Marginality, differential marginality, and the Banzhaf value

Andre Casajus

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Marginality, differential marginality, and the Banzhaf value

机译：边际，微分边际和Banzhaf值

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We revisit the Nowak (Int J Game Theory 26:137-141, 1997) characterization of the Banzhaf value via 2-efficiency, the Dummy player axiom, symmetry, and marginality. In particular, we provide a brief proof that also works within the classes of superadditive games and of simple games. Within the intersection of these classes, one even can drop marginality. Further, we show that marginality and symmetry can be replaced by van den Brink fairness/differential marginality. For this axiomatization, 2-efficiency can be relaxed into superadditivity on the full domain of games.

机译：我们通过2效率，虚拟玩家公理，对称性和边缘性来重新审视Banzhaf值的Nowak（国际游戏理论26：137-141，1997）。特别是，我们提供了一个简短的证明，该证明也适用于超加性游戏和简单游戏的类。在这些类别的交集内，甚至可以降低边缘性。此外，我们表明边际性和对称性可以被范登布林克公平性/差分边际性代替。对于这种公理化，可以在整个游戏领域将2效率放宽为超级可加性。

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《Theory and Decision》 |2011年第3期|p.365-372|共8页
作者
Andre Casajus;
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作者单位

LSI Leipziger Spieltheoretisches Institut, c/o Restaurant Zest, Bornaische StraBe 54, 04277 Leipzig, Germany,IMW Institute of Mathematical Economics, Bielefeld University, PF 100131, 33501 Bielefeld, Germany,Chair of Economics and Information Systems, HHL Leipzig Graduate School of Management, Jahnallee 59, 04109 Leipzig, Germany,Wirtschaftswissenschaftliche Fakultat, Universitat Leipzig, PF 100920,04009 Leipzig, Germany;

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正文语种 eng
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banzhaf value; additivity; marginality; differential marginality;

机译：班扎夫价值可加性边缘化微分边际;

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Marginality, differential marginality, and the Banzhaf value

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