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Principal-agent VCG contracts

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  • Lavi, Ron
  • Shamash, Elisheva S.

Abstract

We study a complete information game with multiple principals and multiple common agents. Each agent takes an action that can affect the payoffs of all principals. Prat and Rustichini (2003) who introduce this model assume classic contracts: each principal offers monetary transfers to each agent conditional on the action taken by the agent. We define VCG contracts in which the monetary transfers to each agent additionally depend on all principals' offers, and study its effect on the existence of efficient pure subgame perfect equilibrium outcomes. Using a necessary and sufficient condition for the existence of a pure subgame perfect equilibrium (pure SPE) with VCG contracts, which we develop, we show that the class of instances that admit an efficient pure SPE with VCG contracts strictly contains the class of instances that admit an efficient pure SPE with classic contracts. In addition, the difference between the former class and the class of instances that admit a ‘weakly truthful’ SPE with classic contracts has positive measure. Although VCG contracts broaden the existence of pure subgame perfect equilibria, we show that the worst case welfare loss in a pure SPE outcome, over all games with any fixed M≥2 number of principals, is the same for both VCG contracts and classic contracts.

Suggested Citation

  • Lavi, Ron & Shamash, Elisheva S., 2022. "Principal-agent VCG contracts," Journal of Economic Theory, Elsevier, vol. 201(C).
    • Handle: RePEc:eee:jetheo:v:201:y:2022:i:c:s0022053122000333
    DOI: 10.1016/j.jet.2022.105443
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    References listed on IDEAS

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    1. Han, Seungjin, 2015. "Robust competitive auctions," Economics Letters, Elsevier, vol. 136(C), pages 207-210.
    2. B. Douglas Bernheim & Michael D. Whinston, 1986. "Menu Auctions, Resource Allocation, and Economic Influence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(1), pages 1-31.
    3. Michael Peters, 1997. "A Competitive Distribution of Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 64(1), pages 97-123.
    4. Michael Peters, 2014. "Competing mechanisms," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 47(2), pages 373-397, May.
    5. Bikhchandani, Sushil, 1999. "Auctions of Heterogeneous Objects," Games and Economic Behavior, Elsevier, vol. 26(2), pages 193-220, January.
    6. Andrea Prat & Aldo Rustichini, 2003. "Games Played Through Agents," Econometrica, Econometric Society, vol. 71(4), pages 989-1026, July.
    7. Michael Peters, 2014. "Competing mechanisms," Canadian Journal of Economics, Canadian Economics Association, vol. 47(2), pages 373-397, May.
    8. Michael Peters & Balázs Szentes, 2012. "Definable and Contractible Contracts," Econometrica, Econometric Society, vol. 80(1), pages 363-411, January.
    9. Fu, Hu & Kleinberg, Robert & Lavi, Ron & Smorodinsky, Rann, 2017. "Stability and auctions in labor markets with job security," Economics Letters, Elsevier, vol. 154(C), pages 55-58.
    10. Szentes, Balázs, 2015. "Contractible contracts in common agency problems," LSE Research Online Documents on Economics 66071, London School of Economics and Political Science, LSE Library.
    11. Han, Seungjin, 2007. "Strongly robust equilibrium and competing-mechanism games," Journal of Economic Theory, Elsevier, vol. 137(1), pages 610-626, November.
    12. Balázs Szentes, 2015. "Contractible Contracts in Common Agency Problems," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(1), pages 391-422.
    13. Gabriel Carroll, 2015. "Robustness and Linear Contracts," American Economic Review, American Economic Association, vol. 105(2), pages 536-563, February.
    14. Peters, Michael, 2014. "Competing Mechanisms," Microeconomics.ca working papers michael_peters-2014-7, Vancouver School of Economics, revised 19 Feb 2014.
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    More about this item

    Keywords

    Principal-agent; Games played through agents; Contractible contracts; VCG;
    All these keywords.

    JEL classification:

    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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