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Strategic Voting in a Social Context: Considerate Equilibria

机译:在社会背景下的战略投票:体贴平衡

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In a voting system, voters may adopt a strategic behaviour in order to manipulate the outcome of the election. This naturally entails a game theoretic conception of voting. The specificity of our work is that we embed the voting game into a social context where agents and their relations are given by a graph, i.e. a social network. We aim at integrating the information provided by the graph in a refinement of the game-theotical analysis of an election. We consider coalitional equilibria immune to deviations performed by realistic coalitions based on the social network, namely the cliques of the graph. Agents are not fully selfish as they have consideration for their relatives. The corresponding notion of equilibrium was introduced by Hoefer et al. [12] and called considerate equilibrium. We propose to study its existence and the ability of the agents to converge to such an equilibrium in strategic voting games using well-known voting rules: Plurality, Antiplurality, Plurality with runoff, Borda, k-approval, STV, Maximin and Copeland.
机译:在投票制度中,选民可能采取战略行为,以操纵选举的结果。这自然需要一种博弈的投票的理论观念。我们的作品的特殊性是我们将投票游戏嵌入了一个社会背景,其中一个图表,即社会网络给出了一个图表。我们的目标是整合图表提供的信息,以改进选举的游戏分析。我们考虑基于社交网络的现实联盟执行的偏离直接均衡,即图表的派系。代理人并不完全自私,因为他们对他们的亲属进行了考虑。 Hoefer等人引入了相应的平衡概念。 [12]并称为均衡。我们建议使用众所周知的投票规则研究其存在和代理商在战略投票游戏中汇集的这种均衡的能力:多元,抗预成品,多元化径流,波尔达,K批准,STV,Maximin和Copeland。

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