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A Game-Theoretic Foundation for the Wilson Equilibrium in Competitive Insurance Markets with Adverse Selection

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  • Wanda Mimra
  • Achim Wambach

Abstract

We extend the seminal Rothschild and Stiglitz (1976) model on competitive insurance markets with asymmetric information in the spirit of Wilson (1977)’s ‘anticipatory equilibrium’ by introducing an additional stage in which initial contracts can be withdrawn after observation of competitors’ contract offers. We show that an equilibrium always exists where consumers obtain their respective Wilson-Miyazaki-Spence (WMS) contract. Jointly profit-making contracts can also be sustained as equilibrium contracts. However, the second-best efficient WMS allocation is the unique equilibrium allocation under entry.

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Bibliographic Info

Paper provided by CESifo Group Munich in its series CESifo Working Paper Series with number 3412.

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Date of creation: 2011
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Handle: RePEc:ces:ceswps:_3412

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Keywords: asymmetric information; competitive insurance market; contract withdrawal;

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References

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  1. Pradeep Dubey & John Geanakoplos, 2001. "Competitive Pooling: Rothschild-Stiglitz Reconsidered," Cowles Foundation Discussion Papers 1346R2, Cowles Foundation for Research in Economics, Yale University, revised Feb 2002.
  2. Veronica Guerrieri & Robert Shimer & Randall Wright, 2009. "Adverse Selection in Competitive Search Equilibrium," NBER Working Papers 14915, National Bureau of Economic Research, Inc.
  3. Asheim, G.B. & Nilssen, T., 1994. "Non-Discriminating Renegotiation in a Competitive Insurance Market," Papers 25, Laval - Laboratoire Econometrie.
  4. Inderst, Roman & Wambach, Achim, 1999. "Competitive Insurance Markets Under Adverse Selection and Capacity Constraints," CEPR Discussion Papers 2269, C.E.P.R. Discussion Papers.
  5. Ana B. Ania & Thomas Tröger & Wambach, 1989. "An Evolutionary Analysis of Insurance Markets," Vienna Economics Papers 9808, University of Vienna, Department of Economics.
  6. Andrea Attar & Thomas Mariotti & François Salanié, 2010. "Non-Exclusive Competition in the Market for Lemons," CEIS Research Paper 159, Tor Vergata University, CEIS, revised 28 May 2010.
  7. John G. Riley, 1976. "Informational Equilibrium," UCLA Economics Working Papers 071, UCLA Department of Economics.
  8. Hellwig,Martin, 1986. "Some recent developments in the theory of competition in markets with adverse selection," Discussion Paper Serie A 82, University of Bonn, Germany.
  9. Jaynes, Gerald David, 1978. "Equilibria in monopolistically competitive insurance markets," Journal of Economic Theory, Elsevier, vol. 19(2), pages 394-422, December.
  10. Rothschild, Michael & Stiglitz, Joseph E, 1976. "Equilibrium in Competitive Insurance Markets: An Essay on the Economics of Imperfect Information," The Quarterly Journal of Economics, MIT Press, vol. 90(4), pages 630-49, November.
  11. Alberto Bisin & Piero Gottardi, 2006. "Efficient Competitive Equilibria with Adverse Selection," Journal of Political Economy, University of Chicago Press, vol. 114(3), pages 485-516, June.
  12. Engers, Maxim & Fernandez, Luis F, 1987. "Market Equilibrium with Hidden Knowledge and Self-selection," Econometrica, Econometric Society, vol. 55(2), pages 425-39, March.
  13. Spence, Michael, 1978. "Product differentiation and performance in insurance markets," Journal of Public Economics, Elsevier, vol. 10(3), pages 427-447, December.
  14. Dasgupta, Partha & Maskin, Eric, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, II: Applications," Review of Economic Studies, Wiley Blackwell, vol. 53(1), pages 27-41, January.
  15. Jeffrey M. Lacker & John A. Weinberg, 1999. "Coalition-Proof Allocations in Adverse-Selection Economies," The Geneva Risk and Insurance Review, Palgrave Macmillan, vol. 24(1), pages 5-17, June.
  16. Ania, Ana B. & Troger, Thomas & Wambach, Achim, 2002. "An evolutionary analysis of insurance markets with adverse selection," Games and Economic Behavior, Elsevier, vol. 40(2), pages 153-184, August.
  17. Crocker, Keith J. & Snow, Arthur, 1985. "The efficiency of competitive equilibria in insurance markets with asymmetric information," Journal of Public Economics, Elsevier, vol. 26(2), pages 207-219, March.
  18. Nick Netzer & Florian Scheuer, 2008. "Competitive Markets without Commitment," SOI - Working Papers 0814, Socioeconomic Institute - University of Zurich.
  19. Pierre Picard, 2009. "Participating insurance contracts and the Rothschild-Stiglitz equilibrium puzzle," Working Papers hal-00413825, HAL.
  20. Patrick Bolton & Mathias Dewatripont, 2005. "Contract Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262025760, December.
  21. Akerlof, George A, 1970. "The Market for 'Lemons': Quality Uncertainty and the Market Mechanism," The Quarterly Journal of Economics, MIT Press, vol. 84(3), pages 488-500, August.
  22. Wilson, Charles, 1977. "A model of insurance markets with incomplete information," Journal of Economic Theory, Elsevier, vol. 16(2), pages 167-207, December.
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Cited by:
  1. Ferdinand von Siemens & Michael Kosfeld, 2014. "Team Production in Competitive Labor Markets with Adverse Selection," CESifo Working Paper Series 4638, CESifo Group Munich.
  2. Daniel L. McFadden & Carlos E. Noton & Pau Olivella, 2012. "Remedies for Sick Insurance," NBER Working Papers 17938, National Bureau of Economic Research, Inc.

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