Key Takeaways Game theory is the study of how and why players make decisions. Nash equilibrium helps a player determine the best payoff based not only on their decisions but also on the decisions ...

This paper investigates Nash equilibrium under the possibility that preferences may be incomplete. I characterize the Nash-equilibrium-set of such a game as the union of the Nash-equilibrium-sets of ...

The concept of Nash equilibrium has long served as a cornerstone in game theory, characterising a state where no player can benefit by changing their strategy unilaterally. Recent advancements ...

Oriol Carbonell-Nicolau, Richard P. McLean, On the Existence of Nash Equilibrium in Bayesian Games, Mathematics of Operations Research, Vol. 43, No. 1 (February 2018), pp. 100-129 ...

The Nash equilibrium is a sort of balance within game theory that can be achieved when people stick to their strategies. Read more about it inside.

In the last few decades, game theory—the mathematical study of strategies and decision-making—has shed crucial light on the nature of rational behavior. In 1950, a young Princeton mathematics graduate ...

The Nash equilibrium puts forth the concept that the optimal outcome of a game is when there is no incentive for players to deviate from their initial strategy after considering an opponent’s ...

Perhaps game theory generally, and the Nash equilibrium in particular, captures something about relationships in the world that goes deeper than mere analogy. If so, that would be beautiful.

Biologists have even used the notion of Nash equilibrium to formulate the idea of evolutionary stability. Here are a few examples to convey some ideas of game theory and the breadth of its scope.

So Nash’s theorem has wide-reaching implications. In poker, it justifies the search for optimal strategies in a game once thought to rely on gut instinct and reading tells.