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A Note on Thomson's Characterizations of the Uniform Rule

Thomson (Consistent solutions to the problem of fair division when preferences are single-peaked, J. Econ. Theory 63 (1994), 219-245) proved that the uniform rule of fair division problem, where preferences are single-peaked, is the unique rule which is bilaterally consistent, continuous, Pareto optimal, and envy-free, in a setting of an infinite number of potential agents. We show that the uniqueness of the uniform rule is achieved without assuming continuity, even in a setting of a finite number of potential agents. A similar result is obtained by replacing envy-freeness with individual rationality from equal division.

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Paper provided by Nir Dagan in its series Economic theory and game theory with number 003.

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Length: 7 pages
Date of creation: 1996
Date of revision:
Publication status: Published in Journal of Economic Theory 69:255-261 (1996)
Handle: RePEc:nid:ndagan:003
Contact details of provider: Postal: Nir Dagan, Dept. of Economics and Management, Tel-Hai Academic College, Upper Galilee, Israel.
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