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Separately, game theory has played a role in online algorithms; in particular, the k-server problem, which has in the past been referred to as games with moving costs and request-answer games. [124] Yao's principle is a game-theoretic technique for proving lower bounds on the computational complexity of randomized algorithms , especially online ...
S is α-effective if the members of S have strategies s.t. no matter what the complement of S does, the outcome will be a. S is β-effective if for any strategies of the complement of S, the members of S can answer with strategies that ensure outcome a. Finite game is a game with finitely many players, each of which has a finite set of strategies.
A straightforward example of maximizing payoff is that of monetary gain, but for the purpose of a game theory analysis, this payoff can take any desired outcome—cash reward, minimization of exertion or discomfort, or promoting justice can all be modeled as amassing an overall “utility” for the player.
In game theory, a sequential game has perfect information if each player, when making any decision, is perfectly informed of all the events that have previously occurred, including the "initialization event" of the game (e.g. the starting hands of each player in a card game). [1] [2] [3] [4]
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Stalling, or intentionally slowing game play in timed games, for personal advantage or to that of a currently leading player, is normally treated as unsportsmanlike conduct. The use of revokes , or intentional rules violations, in trick-taking card games , to void a round and effect a kingmaker scenario is discouraged by use of severe penalties.
Conditions on G (the stage game) – whether there are any technical conditions that should hold in the one-shot game in order for the theorem to work. Conditions on x (the target payoff vector of the repeated game) – whether the theorem works for any individually rational and feasible payoff vector, or only on a subset of these vectors.
In game theory, an epsilon-equilibrium, or near-Nash equilibrium, is a strategy profile that approximately satisfies the condition of Nash equilibrium.In a Nash equilibrium, no player has an incentive to change his behavior.