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Dominant Strategy Mechanisms with Multidimensional Types

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  • Hongwei Gui
  • Rudolf M¨uller
  • Rakesh V. Vohra

Abstract

This paper provides a characterization of dominant strategy mechanisms with quasi-linear utilities and multi-dimensional types for a variety of preference domains. These characterizations are in terms of a monotonicity property on the underlying allocation rule.

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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 1392.

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Date of creation: Jul 2004
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Handle: RePEc:nwu:cmsems:1392

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Postal: Center for Mathematical Studies in Economics and Management Science, Northwestern University, 580 Jacobs Center, 2001 Sheridan Road, Evanston, IL 60208-2014
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Web page: http://www.kellogg.northwestern.edu/research/math/
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Keywords: Dominant Strategy; Farkas Lemma; Combinatorial Auctions.;

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References

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  1. Sushil Bikhchandani & Shurojit Chatterjee & Arunava Sen, 2004. "Incentive Compatibility in Multi-unit Auctions," Levine's Bibliography 122247000000000750, UCLA Department of Economics.
  2. Jehiel, Phillipe & Moldovanu, Benny, 1998. "Efficient Design with Interdependent Valuations," Sonderforschungsbereich 504 Publications 98-22, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
  3. Vijay Krishna & Motty Perry, 1997. "Efficient Mechanism Design," Game Theory and Information, EconWPA 9703010, EconWPA, revised 28 Apr 1998.
  4. Rochet, Jean-Charles, 1987. "A necessary and sufficient condition for rationalizability in a quasi-linear context," Journal of Mathematical Economics, Elsevier, vol. 16(2), pages 191-200, April.
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Citations

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Cited by:
  1. Heydenreich, Birgit & Müller, Rudolf & Uetz, Marc & Vohra, Rakesh, 2008. "Characterization of Revenue Equivalence," Research Memorandum 001, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  2. Jehiel, Philippe & Moldovanu, Benny, 2006. "Allocative and Informational Externalities in Auctions and Related Mechanisms," CEPR Discussion Papers 5558, C.E.P.R. Discussion Papers.
  3. Philippe Jehiel & Moritz Meyer-ter-Vehn & Benny Moldovanu, 2008. "Ex-post implementation and preference aggregation via potentials," Economic Theory, Springer, vol. 37(3), pages 469-490, December.
  4. Jehiel, Philippe & Meyer-Ter-Vehn, Moritz & Moldovanu, Benny, 2006. "Mixed Bundling Auctions," CEPR Discussion Papers 5566, C.E.P.R. Discussion Papers.
  5. Katherine Cuff & Sunghoon Hong & Jesse Schwartz & Quan Wen & John Weymark, 2012. "Dominant strategy implementation with a convex product space of valuations," Social Choice and Welfare, Springer, vol. 39(2), pages 567-597, July.
  6. Muller, Rudolf & Perea, Andres & Wolf, Sascha, 2007. "Weak monotonicity and Bayes-Nash incentive compatibility," Games and Economic Behavior, Elsevier, vol. 61(2), pages 344-358, November.
  7. Heydenreich, Birgit & Müller, Rudolf & Uetz, Marc, 2006. "Games and Mechanism Design in Machine Scheduling – An Introduction," Research Memorandum 022, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  8. Mishra, Debasis & Roy, Souvik, 2013. "Implementation in multidimensional dichotomous domains," Theoretical Economics, Econometric Society, vol. 8(2), May.
  9. Debasis Mishra & Arunava Sen, 2010. "Roberts' theorem with neutrality: A Social welfare ordering approach," Indian Statistical Institute, Planning Unit, New Delhi Discussion Papers 10-03, Indian Statistical Institute, New Delhi, India.
  10. Debasis Mishra & Anup Pramanik & Souvik Roy, 2013. "Implementation in multidimensional domains with ordinal restrictions," Indian Statistical Institute, Planning Unit, New Delhi Discussion Papers 13-07, Indian Statistical Institute, New Delhi, India.
  11. Ron Lavi & Ahuva Mu’alem & Noam Nisan, 2009. "Two simplified proofs for Roberts’ theorem," Social Choice and Welfare, Springer, vol. 32(3), pages 407-423, March.
  12. Berger André & Müller Rudolf & Naeemi Seyed Hossein, 2010. "Path-Monotonicity and Incentive Compatibility," Research Memorandum 035, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).

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