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Implementation in multidimensional dichotomous domains

  • Mishra, Debasis

    ()

    (Economics and Planning Unit, Indian Statistical Institute)

  • Roy, Souvik

    ()

    (Economics and Planning Unit, Indian Statistical Institute)

We consider deterministic dominant strategy implementation in multidimensional dichotomous domains in private values and quasi-linear utility setting. In such multidimensional domains, an agent’s type is characterized by a single number, the value of the agent, and a non-empty set of acceptable alternatives. Each acceptable alternative gives the agent utility equal to his value and other alternatives give him zero utility. We identity a new condition, which we call generation monotonicity, that is necessary and sufficient for implementability in any dichotomous domain. If such a domain satisfies a richness condition, then a weaker version of generation monotonicity, which we call 2-generation monotonicity (equivalent to 3-cycle monotonicity), is necessary and sufficient for implementation. We use this result to derive the optimal mechanism in a one-sided matching problem with agents having dichotomous types.

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Article provided by Econometric Society in its journal Theoretical Economics.

Volume (Year): 8 (2013)
Issue (Month): 2 (May)
Pages:

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Handle: RePEc:the:publsh:1239
Contact details of provider: Web page: http://econtheory.org

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  1. Debasis Mishra & Souvik Roy, 2011. "Implementation in multidimensional dichotomous domains," Indian Statistical Institute, Planning Unit, New Delhi Discussion Papers 11-15, Indian Statistical Institute, New Delhi, India.
  2. Garud Iyengar & Anuj Kumar, 2008. "Optimal procurement mechanisms for divisible goods with capacitated suppliers," Review of Economic Design, Springer, vol. 12(2), pages 129-154, June.
  3. Juan Carlos Carbajal & Jeffrey C. Ely, 2012. "Mechanism Design Without Revenue Equivalence," Discussion Papers Series 458, School of Economics, University of Queensland, Australia.
  4. Müller Rudolf & Uetz Marc & Vohra Rakesh & Heydenreich Birgit, 2007. "Characterization of Revenue Equivalence," Research Memorandum 017, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  5. Alvin E. Roth & Tayfun Sonmez & M. Utku Unver, 2003. "Kidney Exchange," NBER Working Papers 10002, National Bureau of Economic Research, Inc.
  6. Babaioff, Moshe & Feldman, Michal & Nisan, Noam & Winter, Eyal, 2012. "Combinatorial agency," Journal of Economic Theory, Elsevier, vol. 147(3), pages 999-1034.
  7. Katherine Cuff & Sunghoon Hong & Jesse Schwartz & Quan Wen & John Weymark, 2011. "Dominant Strategy Implementation with a Convex Product Space of Valuations," Vanderbilt University Department of Economics Working Papers 1104, Vanderbilt University Department of Economics.
  8. Nenad Kos & Matthias Messner, 2010. "Extremal Incentive Compatible Transfers," Working Papers 359, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
  9. 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.
  10. Olszewski, Wojciech & Chung, Kim-Sau, 2007. "A non-differentiable approach to revenue equivalence," Theoretical Economics, Econometric Society, vol. 2(4), December.
  11. Hongwei Gui & Rudolf M¨uller & Rakesh V. Vohra, 2004. "Dominant Strategy Mechanisms with Multidimensional Types," Discussion Papers 1392, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  12. Blackorby, Charles & Dezsö Szalay, 2007. "Multidimensional Screening, Affiliation, and Full Separation," The Warwick Economics Research Paper Series (TWERPS) 802, University of Warwick, Department of Economics.
  13. 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).
  14. Sushil Bikhchandani & Shurojit Chatterji & Ron Lavi & Ahuva Mu'alem & Noam Nisan & Arunava Sen, 2006. "Weak Monotonicity Characterizes Deterministic Dominant-Strategy Implementation," Econometrica, Econometric Society, vol. 74(4), pages 1109-1132, 07.
  15. Marc Vorsatz, 2004. "Approval Voting ion Dichotomous Preferences," UFAE and IAE Working Papers 619.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  16. Armstrong, Mark, 1996. "Multiproduct Nonlinear Pricing," Econometrica, Econometric Society, vol. 64(1), pages 51-75, January.
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