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Supplement to "Belief heterogeneity in the Arrow-Borch-Raviv insurance model"

Author

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  • Ghossoub, Mario
Abstract
This paper is a supplement to Ghossoub [11]. In this supplement, some of the results of Ghossoub [11], as well as the techniques used to obtain these result are extended to a more general problem of demand for contingent claims with belief heterogeneity. Moreover, a general problem of monotone comparative statics under heterogeneous uncertainty is examined, and I show how the idea of vigilance can be used to obtain a monotone comparative statics result in this case.

Suggested Citation

  • Ghossoub, Mario, 2010. "Supplement to "Belief heterogeneity in the Arrow-Borch-Raviv insurance model"," MPRA Paper 37717, University Library of Munich, Germany, revised 22 Mar 2012.
    • Handle: RePEc:pra:mprapa:37717
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    File URL: https://mpra.ub.uni-muenchen.de/37717/1/MPRA_paper_37717.pdf
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    References listed on IDEAS

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    1. Rogerson, William P, 1985. "The First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 53(6), pages 1357-1367, November.
    2. Williamson, Stephen D., 1986. "Costly monitoring, financial intermediation, and equilibrium credit rationing," Journal of Monetary Economics, Elsevier, vol. 18(2), pages 159-179, September.
    3. Alain Chateauneuf & Fabio Maccheroni & Massimo Marinacci & Jean-Marc Tallon, 2005. "Monotone continuous multiple priors," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 973-982, November.
    4. Grossman, Sanford J & Hart, Oliver D, 1983. "An Analysis of the Principal-Agent Problem," Econometrica, Econometric Society, vol. 51(1), pages 7-45, January.
    5. Susan Athey, 2002. "Monotone Comparative Statics under Uncertainty," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(1), pages 187-223.
    6. Bengt Holmstrom, 1979. "Moral Hazard and Observability," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 74-91, Spring.
    7. Douglas Gale & Martin Hellwig, 1985. "Incentive-Compatible Debt Contracts: The One-Period Problem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(4), pages 647-663.
    8. Athey, S, 1996. "Comparative Statics under Uncertainty : Single Crossing Properties and Log-Supermodularity," Working papers 96-22, Massachusetts Institute of Technology (MIT), Department of Economics.
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    11. Raviv, Artur, 1979. "The Design of an Optimal Insurance Policy," American Economic Review, American Economic Association, vol. 69(1), pages 84-96, March.
    12. Page, Frank Jr., 1987. "The existence of optimal contracts in the principal-agent model," Journal of Mathematical Economics, Elsevier, vol. 16(2), pages 157-167, April.
    13. Ghossoub, Mario, 2010. "Belief heterogeneity in the Arrow-Borch-Raviv insurance model," MPRA Paper 37630, University Library of Munich, Germany, revised 22 Mar 2012.
    14. Athey, S., 1996. "Characterizing Properties of Stochastic Objective Functions," Working papers 96-1, Massachusetts Institute of Technology (MIT), Department of Economics.
    15. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
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    Cited by:

    1. Rodrigo S. Targino & Gareth W. Peters & Georgy Sofronov & Pavel V. Shevchenko, 2013. "Optimal insurance purchase strategies via optimal multiple stopping times," Papers 1312.0424, arXiv.org.

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    More about this item

    Keywords

    Subjective Probability; Heterogeneous Beliefs; Vigilance; Contingent Claims; Monotone Likelihood Ratio; Monotone Comparative Statics;
    All these keywords.

    JEL classification:

    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics

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