Hierarchy of Players in Swap Robust Voting Games

Monisankar Bishnu and Sonali Roy ()

Staff General Research Papers Archive from Iowa State University, Department of Economics

Abstract: Ordinarily, the process of decision making by a committee through voting is modelled by a monotonic game the range of whose characteristic function is restricted to {0,1}. The decision rule that governs the collective action of a voting body induces a hierarchy in the set of players in terms of the a-priori influence that the players have over the decision making process. In order to determine this hierarchy in a swap robust game, one has to either evaluate a number-based power index (e.g., the Shapley-Shubik index, the Banzhaf-Coleman index) for each player or conduct a pairwise comparison between players in order to find out whether there exists a coalition in which player i is desirable over another player j as a coalition partner. In this paper we outline a much simpler and more elegant mechanism to determine the ranking of players in terms of their a-priori power using only minimal winning coalitions, rather than the entire set of winning coalitions.

Keywords: simple game; swap robust game; desirability; weak desirability; lexicographic ordering (search for similar items in EconPapers)
JEL-codes: C71 D71 (search for similar items in EconPapers)
Date: 2009-09-30
New Economics Papers: this item is included in nep-cdm, nep-gth and nep-pol
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Forthcoming in Social Choice and Welfare

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http://www2.econ.iastate.edu/papers/p3894-2009-10-01.pdf (application/pdf)

Related works:
Journal Article: Hierarchy of players in swap robust voting games (2012)
Working Paper: Hierarchy of players in swap robust voting games (2012)
Working Paper: Hierarchy of players in swap robust voting games (2009)
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Persistent link: https://EconPapers.repec.org/RePEc:isu:genres:13118

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