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What Is A Game In Game Theory?

Posted on June 2, 2025June 25, 2025 by Brian Colwell

Game Theory transforms the messy complexities of strategic decision-making into elegant mathematical frameworks. At its heart lies a powerful insight: when outcomes depend on the choices of multiple rational actors, we can systematically analyze the web of interdependencies to predict behavior and identify optimal strategies.

Whether you’re negotiating a business deal, designing public policy, or simply trying to understand the dynamics of everyday social interactions, game theory offers a powerful lens through which to view the world—one move at a time.

What Is A Game In Game Theory?

The object of study in Game Theory is the “game”, which is a formal description of a strategic situation.

In a game, each decision-maker (player) chooses its strategy to maximize its utility, given the other players’ strategies. By “utility” what is meant is a payoff, an interest, or a revenue of some type that reflects the player’s expected outcome, and players are assumed to be “rational”, as in self-interested, with the goal to always maximize their own payoffs. According to von Neumann & Morgenstern, “The aim of all participants in the economic system, consumers as well as entrepreneurs, is money”.

From here, decision models are created in keeping with the rules of the game to reflect the options available to the players, and solutions for best and worst outcomes (consequences) are explored based on possible player strategies. 

Parrachino, Zara & Patrone sum up the topic nicely: Games in “Game Theory consist of a modeling part and a solution part. Mathematical models of conflicts and of cooperation provide strategic behavioral patterns, and the resulting payoffs to the players are determined according to certain solution concepts.”

In The Art of Strategy, Dixit and Nalebuff state that a game is “a situation of strategic interdependence: the outcome of your choices (strategies) depends upon the choices of one or more other persons acting purposely,” and that there are four rules a player should follow when choosing moves and consequences:

– Rule 1: Look forward and reason backward.

– Rule 2: If you have a dominant strategy, use it.

– Rule 3: Eliminate dominated strategies from consideration.

– Rule 4: Look for equilibrium, a pair of strategies in which each player’s action is the best response to the other’s.

Decision trees and matrices are often used in Game Theory to describe the choices available to players, but, as said by Will Lissner in his article, ‘Mathematical Theory of Poker Applied to Business Problems’, “The illustration, of course, loses the generality and the rigor of the formula.”

Final Thoughts

The beauty of Game Theory lies not just in its mathematical rigor, but in its universal applicability. From poker tables to boardrooms, from international diplomacy to everyday negotiations, the same fundamental principles apply. The four rules outlined by Dixit and Nalebuff—looking forward and reasoning backward, leveraging dominant strategies, eliminating inferior options, and seeking equilibrium—provide a practical toolkit for navigating any strategic situation.

Yet as Will Lissner reminds us, the map is not the territory. The clean matrices and decision trees that populate game theory textbooks are simplifications of reality’s infinite complexity. Real-world players aren’t always perfectly rational, information is rarely complete, and human emotions and relationships add dimensions that resist easy quantification.

This tension between mathematical elegance and real-world messiness isn’t a bug—it’s a feature. Game Theory’s value lies not in providing perfect predictions, but in offering a structured way to think about strategic interactions. It trains us to consider not just our own goals, but how others’ responses to our actions shape the ultimate outcomes. In an increasingly interconnected world where strategic interdependence is the norm rather than the exception, these insights have never been more valuable.

Thanks for reading!

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