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Competitive risk sharing contracts with one-sided commitment

  • Krueger, Dirk
  • Uhlig, Harald

This paper analyzes dynamic equilibrium risk sharing contracts between profit-maximizing intermediaries and a large pool of ex-ante identical agents that face idiosyncratic income uncertainty that makes them heterogeneous ex-post. In any given period, after having observed her income, the agent can walk away from the contract, while the intermediary cannot, i.e. there is one-sided commitment. We consider the extreme scenario that the agents face no costs to walking away, and can sign up with any competing intermediary without any reputational losses. We demonstrate that not only autarky, but also partial and full insurance can obtain, depending on the relative patience of agents and financial intermediaries. Insurance can be provided because in an equilibrium contract an up-front payment e.ectively locks in the agent with an intermediary. We then show that our contract economy is equivalent to a consumption-savings economy with one-period Arrow securities and a shortsale constraint, similar to Bulow and Rogo. (1989). From this equivalence and our characterization of dynamic contracts it immediately follows that without cost of switching financial intermediaries debt contracts are not sustainable, even though a risk allocation superior to autarky can be achieved.

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Paper provided by Center for Financial Studies (CFS) in its series CFS Working Paper Series with number 2005/07.

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Date of creation: 2005
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Handle: RePEc:zbw:cfswop:200507
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  17. Atkeson, Andrew & Lucas, Robert E, Jr, 1992. "On Efficient Distribution with Private Information," Review of Economic Studies, Wiley Blackwell, vol. 59(3), pages 427-53, July.
  18. Phelan Christopher, 1995. "Repeated Moral Hazard and One-Sided Commitment," Journal of Economic Theory, Elsevier, vol. 66(2), pages 488-506, August.
  19. Abreu, Dilip & Pearce, David & Stacchetti, Ennio, 1986. "Optimal cartel equilibria with imperfect monitoring," Journal of Economic Theory, Elsevier, vol. 39(1), pages 251-269, June.
  20. Rey, Patrick & Salanie, Bernard, 1990. "Long-term, Short-term and Renegotiation: On the Value of Commitment in Contracting," Econometrica, Econometric Society, vol. 58(3), pages 597-619, May.
  21. Dirk Krueger & Fabrizio Perri, 1999. "Risk Sharing: Private Insurance Markets or Redistributive Taxes?," Working Papers 99-04, New York University, Leonard N. Stern School of Business, Department of Economics.
  22. Rey, Patrick & Salanie, Bernard, 1996. "On the Value of Commitment with Asymmetric Information," Econometrica, Econometric Society, vol. 64(6), pages 1395-1414, November.
  23. Spear, Stephen E & Srivastava, Sanjay, 1987. "On Repeated Moral Hazard with Discounting," Review of Economic Studies, Wiley Blackwell, vol. 54(4), pages 599-617, October.
  24. Beaudry, Paul & DiNardo, John, 1991. "The Effect of Implicit Contracts on the Movement of Wages over the Business Cycle: Evidence from Micro Data," Journal of Political Economy, University of Chicago Press, vol. 99(4), pages 665-88, August.
  25. Atkeson, Andrew, 1991. "International Lending with Moral Hazard and Risk of Repudiation," Econometrica, Econometric Society, vol. 59(4), pages 1069-89, July.
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  27. Atkeson Andrew & Lucas Jr. , Robert E., 1995. "Efficiency and Equality in a Simple Model of Efficient Unemployment Insurance," Journal of Economic Theory, Elsevier, vol. 66(1), pages 64-88, June.
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