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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.
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  • Han, Seungjin, 2006. "Menu theorems for bilateral contracting," Journal of Economic Theory, Elsevier, vol. 131(1), pages 157-178, November.
  • Handle: RePEc:eee:jetheo:v:131:y:2006:i:1:p:157-178
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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, Department of Economics, Indiana University Bloomington.
    2. Pavan, Alessandro & Calzolari, Giacomo, 2009. "Sequential contracting with multiple principals," Journal of Economic Theory, Elsevier, vol. 144(2), pages 503-531, March.
    3. 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.
    4. Han, Seungjin, 2014. "Implicit collusion in non-exclusive contracting under adverse selection," Journal of Economic Behavior & Organization, Elsevier, vol. 99(C), pages 85-95.
    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. Attar, Andrea & Mariotti, Thomas & Salanié, François, 2019. "On competitive nonlinear pricing," Theoretical Economics, Econometric Society, vol. 14(1), January.
    7. Seungjin Han, 2021. "Robust Equilibria in General Competing Mechanism Games," Papers 2109.13177, arXiv.org, revised Aug 2023.
    8. 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.
    9. 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.
    10. Michael Peters & Balázs Szentes, 2012. "Definable and Contractible Contracts," Econometrica, Econometric Society, vol. 80(1), pages 363-411, January.
    11. 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.
    12. , & , & ,, 2014. "Nonexclusive competition under adverse selection," Theoretical Economics, Econometric Society, vol. 9(1), January.
    13. Yu Chen, 2017. "Simplification of Contracting under Adverse Selection with Ex Post State," Graz Economics Papers 2017-01, University of Graz, Department of Economics.
    14. Andrea Attar & Eloisa Campioni & Gwena�l Piaser & Uday Rajan, 2006. "On multiple agent models of moral hazard," Working Papers 2006_32, Department of Economics, University of Venice "Ca' Foscari".
    15. 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.
    16. repec:inu:caeprp:2012-008 is not listed on IDEAS
    17. 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.
    18. Peters, Michael, 2015. "Reciprocal contracting," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 102-126.
    19. 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.
    20. Han, Seungjin, 2007. "Strongly robust equilibrium and competing-mechanism games," Journal of Economic Theory, Elsevier, vol. 137(1), pages 610-626, November.

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    More about this item

    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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