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This example is a two-person non-cooperative non-zero sum (TNNC) game with opposite payoffs or conflicting preferences. [14] Because there are two Nash equilibria, this case is a pure coordination problem with no possibility of refinement or selection. [ 12 ]
Constant sum: A game is a constant sum game if the sum of the payoffs to every player are the same for every single set of strategies. In these games, one player gains if and only if another player loses. A constant sum game can be converted into a zero sum game by subtracting a fixed value from all payoffs, leaving their relative order unchanged.
The terms "transitive game" or "intransitive game" are not used in game theory. A prototypical example of an intransitive game is the game rock, paper, scissors. In probabilistic games like Penney's game, the violation of transitivity results in a more subtle way, and is often presented as a probability paradox.
In game theory, the war of attrition is a dynamic timing game in which players choose a time to stop, and fundamentally trade off the strategic gains from outlasting other players and the real costs expended with the passage of time.
The Berge equilibrium is a game theory solution concept named after the mathematician Claude Berge. It is similar to the standard Nash equilibrium, except that it aims to capture a type of altruism rather than purely non-cooperative play. Whereas a Nash equilibrium is a situation in which each player of a strategic game ensures that they ...
A player i is a dummy if he has no effect on the outcome of the game. I.e. if the outcome of the game is insensitive to player i's strategy. Antonyms: say, veto, dictator. Effectiveness A coalition (or a single player) S is effective for a if it can force a to be the outcome of the game.
A game modeled after the iterated prisoner's dilemma is a central focus of the 2012 video game Zero Escape: Virtue's Last Reward and a minor part in its 2016 sequel Zero Escape: Zero Time Dilemma. In The Mysterious Benedict Society and the Prisoner's Dilemma by Trenton Lee Stewart , the main characters start by playing a version of the game and ...
The game of chicken, also known as the hawk-dove game or snowdrift game, [1] is a model of conflict for two players in game theory.The principle of the game is that while the ideal outcome is for one player to yield (to avoid the worst outcome if neither yields), individuals try to avoid it out of pride, not wanting to look like "chickens".