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Competitive Insurance Markets with Asymmetric Information: A Cournot-Arrow-Debreu Approach

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Author Info
Gale, Douglas (New York University)
Hellwig, Martin () (Sonderforschungsbereich 504)

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Abstract

The paper studies insurance with asymmetric information in a system of contingent-claims markets with a finite number of risk averse agents. If the informed trader is a price taker, equilibrium prices disclose his information and, conditional on this information, equilibrium outcomes are efficient, as in Grossman (1981). With many agents to share risks, the informed trader gets close to full insurance at conditionally fair odds, which is not incentive compatible. If the informed trader behaves as a Cournot monopolist, equilibrium outcomes are always incentive compatible. Learning from prices generates the same outcomes as learning directly from the informed agent's behaviour in a 'signalling' version of the Cournot model. As in Spence (1973), these outcomes may be separating or pooling. With many agents to share risks, equilibrium outcomes approximate the sequential-equilibrium outcomes of a signalling game in which the insurance buyer names the premium he wants to pay, and risk neutral insurers respond with competing indemnity offers.

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Publisher Info
Paper provided by Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim in its series Sonderforschungsbereich 504 Publications with number 02-19.

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Length: 49 pages
Date of creation: 13 Mar 2002
Date of revision:
Handle: RePEc:xrs:sfbmaa:02-19

Note: * This paper owes its existence to Laurenz Kohlleppel's asking the question: What is the relation between Rothschild-Stiglitz (1976) and Grossman (1981)? We are grateful to him as well as Tilman Börgers and Piero Gottardi for helpful discussions about the ideas in this paper. Financial support from the Deutsche Forschungsgemeinschaft, SFB 504, at the University of Mannheim, is gratefully acknowledged.
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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. George J. Mailath & Georg Noldeke, 2006. "Extreme Adverse Selection, Competitive Pricing, and Market Breakdown," Cowles Foundation Discussion Papers 1573, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
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