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The ordinal egalitarian bargaining solution for finite choice sets

机译:有限选择集的有序均等讨价还价解决方案

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摘要

Rubinstein et al. (Econometrica 60:1171–1186, 1992) introduced the Ordinal Nash Bargaining Solution. They prove that Pareto optimality, ordinal invariance, ordinal symmetry, and IIA characterize this solution. A feature of their work is that attention is restricted to a domain of social choice problems with an infinite set of basic allocations. We introduce an alternative approach to solving finite social choice problems using a new notion called the Ordinal Egalitarian (OE) bargaining solution. This suggests the middle ranked allocation (or a lottery over the two middle ranked allocations) of the Pareto set as an outcome. We show that the OE solution is characterized by weak credible optimality, ordinal symmetry and independence of redundant alternatives. We conclude by arguing that what allows us to make progress on this problem is that with finite choice sets, the counting metric is a natural and fully ordinal way to measure gains and losses to agents seeking to solve bargaining problems.
机译:鲁宾斯坦等。 (Econometrica 60:1171-1186,1992)引入了序数纳什讨价还价解决方案。他们证明了帕累托最优性,序数不变性,序数对称性和IIA是该解决方案的特征。他们工作的一个特点是,注意力集中在具有无限基本分配的社会选择问题领域。我们引入一种替代方法,使用一种称为“序数平等”(OE)讨价还价解决方案的新概念来解决有限的社会选择问题。这表明作为结果的帕累托集的中等排名分配(或两个中等排名分配的彩票)。我们表明,OE解决方案的特点是可信度极低,顺序对称性和冗余替代方案的独立性。我们通过争论得出结论,使我们能够在这个问题上取得进展的是,对于有限选择集而言,计数指标是一种自然的,完全有序的方式,可以衡量寻求解决议价问题的代理商的得失。

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  • 来源
    《Social Choice and Welfare》 |2012年第1期|23-42|共20页
  • 作者

    John P. Conley; Simon Wilkie;

  • 作者单位

    Department of Economics Vanderbilt University Nashville TN 37235 USA;

    Department of Economics University of Southern California Los Angeles CA 90089 USA;

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  • 正文语种 eng
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