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      A non-cooperative support for equal division in estate division problems

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      Author
      Ashlagi, I.
      Karagözoǧlu, E.
      Klaus, B.
      Date
      2012
      Source Title
      Mathematical Social Sciences
      Print ISSN
      0165-4896
      Publisher
      Elsevier BV
      Volume
      63
      Issue
      3
      Pages
      228 - 233
      Language
      English
      Type
      Article
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      Abstract
      We consider estate division problems and show that for any claim game based on a (estate division) rule satisfying efficiency, equal treatment of equals, and order preservation of awards, all (pure strategy) Nash equilibria induce equal division. Next, we consider (estate division) rules satisfying efficiency, equal treatment of equals, and claims monotonicity. Then, for claim games with at most three agents, again all Nash equilibria induce equal division. Surprisingly, this result does not extend to claim games with more than three agents. However, if nonbossiness is added, then equal division is restored. © 2012 .
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      http://hdl.handle.net/11693/21487
      Published Version (Please cite this version)
      http://dx.doi.org/10.1016/j.mathsocsci.2012.01.004
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