Efficient extensions of the Myerson value
Efficient extensions of the Myerson value
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DOI：
10.1007/s00355-015-0885-4
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发表时间：
2015-03
影响因子：
0.9
通讯作者：
S. Béal;André Casajus;Frank Huettner
中科院分区：
文献类型：
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作者：
S. Béal;André Casajus;Frank Huettner
我们研究通过通信图（CO-游戏）丰富的可转移效用游戏的价值，其中该图不一定影响生产力，但可以影响玩家分配大联盟产生的价值的方式。因此，我们可以设想高效的值，而不是组件高效的值。对于具有连通图的协同博弈，效率和组件效率是一致的。特别是，Myerson 值（Myerson in Math Oper Res 2:22–229, 1977）对于此类游戏非常有效。此外，公平是迈尔森价值观的特征。我们确定了对所有协同博弈有效的值，与具有连通图的协同博弈的迈尔森值一致，并且满足公平性。
We study values for transferable utility games enriched by a communication graph (CO-games) where the graph does not necessarily affect the productivity but can influence the way the players distribute the worth generated by the grand coalition. Thus, we can envisage values that are efficient instead of values that are component efficient. For CO-games with connected graphs, efficiency and component efficiency coincide. In particular, the Myerson value (Myerson in Math Oper Res 2:22–229, 1977) is efficient for such games. Moreover, fairness is characteristic of the Myerson value. We identify the value that is efficient for all CO-games, coincides with the Myerson value for CO-games with connected graphs, and satisfies fairness.