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Manipulation Through Bribes

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  • James Schummer

Abstract

We consider allocation rules that choose both a public outcome and transfers, based on the agents' reported valuations of the outcomes. Under a given allocation rule, a bribing situation exists when one agent could pay another to misreport his valuations, resulting in a net gain to both agents. A rule is bribe-proof if such opportunities never arise (including the case in which the briber and bribee are the same agent). The central result is that under a bribe-proof rule, regardless of the domain of admissible valuations, the payoff to any one agent is a continuous function of any other agent's reported valuations. We then show that on connected domains of valuation functions, if either the set of outcomes is finite or each agent's set of admissible valuations is smoothly connected, then an agent's payoff is a constant function of other agents' reported valuations. Finally, under the additional assumption of a standard richness condition on the set of admissible valuations, a bribe-proof rule must be a constant function.

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Bibliographic Info

Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1207.

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Date of creation: Jun 1997
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Handle: RePEc:nwu:cmsems:1207

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  1. Barbera, Salvador & Jackson, Matthew O, 1995. "Strategy-Proof Exchange," Econometrica, Econometric Society, vol. 63(1), pages 51-87, January.
  2. Schummer, James, 2000. "Eliciting Preferences to Assign Positions and Compensation," Games and Economic Behavior, Elsevier, vol. 30(2), pages 293-318, February.
  3. Green, Jerry & Laffont, Jean-Jacques, 1977. "Characterization of Satisfactory Mechanisms for the Revelation of Preferences for Public Goods," Econometrica, Econometric Society, vol. 45(2), pages 427-38, March.
  4. Green, Jerry & Laffont, Jean-Jacques, 1979. "On Coalition Incentive Compatibility," Review of Economic Studies, Wiley Blackwell, vol. 46(2), pages 243-54, April.
  5. Cremer, Jacques, 1996. "Manipulations by Coalitions Under Asymmetric Information: The Case of Groves Mechanisms," Games and Economic Behavior, Elsevier, vol. 13(1), pages 39-73, March.
  6. G. Chichilnisky & G. M. Heal, 1997. "The geometry of implementation: a necessary and sufficient condition for straightforward games (*)," Social Choice and Welfare, Springer, vol. 14(2), pages 259-294.
  7. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-31, July.
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Cited by:
  1. Eso, Peter & Schummer, James, 2004. "Bribing and signaling in second price auctions," Games and Economic Behavior, Elsevier, vol. 47(2), pages 299-324, May.
  2. Yuji Fujinaka & Takuma Wakayama, 2007. "Secure Implementation in Economies with Indivisible Objects and Money," ISER Discussion Paper 0699, Institute of Social and Economic Research, Osaka University.
  3. Shigehiro Serizawa, 2006. "Pairwise Strategy-Proofness and Self-Enforcing Manipulation," Social Choice and Welfare, Springer, vol. 26(2), pages 305-331, April.
  4. 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.
  5. Sertel, Murat R. & Ozkal-Sanver, Ipek, 2002. "Manipulability of the men- (women-) optimal matching rule via endowments," Mathematical Social Sciences, Elsevier, vol. 44(1), pages 65-83, September.
  6. Masso, Jordi & Neme, Alejandro, 2007. "Bribe-proof rules in the division problem," Games and Economic Behavior, Elsevier, vol. 61(2), pages 331-343, November.
  7. Mizukami, Hideki & Wakayama, Takuma, 2009. "The relation between non-bossiness and monotonicity," Mathematical Social Sciences, Elsevier, vol. 58(2), pages 256-264, September.
  8. Salvador Barberà, 2010. "Strategy-proof social choice," Working Papers 420, Barcelona Graduate School of Economics.

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