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Coalitions and rationality

机译:联盟与理性

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let us consider a cooperative game G=(N,W) where N={1, ...,n} is the set of players, W is an arbitrary family of subsets of N. Subsets of N are called coalitions, elements of W are called winning coalitions. One of most popular example of cooperative game is a voting game, where each player has a weight ω_I, where ω_I is a natural number. Coalition C is a winning coalition of the sum of weights of members of coalition C is greater that r, where r is defined by the game. Usually, r is greater than a half of the sum of all weights. Voting games are used to describe a situation in a parliament. Players are parties. Weight of are used to describe a situation in a parliament who represent the party.
机译:让我们考虑一个合作游戏G =(N,W),其中N = {1,...,n}是玩家集合,W是N的子集的任意族。N的子集称为联盟,是W称为获胜联盟。合作游戏的最流行示例之一是投票游戏,其中每个参与者的权重为ω_I,其中ω_I为自然数。联盟C是联盟C成员的权重之和大于r的获胜联盟,其中r由游戏定义。通常,r大于所有权重之和的一半。投票游戏用来描述议会的情况。玩家是聚会。的权重用于描述代表该党的议会中的局势。

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