout can be in any quantifiable form, from dollars to utility.
Equilibrium
The point in a game where the players have made their decisions and an outcome is decided—a stable state in a game where no player can gain an advantage by changing their strategy.
Types of Games in Game Theory
Cooperative and non-cooperative games
Cooperative games involve players discussing and negotiating strategies for mutual benefit, whereas non-cooperative games involve players making decisions independently to maximise their own benefit.
Normal form and extensive form games
Normal-form games refer to matrix games where players plot their strategies and payoffs on a table to identify the Nash equilibrium. Extensive-form games plot players’ actions and consequences to account for different events and decisions. For example, it can be used to determine an industry’s barrier of entry.
Simultaneous move and sequential move games
Simultaneous move games involve players making decisions without knowing each other’s strategies. Sequential move games involve players making decisions based on the actions of other players.
Symmetric and asymmetric games
In symmetric games, players use uniform strategies, while in asymmetric games, players choose different strategies that affect the overall outcome.
Important Concepts
Prisoner’s Dilemma
The prisoner’s dilemma is a paradox in which two individuals acting in self-interest do not produce the optimal outcome. Consider two criminals who have been arrested but are kept separate. They can either confess to each other (defecting) or remain silent (cooperating). If both decide to confess, they will receive a moderate punishment. If one confesses while the other stays silent, the confessor will face a light sentence, whereas the silent one will incur a severe punishment. If both choose to remain silent, they will receive a lesser penalty. The prisoner’s dilemma demonstrates how rational individuals pursuing their own interests can sometimes produce outcomes that are worse for everyone involved.
Nash Equilibrium
The Nash equilibrium is a game theory concept where a player maximises their chances of achieving their goal by sticking to their initial strategy. In this scenario, each player’s strategy is optimal, considering the choices of others, leading to outcomes everyone desires. The Nash equilibrium often relates to the dominant strategy, where an actor’s choice yields the best results regardless of opponents’ strategies. However, it doesn’t always guarantee the most optimal strategy is selected.
Applications in Economics
Market Behaviour and Competition
- Oligopoly Analysis: Game theory helps understand the behaviour of firms in oligopolistic markets, where a few companies dominate. It models scenarios like price-fixing and collusion using concepts such as the Nash equilibrium, where firms choose strategies that are optimal given the strategies of their competitors.
- Auction Theory: Game theory is essential in analysing different auction formats, helping to predict bidder behaviour and outcomes based on expected costs and revenues under various auction methods.
Strategic Decision-Making
- Dominant Strategies: This concept involves determining the best strategy for a player regardless of what others do. For instance, firms may decide whether to enter new markets or change pricing strategies based on anticipated competitor actions.
- Cooperative Games: Game theory also explores how firms can benefit from cooperation, such as forming alliances or joint ventures to enhance market power or share resources effectively.
Policy Formulation
- Economists utilise game theory to design better policies by predicting how individuals or firms will respond to regulatory changes. This includes understanding incentives and potential outcomes in economic policies, such as tariffs or subsidies.
Despite its limitations, game theory remains one of the most influential frameworks in economics because it helps explain how individuals, firms, and governments make decisions in competitive and interconnected environments. Its applications continue to shape modern economic analysis, policy-making, and strategic thinking.
Further Reading and Sources
Investopedia – Prisoners Dilemma
What is game theory in economics?
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