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Efficient Auctions and Interdependent Types

  • Dirk Bergemann
  • Stephen Morris
  • Satoru Takahashi

We consider the efficient allocation of a single good with interdependent values in a quasi-linear environment. We present an approach to modelling 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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Paper provided by David K. Levine in its series Levine's Working Paper Archive with number 786969000000000427.

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Date of creation: 13 Apr 2012
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Handle: RePEc:cla:levarc:786969000000000427
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  1. Stephen Morris & Dirk Bergemann, 2004. "Robust Mechanism Design," Yale School of Management Working Papers ysm380, Yale School of Management.
  2. Aviad Heifetz & Zvika Neeman, 2004. "On the Generic (Im)possibility of Full Surplus Extraction in Mechanism Design," Discussion Paper Series dp350, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
  3. Richard McLean & Andrew Postlewaite, 2004. "Informational Size and Efficient Auctions," Review of Economic Studies, Oxford University Press, vol. 71(3), pages 809-827.
  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. 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.
  6. Abreu, Dilip & Matsushima, Hitoshi, 1992. "Virtual Implementation in Iteratively Undominated Strategies: Complete Information," Econometrica, Econometric Society, vol. 60(5), pages 993-1008, September.
  7. Neeman, Z., 1998. "The Relevance of Private Infromation in Mechanism Design," Papers 93, Boston University - Department of Economics.
  8. Dirk Bergemann & Stephen Morris & Satoru Takahashi, 2010. "Interdependent Preferences and Strategic Distinguishability," Levine's Working Paper Archive 661465000000000273, David K. Levine.
  9. Yi‐Chun Chen & Siyang Xiong, 2013. "Genericity and Robustness of Full Surplus Extraction," Econometrica, Econometric Society, vol. 81(2), pages 825-847, 03.
  10. Richard McLean & Andrew Postlewaite, 2004. "Informational Size and Efficient Auctions," Review of Economic Studies, Oxford University Press, vol. 71(3), pages 809-827.
  11. 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.
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