A Limit Theorem on the Minmax Set

Gabrielle Demange

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Abstract: It is well known that a Condorcet winner may not exist over a multidimensional space. We are concerned in this paper with an extension of the Condorcet's rule: the minmax set. This set, always non-empty, coincides with the set of majority winners whenever they exist. Unfortunately, it may be very large in finite society. We establish that it shrinks to a single point when the population increases smoothly enough under suitable assumptions of single peakedness and intermediate preferences.

Keywords: multidimensional space; minmax set; extension; Condorcet's rule (search for similar items in EconPapers)
Date: 1982-01
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Citations: View citations in EconPapers (3)

Published in Journal of Mathematical Economics, 1982, 9 (1-2), pp.145-164

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-00671000

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