Maximal Domain for Strategy-proof Rules in Allotment Economies |
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Authors: | Hideyuki Mizobuchi Shigehiro Serizawa |
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Institution: | (1) Department of Economics, University of British Columbia, Vancouver, BC, Canada, V6T 1Z1;(2) Institute of Social and Economic Research, Osaka University, 6-1, Mihogaoka, Ibaraki, Osaka 567-0047, Japan |
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Abstract: | We consider the problem of allocating an amount of a perfectly divisible good among a group of n agents. We study how large a preference domain can be to allow for the existence of strategy-proof, symmetric and efficient allocation rules when the amount of the good is a variable. This question is qualified by an additional requirement that a domain should include a minimally rich domain. We first characterize the uniform rule (Bennasy in The economics of market disequilibrium, Academic, New York, 1982) as the unique strategy-proof, symmetric, and efficient rule on a minimally rich domain when the amount of the good is fixed. Then, exploiting this characterization, we establish the following: there is a unique maximal domain that includes a minimally rich domain and allows for the existence of strategy-proof, symmetric, and efficient rules when the amount of good is a variable. It is the single-plateaueddomain. |
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