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In a Prisoner's Dilemma game between two players, player one and player two can choose the utilities that are the best response to maximise their outcomes. "A best response to a coplayer’s strategy is a strategy that yields the highest payoff against that particular strategy". [9] A matrix is used to present the payoff of both players in the ...
The prisoner's dilemma is a game theory thought experiment involving two rational agents, each of whom can either cooperate for mutual benefit or betray their partner ("defect") for individual gain. The dilemma arises from the fact that while defecting is rational for each agent, cooperation yields a higher payoff for each.
Game theory is the study of mathematical models of strategic interactions. [1] ... Normal form or payoff matrix of a 2-player, 2-strategy game The ...
The normal-form representation of a game includes all perceptible and conceivable strategies, and their corresponding payoffs, for each player. In static games of complete, perfect information, a normal-form representation of a game is a specification of players' strategy spaces and payoff functions. A strategy space for a player is the set of ...
Template: Payoff matrix. 15 languages. ... This template allows simple construction of 2-player, 2-strategy payoff matrices in game theory and other articles.
This is a documentation subpage for Template:Payoff matrix. ... 2-strategy payoff matrices in game theory and other articles. There are no required fields:
The expected payoff for playing strategy 1 / 2 Y + 1 / 2 Z must be greater than the expected payoff for playing pure strategy X, assigning 1 / 2 and 1 / 2 as tester values. The argument for mixed strategy dominance can be made if there is at least one mixed strategy that allows for dominance.
I think the colour-coded matrix would be useful pedagogically to illustrate which payoffs are whose when the matrix is being explained (i.e. in an article about payoff matrices), but in all other cases (when a payoff matrix is being used not for its own sake), I'd prefer to see the standard ordered pair.