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Equilibria and Pareto optima of markets with adverse selection (*)

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Author Info
Douglas Gale (Department of Economics, Boston University, 270 Bay State Road, Boston, MA 02215, USA)

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Abstract

This paper examines the efficiency properties of competitive equilibrium in an economy with adverse selection. The agents (firms and households) in this economy exchange contracts, which specify all the relevant aspects of their interaction. Markets are assumed to be complete, in the sense that all possible contracts can, in principle, be traded. Since prices are specified as part of the contract, they cannot be used as free parameters to equate supply and demand in the market for the contract. Instead, equilibrium is achieved by adjusting the probability of trade. If the contract space is sufficiently rich, it can be shown that rationing will not be observed in equilibrium. A further refinement of equilibrium is proposed, restricting agents' beliefs about contracts that are not traded in equilibrium. Incentive-efficient and constrained incentive-efficient allocations are defined to be solutions to appropriately specified mechanism design problems. Constrained incentive efficiency is an artificial construction, obtained by adding the constraint that all contracts yield the same rate of return to firms. Using this notion, analogues of the fundamental theorems of welfare economics can be proved: all refined equilibria are constrained incentive-efficient and all constrained incentive-efficient allocations satisfying some additional conditions can be decentralized as refined equilibria. A constrained incentive-efficient equilibrium is typically not incentive-efficient, however. The source of the inefficiency is the equilibrium condition that forces all firms to earn the same rate of return on each contract.

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Publisher Info
Article provided by Springer in its journal Economic Theory.

Volume (Year): 7 (1996)
Issue (Month): 2 ()
Pages: 207-235
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Handle: RePEc:spr:joecth:v:7:y:1996:i:2:p:207-235

Note: Received: February 25, 1994; revised version September 16, 1994
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  1. George J. Mailath & Georg Noldeke, 2007. "Does Competitive Pricing Cause Market Breakdown under Extreme Adverse Selection?," PIER Working Paper Archive 07-022, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania. [Downloadable!]
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  2. Michael Peters, 1998. "Limits of Exact Equilibria for Capacity Constrained Sellers with costlySearch," Working Papers peters-98-01, University of Toronto, Department of Economics. [Downloadable!]
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  3. Michael Peters, 1995. "On the Equivalence of Walrasian and Non-Walrasian Equilibria in Contract Markets: The case of Complete Contracts," GE, Growth, Math methods 9507001, EconWPA. [Downloadable!]
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  4. Alberto Martin, 2007. "On Rothschild–Stiglitz as Competitive Pooling," Economic Theory, Springer, vol. 31(2), pages 371-386, May. [Downloadable!] (restricted)
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  5. Joao Correia-da-Silva, 2009. "Uncertain delivery in markets for lemons," FEP Working Papers 310, Universidade do Porto, Faculdade de Economia do Porto. [Downloadable!]
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  6. Aldo Rustichini & Paolo Siconolfi, 2008. "General equilibrium in economies with adverse selection," Economic Theory, Springer, vol. 37(1), pages 1-29, October. [Downloadable!] (restricted)
  7. Alberto Bisin & Piero Gottardi, 2005. "Efficient Competitive Equilibria with Adverse Selection," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
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  8. Alberto Bennardo & Pierre-Andre Chiappori, 2003. "Bertrand and Walras Equilibria Under Moral Hazard," Levine's Working Paper Archive 618897000000000748, David K. Levine. [Downloadable!]
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  9. Xavier Vives, 2000. "Allocative and Productive Efficiency in REE with Asymetric Information," UFAE and IAE Working Papers 473.00, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC). [Downloadable!]
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  10. Bel? Jerez, 2000. "General Equilibrium with Asymmetric Information: a Dual Approach," UFAE and IAE Working Papers 510.02, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC). [Downloadable!]
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  11. Max Blouin, 2000. "Quality Undersupply and Oversupply," Cahiers de recherche CREFE / CREFE Working Papers 113, CREFE, Université du Québec à Montréal. [Downloadable!]
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