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Bribe-proof Rules in the Division Problem

The division problem consists of allocating an amount of a perfectly divisible good among a group of n agents with single-peaked preferences. A rule maps preference profiles into n shares of the amount to be allocated. A rule is bribe-proof if no group of agents can compensate another agent to misrepresent his preference and, after an appropriate redistribution of their shares, each obtain a strictly preferred share. We characterize all bribe-proof rules as the class of efficient, strategy-proof, and weak replacement monotonic rules. In addition, we identify the functional form of all bribe-proof and tops-only rules.

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Paper provided by Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC) in its series UFAE and IAE Working Papers with number 571.03.

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Length: 21
Date of creation: 07 May 2003
Date of revision:
Handle: RePEc:aub:autbar:571.03
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  1. Schummer, James & Thomson, William, 1997. "Two derivations of the uniform rule and an application to bankruptcy," Economics Letters, Elsevier, vol. 55(3), pages 333-337, September.
  2. Fiestras-Janeiro, Gloria & Klijn, Flip & Sanchez, Estela, 2004. "Manipulation of optimal matchings via predonation of endowment," Mathematical Social Sciences, Elsevier, vol. 47(3), pages 295-312, May.
  3. James Schummer, 1997. "Manipulation Through Bribes," Discussion Papers 1207, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  4. Barbera, Salvador & Jackson, Matthew O. & Neme, Alejandro, 1997. "Strategy-Proof Allotment Rules," Games and Economic Behavior, Elsevier, vol. 18(1), pages 1-21, January.
  5. Yves Sprumont, 1995. "Strategyproof Collective Choice in Economic and Political Environments," Canadian Journal of Economics, Canadian Economics Association, vol. 28(1), pages 68-107, February.
  6. Salvador Barberà, 2001. "An introduction to strategy-proof social choice functions," Social Choice and Welfare, Springer, vol. 18(4), pages 619-653.
  7. Peter Eso & James Schummer, 2002. "Bribing and Signalling in Second Price Auctions," Discussion Papers 1357, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  8. Jordi MassóAuthor-Email: jordi.masso@uab.es & Alejandro Neme, 2003. "Bribe-proof Rules in the Division Problem," UFAE and IAE Working Papers 571.03, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  9. Sprumont, Yves, 1991. "The Division Problem with Single-Peaked Preferences: A Characterization of the Uniform Allocation Rule," Econometrica, Econometric Society, vol. 59(2), pages 509-19, March.
  10. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
  11. Ching, Stephen, 1992. "A simple characterization of the uniform rule," Economics Letters, Elsevier, vol. 40(1), pages 57-60, September.
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