Maximal domain for strategy-proof probabilistic rules in economies with one public good

نویسنده

  • Shuhei Morimoto
چکیده

We consider the problem of choosing a level of provision of public good on an interval of the real line among a group of agents. A probabilistic rule chooses a probability distribution over the interval to each preference profile. We investigate strategy-proof probabilistic rules in the case where distributions are compared based on stochastic dominance relation. 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-strategy-proof probabilistic rules that satisfy ontoness and the no-vetoer condition. We establish that the domain of “convex” preferences is the unique maximal domain for these properties.

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عنوان ژورنال:
  • Social Choice and Welfare

دوره 41  شماره 

صفحات  -

تاریخ انتشار 2013