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Robust Implementation in Direct Mechanisms

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  • Dirk Bergemann
  • Stephen Morris

Abstract

A social choice function is robustly implementable if there is a mechanism under which the process of iteratively eliminating strictly dominated messages leads to outcomes that agree with the social choice function for all beliefs at every type profile. In an interdependent value envi­ronment with single crossing preferences, we identify a contraction property on the preferences which together with strict ex post incentive compatibility is sufficient to guarantee robust imple­mentation in the direct mechanism. Strict ex post incentive compatibility and the contraction property are also necessary for robust implementation in any mechanism, including indirect ones. The contraction property requires that the interdependence is not too large. In a linear signal model, the contraction property is equivalent to an interdependence matrix having all eigenvalues smaller than one.

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Paper provided by David K. Levine in its series Levine's Working Paper Archive with number 814577000000000109.

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Date of creation: 04 Feb 2009
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Handle: RePEc:cla:levarc:814577000000000109

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References

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  1. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-50, July.
  2. Han Hong & Matthew Shum, 2001. "Econometric Models of Asymmetric Ascending Auctions," Economics Working Paper Archive 453, The Johns Hopkins University,Department of Economics.
  3. Stephen Morris & Dirk Bergemann, 2007. "An Ascending Auction for Interdependent Values: Uniqueness and Robustness to Strategic Uncertainty," American Economic Review, American Economic Association, vol. 97(2), pages 125-130, May.
  4. Dirk Bergemann & Juuso Vaimaki, 2000. "Information Acquisition and Efficient Mechanism Design," Cowles Foundation Discussion Papers 1248, Cowles Foundation for Research in Economics, Yale University.
  5. D. B. Bernheim, 2010. "Rationalizable Strategic Behavior," Levine's Working Paper Archive 514, David K. Levine.
  6. Fieseler, Karsten & Kittsteiner, Thomas & Moldovanu, Benny, 1999. "Partnerships, Lemons and Efficient Trade," Sonderforschungsbereich 504 Publications 99-71, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim.
  7. Kim-Sau Chung & Jeffrey C. Ely, 2000. "Efficient and Dominance Solvable Auctions with Interdependent Valuations," Discussion Papers 1313, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  8. Philippe Jehiel & Moritz Meyer-ter-Vehn & Benny Moldovanu & William R. Zame, 2005. "The Limits of Ex-Post Implementation," Levine's Bibliography 666156000000000548, UCLA Department of Economics.
  9. Dirk Bergemann & Stephen Morris, 2008. "The Role of the Common Prior in Robust Implementation," Journal of the European Economic Association, MIT Press, vol. 6(2-3), pages 551-559, 04-05.
  10. Piketty, Thomas, 1999. "The information-aggregation approach to political institutions," European Economic Review, Elsevier, vol. 43(4-6), pages 791-800, April.
  11. Gresik, Thomas A., 1991. "Ex ante incentive efficient trading mechanisms without the private valuation restriction," Journal of Economic Theory, Elsevier, vol. 55(1), pages 41-63, October.
  12. Partha Dasgupta & Eric Maskin, 2000. "Efficient Auctions," The Quarterly Journal of Economics, MIT Press, vol. 115(2), pages 341-388, May.
  13. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-77, November.
  14. Battigalli Pierpaolo & Siniscalchi Marciano, 2003. "Rationalization and Incomplete Information," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 3(1), pages 1-46, June.
  15. Dirk Bergemann & Stephen Morris, 2007. "Strategic Distinguishability and Robust Virtual Implementation," Cowles Foundation Discussion Papers 1609R, Cowles Foundation for Research in Economics, Yale University, revised Apr 2008.
  16. Dirk Bergemann & Stephen Morris, 2007. "Ascending Auction: Uniqueness and Robustness to Strategic Uncertainty," Levine's Bibliography 321307000000000845, UCLA Department of Economics.
  17. Jackson, Matthew O, 1991. "Bayesian Implementation," Econometrica, Econometric Society, vol. 59(2), pages 461-77, March.
  18. Glazer, Jacob & Rosenthal, Robert W, 1992. "A Note on Abreu-Matsushima Mechanisms," Econometrica, Econometric Society, vol. 60(6), pages 1435-38, November.
  19. Brandenburger, Adam & Dekel, Eddie, 1987. "Rationalizability and Correlated Equilibria," Econometrica, Econometric Society, vol. 55(6), pages 1391-1402, November.
  20. Weinstein, Jonathan & Yildiz, Muhamet, 2007. "Impact of higher-order uncertainty," Games and Economic Behavior, Elsevier, vol. 60(1), pages 200-212, July.
  21. Palfrey, Thomas R & Srivastava, Sanjay, 1989. "Implementation with Incomplete Information in Exchange Economies," Econometrica, Econometric Society, vol. 57(1), pages 115-34, January.
  22. Postlewaite, Andrew & Schmeidler, David, 1986. "Implementation in differential information economies," Journal of Economic Theory, Elsevier, vol. 39(1), pages 14-33, June.
  23. Dirk Bergemann & Stephen Morris, 2005. "Robust Implementation: The Role of Large Type Spaces," Levine's Bibliography 784828000000000116, UCLA Department of Economics.
  24. Bikhchandani, Sushil, 2006. "Ex post implementation in environments with private goods," Theoretical Economics, Econometric Society, vol. 1(3), pages 369-393, September.
  25. repec:wop:humbsf:2000-72 is not listed on IDEAS
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Cited by:
  1. Diego Moreno & María Moscoso, 2013. "Strategy-proof allocation mechanisms for economies with public goods," Economic Theory, Springer, vol. 52(1), pages 315-336, January.
  2. Carrasco, Vinicius & Salgado, Pablo, 2014. "Coordinated strategic defaults and financial fragility in a costly state verification model," Journal of Financial Intermediation, Elsevier, vol. 23(1), pages 129-139.
  3. Tomala, Tristan & Renou, Ludovic, 2010. "Mechanism design and communication networks," Les Cahiers de Recherche 926, HEC Paris.
  4. Felix Bierbrauer & Martin Hellwig, 2011. "Mechanism Design and Voting for Public-Good Provision," Working Paper Series of the Max Planck Institute for Research on Collective Goods 2011_31, Max Planck Institute for Research on Collective Goods.
  5. Di Tillio, Alfredo, 2011. "A robustness result for rationalizable implementation," Games and Economic Behavior, Elsevier, vol. 72(1), pages 301-305, May.
  6. Mathevet, Laurent & Taneva, Ina, 2013. "Finite supermodular design with interdependent valuations," Games and Economic Behavior, Elsevier, vol. 82(C), pages 327-349.
  7. Beard, Rodney & Mallawaarachchi, Thilak, 2011. "Are international environmental agreements stable ex-post?," MPRA Paper 34303, University Library of Munich, Germany.
  8. Bergemann, Dirk & Morris, Stephen, 2011. "Robust implementation in general mechanisms," Games and Economic Behavior, Elsevier, vol. 71(2), pages 261-281, March.
  9. Yi-Chun Chen & Alfredo Di Tillio & Eduardo Faingold & Siyang Xiong, 2012. "The Strategic Impact of Higher-Order Beliefs," Cowles Foundation Discussion Papers 1875, Cowles Foundation for Research in Economics, Yale University.
  10. Jehiel, Philippe & Meyer-ter-Vehn, Moritz & Moldovanu, Benny, 2012. "Locally robust implementation and its limits," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2439-2452.
  11. Kyungmin Kim & Antonio Penta, 2012. "A Robustly Efficient Auction," Carlo Alberto Notebooks 248, Collegio Carlo Alberto.
  12. Meyer-ter-Vehn, Moritz & Morris, Stephen, 2011. "The robustness of robust implementation," Journal of Economic Theory, Elsevier, vol. 146(5), pages 2093-2104, September.

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