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The replacement principle for the provision of multiple public goods on tree networks

机译:在树状网络上提供多种公共物品的替代原则

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摘要

This article considers the provision of two public goods on tree networks where each agent has a single-peaked preference. We show that if there are at least four agents, then no social choice rule exists that satisfies efficiency and replacement-domination. In fact, these properties are incompatible, even if agents’ preferences are restricted to a smaller domain of symmetric single-peaked preferences. However, for rules on an interval, we prove that Miyagawa’s (Soc Choice Welf 18:527–541, 2001) characterization that only the left-peaks rule and the right-peaks rule satisfy both of these properties also holds on the domain of symmetric single-peaked preferences. Moreover, if agents’ peak locations are restricted to either the nodes or the endpoints of trees, rules exist on a subclass of trees. We provide a characterization of a family of such rules for this tree subclass.
机译:本文考虑了在树状网络上提供两种公共物品的情况,其中每个代理都有一个单一的偏好。我们证明,如果至少有四个代理人,那么就不存在满足效率和替代支配性的社会选择规则。实际上,即使座席的首选项仅限于对称单峰首选项的较小域,这些属性也不兼容。但是,对于间隔规则,我们证明了宫川(Soc Choice Welf 18:527–541,2001)的表征,即只有左峰规则和右峰规则都满足这两个属性,并且在对称域上也成立单口说偏好。此外,如果座席的高峰位置仅限于树的节点或端点,则规则在树的子类上存在。我们为此树子类提供了此类规则族的特征。

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  • 来源
    《Social Choice and Welfare》 |2012年第2期|211-235|共25页
  • 作者

    Masashi Umezawa;

  • 作者单位

    Faculty of Business Administration Daito Bunka University 1-9-1 Takashimadaira Itabashi-ku Tokyo 175-8571 Japan;

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  • 正文语种 eng
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