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John Forbes Nash Jr. (June 13, 1928 – May 23, 2015), known and published as John Nash, was an American mathematician who made fundamental contributions to game theory, real algebraic geometry, differential geometry, and partial differential equations.
The subgame perfect equilibrium in addition to the Nash equilibrium requires that the strategy also is a Nash equilibrium in every subgame of that game. This eliminates all non-credible threats , that is, strategies that contain non-rational moves in order to make the counter-player change their strategy.
Number of pure strategy Nash equilibria: A Nash equilibrium is a set of strategies which represents mutual best responses to the other strategies. In other words, if every player is playing their part of a Nash equilibrium, no player has an incentive to unilaterally change their strategy.
The solutions are normally based on the concept of Nash equilibrium, and these solutions are reached by using methods listed in Solution concept. Most solutions used in non-cooperative game are refinements developed from Nash equilibrium, including the minimax mixed-strategy proved by John von Neumann. [8] [13] [20]
A significant part of Tian's research has been focused on characterization of the existence of equilibrium in discontinuous games. Tian and his co-authors systematically studied the existence of Nash equilibrium in discontinuous games, and characterized the existence of Nash equilibrium by weakening the traditional continuity, convexity and ...
Daskalakis co-authored The Complexity of Computing a Nash Equilibrium [8] with his doctoral advisor Christos Papadimitriou and Paul W. Goldberg, for which they received the 2008 Kalai Game Theory and Computer Science Prize from the Game Theory Society for "the best paper at the interface of game theory and computer science", [9] in particular ...
A Bayesian Nash Equilibrium (BNE) is a Nash equilibrium for a Bayesian game, which is derived from the ex-ante normal form game associated with the Bayesian framework. In a traditional (non-Bayesian) game, a strategy profile is a Nash equilibrium if every player's strategy is a best response to the other players' strategies.
Strict stationary equilibria: [6] A Nash equilibrium is called strict if each player strictly prefers the infinite sequence of outcomes attained in equilibrium, over any other sequence he can deviate to. A Nash equilibrium is called stationary if the outcome is the same in each time-period. An outcome is attainable in strict-stationary ...
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