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The General Economic Premium Principle

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  • Bühlmann, Hans

Abstract

We give an extension of the Economic Premium Principle treated in Astin Bulletin, Volume 11 where only exponential utility functions were admitted. The case of arbitrary risk averse utility functions leads to similar quantitative results. The role of risk aversion in the treatment is essential. It also permits an easy proof for the existence of equilibrium.

Suggested Citation

  • Bühlmann, Hans, 1984. "The General Economic Premium Principle," ASTIN Bulletin, Cambridge University Press, vol. 14(1), pages 13-21, April.
    • Handle: RePEc:cup:astinb:v:14:y:1984:i:01:p:13-21_00
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    Cited by:

    1. Michail Anthropelos & Constantinos Kardaras, 2014. "Equilibrium in risk-sharing games," Papers 1412.4208, arXiv.org, revised Jul 2016.
    2. Møller, T., 2002. "On Valuation and Risk Management at the Interface of Insurance and Finance," British Actuarial Journal, Cambridge University Press, vol. 8(4), pages 787-827, October.
    3. Suijs, J.P.M., 1998. "Cooperative decision making in a stochastic environment," Other publications TiSEM a84d779a-d5a9-48e9-bfe7-4, Tilburg University, School of Economics and Management.
    4. Valdez, Emiliano A. & Chernih, Andrew, 2003. "Wang's capital allocation formula for elliptically contoured distributions," Insurance: Mathematics and Economics, Elsevier, vol. 33(3), pages 517-532, December.
    5. Lai, Li-Hua, 2015. "Statistical premium in correlated losses of insurance," Economic Modelling, Elsevier, vol. 49(C), pages 248-253.
    6. Michail Anthropelos & Constantinos Kardaras & Georgios Vichos, 2020. "Effective risk aversion in thin risk‐sharing markets," Mathematical Finance, Wiley Blackwell, vol. 30(4), pages 1565-1590, October.
    7. Borglin, Anders & Flåm, Sjur, 2007. "Risk Exchange as a Market or Production Game," Working Papers 2007:16, Lund University, Department of Economics.
    8. Filipovic, Damir & Kupper, Michael, 2007. "Monotone and cash-invariant convex functions and hulls," Insurance: Mathematics and Economics, Elsevier, vol. 41(1), pages 1-16, July.
    9. Michail Anthropelos & Gordan Zitkovic, 2009. "Partial Equilibria with Convex Capital Requirements: Existence, Uniqueness and Stability," Papers 0901.3318, arXiv.org.
    10. Li, Peng & Lim, Andrew E.B. & Shanthikumar, J. George, 2010. "Optimal risk transfer for agents with germs," Insurance: Mathematics and Economics, Elsevier, vol. 47(1), pages 1-12, August.
    11. David Cummins & Christopher Lewis & Richard Phillips, 1999. "Pricing Excess-of-Loss Reinsurance Contracts against Cat as trophic Loss," NBER Chapters, in: The Financing of Catastrophe Risk, pages 93-148, National Bureau of Economic Research, Inc.
    12. repec:hal:wpaper:hal-00746245 is not listed on IDEAS

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