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In game theory, a win–win game or win–win [1] scenario is a situation that produces a mutually beneficial outcome for two or more parties. [2] It is also called a positive-sum game as it is the opposite of a zero-sum game .
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 ...
In game theory, "guess 2 / 3 of the average" is a game where players simultaneously select a real number between 0 and 100, inclusive. The winner of the game is the player(s) who select a number closest to 2 / 3 of the average of numbers chosen by all players.
Game-tree complexity of a game is the number of leaf nodes in the smallest full-width decision tree that establishes the value of the initial position. [1] A full-width tree includes all nodes at each depth. This is an estimate of the number of positions one would have to evaluate in a minimax search to determine the value of the initial position.
Game theorists commonly study how the outcome of a game is determined and what factors affect it. In game theory, a strategy is a set of actions that a player can take in response to the actions of others. Each player’s strategy is based on their expectation of what the other players are likely to do, often explained in terms of probability. [2]
One of the most important concepts in the theory of combinatorial games is that of the sum of two games, which is a game where each player may choose to move either in one game or the other at any point in the game, and a player wins when his opponent has no move in either game. This way of combining games leads to a rich and powerful ...
In game theory, the electronic mail game is an example of an "almost common knowledge" incomplete information game. It illustrates the apparently paradoxical [ 1 ] situation where arbitrarily close approximations to common knowledge lead to very different strategical implications from that of perfect common knowledge.
In game theory, a strategy A dominates another strategy B if A will always produces a better result than B, regardless of how any other player plays matter how that player's opponent or opponents play. Some very simple games (called straightforward games) can be solved using dominance.