Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/92833 
Year of Publication: 
2011
Series/Report no.: 
ISER Discussion Paper No. 823
Publisher: 
Osaka University, Institute of Social and Economic Research (ISER), Osaka
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-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 including a minimally rich domain for these properties.
Subjects: 
public good
probabilistic rule
stochastic dominance relation
strategy-proofness
minimally rich domain
maximal domain
JEL: 
D71
Document Type: 
Working Paper

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