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Ex post implementation in environments with private goods

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  • ,

    (University of California, Los Angeless)

Abstract

We prove by construction that ex post incentive compatible mechanisms exist in a private goods setting with multi-dimensional signals and interdependent values. The mechanism shares features with the generalized Vickrey auction of one-dimensional signal models. The construction implies that for environments with private goods, informational externalities (i.e., interdependent values) are compatible with ex post equilibrium in the presence of multi-dimensional signals.

Suggested Citation

  • ,, 2006. "Ex post implementation in environments with private goods," Theoretical Economics, Econometric Society, vol. 1(3), pages 369-393, September.
  • Handle: RePEc:the:publsh:182
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    File URL: http://econtheory.org/ojs/index.php/te/article/viewFile/20060369/794/33
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    Citations

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    Cited by:

    1. Dirk Bergemann & Stephen Morris, 2012. "Robust Implementation in Direct Mechanisms," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 4, pages 153-194, World Scientific Publishing Co. Pte. Ltd..
    2. Dirk Bergemann & Stephen Morris, 2012. "Robust Mechanism Design: An Introduction," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 1, pages 1-48, World Scientific Publishing Co. Pte. Ltd..
    3. Vlad Mares & Mikhael Shor, 2013. "Information concentration in common value environments," Review of Economic Design, Springer;Society for Economic Design, vol. 17(3), pages 183-203, September.
    4. Moritz Meyer-ter-Vehn & Stephen Morris, 2012. "The Robustness of Robust Implementation," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 10, pages 357-373, World Scientific Publishing Co. Pte. Ltd..
    5. Dirk Bergemann & Stephen Morris, 2012. "Ex Post Implementation," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 3, pages 97-152, World Scientific Publishing Co. Pte. Ltd..
    6. Che, Yeon-Koo & Kim, Jinwoo & Kojima, Fuhito, 2015. "Efficient assignment with interdependent values," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 54-86.
    7. 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.
    8. Fujinaka, Yuji & Miyakawa, Toshiji, 2020. "Ex-post incentive compatible and individually rational assignments in housing markets with interdependent values," Journal of Mathematical Economics, Elsevier, vol. 91(C), pages 157-164.
    9. Yu Chen & Zhenhua Wu, 2012. "Delegation Principle for Multi-agency Games under Ex Post Equilibrium," CAEPR Working Papers 2012-008, Center for Applied Economics and Policy Research, Department of Economics, Indiana University Bloomington.
    10. Jehiel, Philippe & Meyer-ter-Vehn, Moritz & Moldovanu, Benny & Zame, William R., 2007. "Posterior implementation vs ex-post implementation," Economics Letters, Elsevier, vol. 97(1), pages 70-73, October.
    11. Parikshit De & Manipushpak Mitra, 2017. "Incentives and justice for sequencing problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(2), pages 239-264, August.
    12. Carbajal, Juan Carlos & Müller, Rudolf, 2015. "Implementability under monotonic transformations in differences," Journal of Economic Theory, Elsevier, vol. 160(C), pages 114-131.
    13. Tan, Xu, 2016. "Information revelation in auctions with common and private values," Games and Economic Behavior, Elsevier, vol. 97(C), pages 147-165.
    14. Alejandro Francetich, 2013. "Becoming the Neighbor Bidder: Endogenous Winner’s Curse in Dynamic Mechanisms," Working Papers 501, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    15. Hashimoto, Tadashi, 2018. "The generalized random priority mechanism with budgets," Journal of Economic Theory, Elsevier, vol. 177(C), pages 708-733.
    16. Debasis Mishra & Abdul Quadir, 2012. "Deterministic single object auctions with private values," Discussion Papers 12-06, Indian Statistical Institute, Delhi.
    17. Frédéric Koessler & Eduardo Perez-Richet, 2019. "Evidence reading mechanisms," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(3), pages 375-397, October.
    18. Dizdar, Deniz & Moldovanu, Benny, 2016. "On the importance of uniform sharing rules for efficient matching," Journal of Economic Theory, Elsevier, vol. 165(C), pages 106-123.
    19. M. Yenmez, 2015. "Incentive compatible market design with applications," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(3), pages 543-569, August.
    20. Müller, Christoph, 2016. "Robust virtual implementation under common strong belief in rationality," Journal of Economic Theory, Elsevier, vol. 162(C), pages 407-450.
    21. Baisa, Brian, 2020. "Efficient multi-unit auctions for normal goods," Theoretical Economics, Econometric Society, vol. 15(1), January.
    22. repec:inu:caeprp:2012-008 is not listed on IDEAS
    23. Alejandro Francetich, 2015. "Becoming the Neighbor Bidder: Endogenous Winner's Curse in Dynamic Mechanisms," American Economic Journal: Microeconomics, American Economic Association, vol. 7(2), pages 45-76, May.

    More about this item

    Keywords

    Ex post incentive compatibility; multi-dimensional information; interdependent values;
    All these keywords.

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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