Implementation in multidimensional domains with ordinal restrictions
We consider implementation of a deterministic allocation rule using transfers in quasi-linear private values environments. We show that if the type space is a multidimensional domain satisfying some ordinal restrictions, then an allocation rule is implementable in such a domain if and only if it satisfies a familiar and simple condition called 2-cycle monotonicity. Our ordinal restrictions cover type spaces which are non-convex, e.g., the single peaked domain and its generalizations. We apply our result to show that in the single peaked domain, a local version of 2-cycle monotonicity is necessary and sufficient for implementation and every locally incentive compatible mechanism is incentive compatible.
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- Olszewski, Wojciech & Chung, Kim-Sau, 2007. "A non-differentiable approach to revenue equivalence," Theoretical Economics, Econometric Society, vol. 2(4), December.
- Krishna, Vijay & Maenner, Eliot, 2001. "Convex Potentials with an Application to Mechanism Design," Econometrica, Econometric Society, vol. 69(4), pages 1113-19, July.
- Kos, Nenad & Messner, Matthias, 2013.
"Extremal incentive compatible transfers,"
Journal of Economic Theory,
Elsevier, vol. 148(1), pages 134-164.
- Shurojit Chatterji & Remzi Sanver & Arunava Sen, 2010. "On Domains That Admit Well-behaved Strategy-proof Social Choice Functions," Working Papers 07-2010, Singapore Management University, School of Economics.
- Mishra, Debasis & Roy, Souvik, 2013.
"Implementation in multidimensional dichotomous domains,"
Econometric Society, vol. 8(2), May.
- 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.
- Jehiel, Phillipe & Moldovanu, Benny & Stacchetti, E., 1997.
"Multidimensional Mechanism Design for Auctions with Externalities,"
Sonderforschungsbereich 504 Publications
97-04, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
- Jehiel, Philippe & Moldovanu, Benny & Stacchetti, Ennio, 1999. "Multidimensional Mechanism Design for Auctions with Externalities," Journal of Economic Theory, Elsevier, vol. 85(2), pages 258-293, April.
- 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.
- Carbajal, Juan Carlos & Ely, Jeffrey C., 2013. "Mechanism design without revenue equivalence," Journal of Economic Theory, Elsevier, vol. 148(1), pages 104-133.
- Lavi, Ron & Swamy, Chaitanya, 2009. "Truthful mechanism design for multidimensional scheduling via cycle monotonicity," Games and Economic Behavior, Elsevier, vol. 67(1), pages 99-124, September.
- 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.
- 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.
- Carbajal, Juan Carlos, 2010. "On the uniqueness of Groves mechanisms and the payoff equivalence principle," Games and Economic Behavior, Elsevier, vol. 68(2), pages 763-772, March.
- John A. Weymark, 2008.
"Strategy-Proofness and the Tops-Only Property,"
Journal of Public Economic Theory,
Association for Public Economic Theory, vol. 10(1), pages 7-26, 02.
- John A. Weymark, 2004. "Strategy-Proofness and the Tops-Only Property," Vanderbilt University Department of Economics Working Papers 0409, Vanderbilt University Department of Economics, revised Sep 2006.
- Chatterji, Shurojit & Sanver, Remzi & Sen, Arunava, 2013. "On domains that admit well-behaved strategy-proof social choice functions," Journal of Economic Theory, Elsevier, vol. 148(3), pages 1050-1073.
- Gui Hongwei & Müller Rudolf & Vohra Rakesh, 2004.
"Dominant Strategy Mechanisms with Multidimensional Types,"
047, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- 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.
- Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
- 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.
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