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Efficient Auctions and Interdependent Types

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  • Dirk Bergemann
  • Stephen Morris
  • Satoru Takahashi

Abstract

We consider the efficient allocation of a single good with interdependent values in a quasi-linear environment. We present an approach to modeling interdependent preferences distinguishing between "payoff types" and "belief types" and report a characterization of when the efficient allocation can be partially Bayesian implemented on a finite type space. The characterization can be used to unify a number of sufficient conditions for efficient partial implementation in this classical auction setting. We report how a canonical language for discussing interdependent types - developed in a more general setting by Bergemann, Morris and Takahashi (2011) - applies in this setting and note by example that this canonical language will not allow us to distinguish some types in the payoff type - belief type language.

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Bibliographic Info

Article provided by American Economic Association in its journal American Economic Review.

Volume (Year): 102 (2012)
Issue (Month): 3 (May)
Pages: 319-24

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Handle: RePEc:aea:aecrev:v:102:y:2012:i:3:p:319-24

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  1. Dirk Bergemann & Stephen Morris & Satoru Takahashi, 2010. "Interdependent Preferences and Strategic Distinguishability," Cowles Foundation Discussion Papers 1772RR, Cowles Foundation for Research in Economics, Yale University, revised Jul 2014.
  2. Yi‐Chun Chen & Siyang Xiong, 2013. "Genericity and Robustness of Full Surplus Extraction," Econometrica, Econometric Society, vol. 81(2), pages 825-847, 03.
  3. Dirk Bergemann & Stephen Morris, 2005. "Robust Mechanism Design," NajEcon Working Paper Reviews 666156000000000593, www.najecon.org.
  4. 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.
  5. Aviad Heifetz & Zvika Neeman, 2004. "On the Generic (Im)possibility of Full Surplus Extraction in Mechanism Design," Discussion Paper Series dp350, The Center for the Study of Rationality, Hebrew University, Jerusalem.
  6. Neeman, Zvika, 2004. "The relevance of private information in mechanism design," Journal of Economic Theory, Elsevier, vol. 117(1), pages 55-77, July.
  7. Cremer, Jacques & McLean, Richard P, 1985. "Optimal Selling Strategies under Uncertainty for a Discriminating Monopolist When Demands Are Interdependent," Econometrica, Econometric Society, vol. 53(2), pages 345-61, March.
  8. 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.
  9. RICHARD McLEAN & ANDREW POSTLEWAITE, 2004. "Informational Size and Efficient Auctions," Review of Economic Studies, Wiley Blackwell, vol. 71, pages 809-827, 07.
  10. Abreu, Dilip & Matsushima, Hitoshi, 1992. "Virtual Implementation in Iteratively Undominated Strategies: Complete Information," Econometrica, Econometric Society, vol. 60(5), pages 993-1008, September.
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Cited by:
  1. Farinha Luz, Vitor, 2013. "Surplus extraction with rich type spaces," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2749-2762.

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