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Definable and Contractible Contracts

  • Michael Peters
  • Balázs Szentes

This paper analyzes Bayesian normal form games in which players write contracts that condition their actions on the contracts of the other players. These contracts are required to be representable in a formal language. This is accomplished by constructing contracts which are definable functions of the Godel code of every other player's contract. We provide a complete characterization of the set of allocations supportable as pure strategy Bayesian equilibrium of this contracting game. When information is complete, this characterization provides a folk theorem. In general, the set of supportable allocations is smaller than the set supportable by a centralized mechanism designer.

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File URL: http://hdl.handle.net/10.3982/ECTA8375
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Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 80 (2012)
Issue (Month): 1 (01)
Pages: 363-411

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Handle: RePEc:ecm:emetrp:v:80:y:2012:i:1:p:363-411
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  1. Roger B. Myerson, 1981. "Mechanism Design by an Informed Principal," Discussion Papers 481, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  2. Michael L. Katz, 2006. "Observable Contracts as Commitments: Interdependent Contracts and Moral Hazard," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 15(3), pages 685-706, 09.
  3. Takuro Yamashita, 2010. "Mechanism Games With Multiple Principals and Three or More Agents," Econometrica, Econometric Society, vol. 78(2), pages 791-801, 03.
  4. Peters, Michael & Troncoso-Valverde, Cristian, 2010. "A Folk Theorem for Competing Mechanisms," Microeconomics.ca working papers michael_peters-2010-17, Vancouver School of Economics, revised 19 Oct 2013.
  5. Martimort, David & Moreira, Humberto, 2010. "Common agency and public good provision under asymmetric information," Theoretical Economics, Econometric Society, vol. 5(2), May.
  6. Epstein, Larry G. & Peters, Michael, 1999. "A Revelation Principle for Competing Mechanisms," Journal of Economic Theory, Elsevier, vol. 88(1), pages 119-160, September.
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