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A general characterization of interim efficient mechanisms for independent linear environments

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  • Ledyard, John
  • Palfrey, Thomas

Abstract

We consider the class of Bayesian environments with independent types, and utility functions which are both quasi-linear in a private good and linear in a one-dimensional private-value type parameter. We call these "independent linear environments". For these environments, we fully characterize interim efficient allocation rules which satisfy interim incentive compatibility and interim individual rationality constraints. We also prove that they correspond to decision rules based on virtual surplus maximization, together with the appropriate incentive taxes. We demonstrate how these techniques can be applied easily to the design of auctions, markets, bargaining rules, public good provision, and assignment problems.

Suggested Citation

  • Ledyard, John & Palfrey, Thomas, 2003. "A general characterization of interim efficient mechanisms for independent linear environments," Working Papers 1186, California Institute of Technology, Division of the Humanities and Social Sciences.
    • Handle: RePEc:clt:sswopa:1186
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    2. Ludwig Ensthaler & Thomas Giebe & Jianpei Li, 2014. "Speculative partnership dissolution with auctions," Review of Economic Design, Springer;Society for Economic Design, vol. 18(2), pages 127-150, June.
    3. Ellman, Matthew & Hurkens, Sjaak, 2019. "Optimal crowdfunding design," Journal of Economic Theory, Elsevier, vol. 184(C).
    4. Serkan Kucuksenel, 2012. "Interim efficient auctions with interdependent valuations," Journal of Economics, Springer, vol. 106(1), pages 83-93, May.
    5. Hanming Fang & Peter Norman, 2010. "Optimal Provision of Multiple Excludable Public Goods," American Economic Journal: Microeconomics, American Economic Association, vol. 2(4), pages 1-37, November.
    6. Schmitz, Patrick W., 2021. "Optimal ownership of public goods under asymmetric information," Journal of Public Economics, Elsevier, vol. 198(C).
    7. Nishimura, Takeshi, 2022. "Informed principal problems in bilateral trading," Journal of Economic Theory, Elsevier, vol. 204(C).
    8. Chakravarty, Surajeet & Kaplan, Todd R., 2013. "Optimal allocation without transfer payments," Games and Economic Behavior, Elsevier, vol. 77(1), pages 1-20.
    9. Kim, Jin Yeub, 2017. "Interim third-party selection in bargaining," Games and Economic Behavior, Elsevier, vol. 102(C), pages 645-665.
    10. Jin Yeub Kim, 2022. "Neutral public good mechanisms," PLOS ONE, Public Library of Science, vol. 17(4), pages 1-16, April.
    11. Kopányi-Peuker, Anita & Offerman, Theo & Sloof, Randolph, 2017. "Fostering cooperation through the enhancement of own vulnerability," Games and Economic Behavior, Elsevier, vol. 101(C), pages 273-290.
    12. Barbieri, Stefano & Malueg, David A., 2010. "Threshold uncertainty in the private-information subscription game," Journal of Public Economics, Elsevier, vol. 94(11-12), pages 848-861, December.
    13. Loertscher, Simon & Marx, Leslie M., 2017. "Club good intermediaries," International Journal of Industrial Organization, Elsevier, vol. 50(C), pages 430-459.
    14. Murat Yilmaz, 2010. "Auctioning a Discrete Public Good under Incomplete Information," Working Papers 2010/14, Bogazici University, Department of Economics.
    15. Korpela, Ville & Lombardi, Michele, 2020. "Closure under interim utility equivalence implies two-agent Bayesian implementation," Games and Economic Behavior, Elsevier, vol. 121(C), pages 108-116.
    16. Jin Yeub Kim, 2019. "Neutral Public Good Mechanisms," Working papers 2019rwp-159, Yonsei University, Yonsei Economics Research Institute.
    17. Altınok, Ahmet & Yılmaz, Murat, 2018. "Dynamic voluntary contribution to a public project under time inconsistency," Journal of Economic Behavior & Organization, Elsevier, vol. 145(C), pages 114-140.
    18. Mingshi Kang & Charles Z. Zheng, 2023. "Optimal design for redistributions among endogenous buyers and sellers," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(4), pages 1141-1180, May.

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