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Maximal Domain for Strategy-proof Probabilistic Rules in Economies with One Public Good

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  • Shuhei Morimoto

Abstract

We consider the problem of choosing a level of a public good on an interval of the real line among a group of agents. A probabilistic rule chooses a probability distribution over the interval for each preference profile. We investigate strategy-proof probabilistic rules in the case where distributions are compared based on stochastic dominance relations. First, on a "minimally rich domain", we characterize the so-called probabilistic generalized median rules (Ehlers et al., 2002, Journal of Economic Theory 105: 408-434) by means of stochastic-dominance (sd) strategy-proofness and ontoness. Next, we study how much we can enlarge a domain to allow for the existence of sd-strategyproof probabilistic rules that satisfy ontoness and the no-vetoer condition. We establish that the domain of "convex" preferences is the unique maximal domain including a minimally rich domain for these properties.

Suggested Citation

  • Shuhei Morimoto, 2011. "Maximal Domain for Strategy-proof Probabilistic Rules in Economies with One Public Good," ISER Discussion Paper 0823, Institute of Social and Economic Research, Osaka University.
  • Handle: RePEc:dpr:wpaper:0823
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    File URL: http://www.iser.osaka-u.ac.jp/library/dp/2011/DP0823.pdf
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