Two support results for the Kalai-Smorodinsky solution in small object division markets

被引：3
|
作者：
Haake, Claus-Jochen [1 ]
机构：
[1] Univ Bielefeld, IMW, D-33501 Bielefeld, Germany
来源：
MATHEMATICAL SOCIAL SCIENCES | 2009年 / 57卷 / 02期
关键词：
Support result; Object division market; Kalai-Smorodinsky solution; NASH PROGRAM; IMPLEMENTATION;
D O I：
10.1016/j.mathsocsci.2008.09.004
中图分类号：
F [经济];
学科分类号：
02 ;
摘要：
We discuss two support results for the Kalai-Smorodinsky bargaining solution in the context of an object division problem involving two agents. Strategic interaction determines an allocation of objects, so that evaluation with individual utilities constitute the pay-offs in the derived games. These allocations of objects are obtained through individual demand in a specific market for objects. For the first support result, games in strategic form are derived that exhibit a unique Nash equilibrium and equilibrium payoffs equal the Kalai-Smorodinsky solution of the underlying bargaining problem. The second result uses subgame perfect equilibria of a game in extensive form. Again, payoffs in any subgame perfect equilibrium coincide with the Kalai-Smorodinsky solution. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：177 / 187
页数：11
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