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2. Normal-form game - Wikipedia

   en.wikipedia.org/wiki/Normal-form_game

   A payoff function for a player is a mapping from the cross-product of players' strategy spaces to that player's set of payoffs (normally the set of real numbers, where the number represents a cardinal or ordinal utility—often cardinal in the normal-form representation) of a player, i.e. the payoff function of a player takes as its input a ...

3. Risk dominance - Wikipedia

   en.wikipedia.org/wiki/Risk_dominance

   Risk dominance and payoff dominance are two related refinements of the Nash equilibrium (NE) solution concept in game theory, defined by John Harsanyi and Reinhard Selten.A Nash equilibrium is considered payoff dominant if it is Pareto superior to all other Nash equilibria in the game. 1 When faced with a choice among equilibria, all players would agree on the payoff dominant equilibrium since ...

4. Bimatrix game - Wikipedia

   en.wikipedia.org/wiki/Bimatrix_game

   In game theory, a bimatrix game is a simultaneous game for two players in which each player has a finite number of possible actions. The name comes from the fact that the normal form of such a game can be described by two matrices - matrix describing the payoffs of player 1 and matrix describing the payoffs of player 2.

5. Template:Payoff matrix - Wikipedia

   en.wikipedia.org/wiki/Template:Payoff_matrix

   Main page; Contents; Current events; Random article; About Wikipedia; Contact us; Pages for logged out editors learn more

6. Template:Payoff matrix/doc - Wikipedia

   en.wikipedia.org/wiki/Template:Payoff_matrix/doc

   This is a documentation subpage for Template:Payoff matrix. It may contain usage information, categories and other content that is not part of the original template page. Usage

7. Game theory - Wikipedia

   en.wikipedia.org/wiki/Game_theory

   The payoffs are provided in the interior. The first number is the payoff received by the row player (Player 1 in our example); the second is the payoff for the column player (Player 2 in our example). Suppose that Player 1 plays Up and that Player 2 plays Left. Then Player 1 gets a payoff of 4, and Player 2 gets 3.

8. Zero-sum game - Wikipedia

   en.wikipedia.org/wiki/Zero-sum_game

   Suppose a zero-sum game has a payoff matrix M where element M i,j is the payoff obtained when the minimizing player chooses pure strategy i and the maximizing player chooses pure strategy j (i.e. the player trying to minimize the payoff chooses the row and the player trying to maximize the payoff chooses the column).

9. Nash equilibrium - Wikipedia

   en.wikipedia.org/wiki/Nash_equilibrium

   The rule goes as follows: if the first payoff number, in the payoff pair of the cell, is the maximum of the column of the cell and if the second number is the maximum of the row of the cell - then the cell represents a Nash equilibrium.