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Menu Theorems for Bilateral Contracting

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  • Han, Seungjin

Abstract

This paper studies the bilateral contracting environment where multiple principals negotiate contracts with multiple agents independently. It is shown that equilibrium allocations associated with (pure strategy) perfect Bayesian equilibria relative to any ad hoc set of negotiation schemes can be supported by pure strategy perfect Bayesian equilibria relative to the set of menus. It is also shown that equilibrium allocations associated with all perfect Bayesian equilibria relative to any ad hoc set of negotiation schemes can be supported by correlated equilibria relative to the set of menus, where the set of states is simply the set of feasible probability distributions over payoff-relevant variables. Moreover, equilibrium allocations associated with all equilibria relative to the set of menus persist even if principals use more complex negotiation schemes.

Suggested Citation

  • Han, Seungjin, 2004. "Menu Theorems for Bilateral Contracting," Microeconomics.ca working papers han-04-01-29-10-05-13, Vancouver School of Economics, revised 29 Jan 2004.
  • Handle: RePEc:ubc:pmicro:han-04-01-29-10-05-13
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    File URL: http://microeconomics.ca/seungjin_han/dup_bicontract25.pdf
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    References listed on IDEAS

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    1. Paul Klemperer, 2002. "What Really Matters in Auction Design," Journal of Economic Perspectives, American Economic Association, vol. 16(1), pages 169-189, Winter.
    2. B. Douglas Bernheim & Michael D. Whinston, 1986. "Menu Auctions, Resource Allocation, and Economic Influence," The Quarterly Journal of Economics, Oxford University Press, vol. 101(1), pages 1-31.
    3. Peters, Michael, 2001. "Common Agency and the Revelation Principle," Econometrica, Econometric Society, vol. 69(5), pages 1349-1372, September.
    4. David Martimort & Lars Stole, 2002. "The Revelation and Delegation Principles in Common Agency Games," Econometrica, Econometric Society, vol. 70(4), pages 1659-1673, July.
    5. Dixit, Avinash & Grossman, Gene M & Helpman, Elhanan, 1997. "Common Agency and Coordination: General Theory and Application to Government Policy Making," Journal of Political Economy, University of Chicago Press, vol. 105(4), pages 752-769, August.
    6. McAfee, R Preston, 1993. "Mechanism Design by Competing Sellers," Econometrica, Econometric Society, vol. 61(6), pages 1281-1312, November.
    7. Andrea Prat & Aldo Rustichini, 2003. "Games Played Through Agents," Econometrica, Econometric Society, vol. 71(4), pages 989-1026, July.
    8. Ilya Segal, 1999. "Contracting with Externalities," The Quarterly Journal of Economics, Oxford University Press, vol. 114(2), pages 337-388.
    9. Klemperer, Paul D & Meyer, Margaret A, 1989. "Supply Function Equilibria in Oligopoly under Uncertainty," Econometrica, Econometric Society, vol. 57(6), pages 1243-1277, November.
    10. Epstein, Larry G. & Peters, Michael, 1999. "A Revelation Principle for Competing Mechanisms," Journal of Economic Theory, Elsevier, vol. 88(1), pages 119-160, September.
    11. Ilya Segal & Michael D. Whinston, 2003. "Robust Predictions for Bilateral Contracting with Externalities," Econometrica, Econometric Society, vol. 71(3), pages 757-791, May.
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    Citations

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    Cited by:

    1. Yu Chen, 2013. "Bilateral Mechanism Design: Practical Contracting in Multi-Agency," Caepr Working Papers 2013-003, Center for Applied Economics and Policy Research, Economics Department, Indiana University Bloomington.
    2. Alessandro Pavan & Giacomo Calzolari, 2010. "Truthful Revelation Mechanisms for Simultaneous Common Agency Games," American Economic Journal: Microeconomics, American Economic Association, vol. 2(2), pages 132-190, May.
    3. Pavan, Alessandro & Calzolari, Giacomo, 2009. "Sequential contracting with multiple principals," Journal of Economic Theory, Elsevier, vol. 144(2), pages 503-531, March.
    4. Peters, Michael, 2006. "Truncated Hedonic Equilibrium," Microeconomics.ca working papers peters-06-04-11-02-42-39, Vancouver School of Economics, revised 03 Mar 2009.
    5. Vianney Dequiedt & David Martimort, 2015. "Vertical Contracting with Informational Opportunism," American Economic Review, American Economic Association, vol. 105(7), pages 2141-2182, July.
    6. Han, Seungjin, 2014. "Implicit collusion in non-exclusive contracting under adverse selection," Journal of Economic Behavior & Organization, Elsevier, vol. 99(C), pages 85-95.
    7. Andrea Attar & Eloisa Campioni & Gwenaël Piaser & Uday Rajan, 2012. "Competing mechanism games of moral hazard: communication and robustness," Review of Economic Design, Springer;Society for Economic Design, vol. 16(4), pages 283-296, December.
    8. Attar, Andrea & Mariotti, Thomas & Salanié, François, 2014. "Nonexclusive competition under adverse selection," Theoretical Economics, Econometric Society, vol. 9(1), January.
    9. Yu Chen, 2017. "Simplification of Contracting under Adverse Selection with Ex Post State," Graz Economics Papers 2017-01, University of Graz, Department of Economics.
    10. 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, Economics Department, Indiana University Bloomington.
    11. Ghosh, Sambuddha & Han, Seungjin, 2012. "Repeated Contracting in Decentralised Markets," Microeconomics.ca working papers seungjin_han-2012-12, Vancouver School of Economics, revised 02 May 2013.
    12. repec:inu:caeprp:2012-008 is not listed on IDEAS
    13. Pilli-Sihvola, Karoliina & Aatola, Piia & Ollikainen, Markku & Tuomenvirta, Heikki, 2010. "Climate change and electricity consumption--Witnessing increasing or decreasing use and costs?," Energy Policy, Elsevier, vol. 38(5), pages 2409-2419, May.
    14. Peters, Michael, 2015. "Reciprocal contracting," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 102-126.
    15. 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.
    16. Han, Seungjin, 2007. "Strongly robust equilibrium and competing-mechanism games," Journal of Economic Theory, Elsevier, vol. 137(1), pages 610-626, November.

    More about this item

    Keywords

    Mechanism Design; Bilateral Contracting; Mutliple Principals; Multiple Agents;

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other

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