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The Equivalence of Lending Equilibria and Signalling-Based Insurance under Asymmetric Information

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  • Bart Taub

Abstract

I present a model in which a continuum of individuals have stochastic idiosyncratic income shocks. Complete insurance is physically feasible but unattainable due to an information asymmetry; income shocks are observable only by the individuals receiving them. Any insurance institution must therefore rely on self-repoorting of income innovations. Two ways of achieving incentive-compatible self-reporting are presented. The first is a debt market with an explicit lending restriction. The second is an insurance contract that linearly filters a signal transmitted by individuals. The two are then demonstrated to be identical. Equilibrium consumption fluctuates in a random walk, which is inefficient given the physical potential for complete insurance, but is efficient given the information constraints. The results are complementary to those of Green (1987) but permit more general stochastic processes of income to be analyzed. Serial correlation of income reduces the efficiency of the insurance.

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  • Bart Taub, 1990. "The Equivalence of Lending Equilibria and Signalling-Based Insurance under Asymmetric Information," RAND Journal of Economics, The RAND Corporation, vol. 21(3), pages 388-408, Autumn.
    • Handle: RePEc:rje:randje:v:21:y:1990:i:autumn:p:388-408
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    Cited by:

    1. Wang, Cheng, 1997. "Incentives, CEO Compensation, and Shareholder Wealth in a Dynamic Agency Model," Journal of Economic Theory, Elsevier, vol. 76(1), pages 72-105, September.
    2. Dan Bernhardt & P. Seiler & B. Taub, 2010. "Speculative dynamics," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(1), pages 1-52, July.
    3. Khan, Aubhik & Ravikumar, B., 2001. "Growth and risk-sharing with private information," Journal of Monetary Economics, Elsevier, vol. 47(3), pages 499-521, June.
    4. Taub, B., 1997. "Optimal policy in a model of endogenous fluctuations and assets," Journal of Economic Dynamics and Control, Elsevier, vol. 21(10), pages 1669-1697, August.
    5. Wang, Cheng & Williamson, Stephen, 1996. "Unemployment insurance with moral hazard in a dynamic economy," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 44(1), pages 1-41, June.
    6. Kenneth Kasa & Todd B. Walker & Charles H. Whiteman, 2014. "Heterogeneous Beliefs and Tests of Present Value Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(3), pages 1137-1163.
    7. Taub, B., 2023. "Signal-jamming in the frequency domain," Games and Economic Behavior, Elsevier, vol. 142(C), pages 896-930.
    8. Latchezar Popov & B Ravikumar & Aubhik Khan, 2012. "Enduring Relationships in an Economy with Capital and Private Information," 2012 Meeting Papers 1056, Society for Economic Dynamics.
    9. Wagner, W.B., 2000. "Decentralized International Risk Sharing and Governmental Moral Hazard," Discussion Paper 2000-92, Tilburg University, Center for Economic Research.
    10. P. Seiler & B. Taub, 2008. "The dynamics of strategic information flows in stock markets," Finance and Stochastics, Springer, vol. 12(1), pages 43-82, January.
    11. Wagner, W.B., 2000. "Decentralized International Risk Sharing and Governmental Moral Hazard," Other publications TiSEM e1835d1b-f90b-4907-be6c-1, Tilburg University, School of Economics and Management.

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