Definition

Noun: 1. A mathematical theory of competition and decision-making: This term refers to a formal, mathematical framework for analyzing situations of conflict, cooperation, and strategic interaction between rational decision-makers (players). It models scenarios where the outcome for each participant depends not only on their own choices but also on the choices of others. The analysis is typically stated in terms of the payoffs, gains, and losses for the opposing players. * Note: This is the standard definition in fields like economics, political science, and biology. It is synonymous with "game theory."

Usage Examples

• Noun:
  • The economist used the theory of games to model the pricing strategies of competing firms.
  • Understanding the theory of games is essential for analyzing arms races and international negotiations.
  • His research applies the theory of games to evolutionary biology, explaining animal conflict behaviors.

Advanced Usage

• "to apply the theory of games": to use the principles and models of game theory to analyze a specific situation.
  • We can apply the theory of games to this bargaining problem to predict the most likely outcome.
• Conceptual use in academic discourse:
  • The prisoner's dilemma is a classic example within the theory of games that illustrates why two rational individuals might not cooperate, even when it seems in their best interest.

Variants and Related Words

• Game Theory (n): The more common, synonymous term for "theory of games." All usage is identical.
  • Game theory and the theory of games refer to the same academic discipline.
• Strategic Interaction (n): A broader, less formal term describing the situations that the theory of games aims to model.
• Nash Equilibrium (n): A central solution concept within the theory of games, named for mathematician John Nash.

Synonyms

• Game Theory: The direct and most frequently used synonym.
• Strategic Decision Theory: A less common synonym emphasizing the decision-making aspect.

Related Phrases

• Zero-sum game: A specific type of strategic interaction modeled by the theory of games where one player's gain is exactly balanced by the losses of other player(s).
  • Poker is often described as a zero-sum game in the theory of games.
• Non-cooperative game: A branch of the theory of games that analyzes how strategic interactions unfold when binding agreements between players are not possible.
• Payoff matrix: A table used in the theory of games to represent the potential outcomes (payoffs) for each player based on the combination of strategies chosen.

Noun

1. (economics) a theory of competition stated in terms of gains and losses among opposing players