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On Three Standard Results in the Theory of Insurance Demand

Author

Listed:
  • Hong Liang

    (Department of Mathematics, Robert Morris University, 6001 University Boulevard, Moon Township, PA 15108, USA)

Abstract

This article re-examines three standard results in the theory of insurance demand: (i) full coverage with a fair premium and partial coverage with an unfair premium; (ii) insurance is an inferior good under decreasing absolute risk aversion (DARA) and (iii) insurance may be a Giffen good under DARA. It has been shown recently that (i) holds for the class of insurance policies in which maximum coverage fully covers the potential loss. We show that whether (i) holds beyond this class of policies is indeterminate. In addition, we employ a unified framework to investigate the effects of changes in initial wealth and price. In particular, we show that both (ii) and (iii) hold for a certain class of insurance policies which include all commonly-used types of policies. The result also provides a unified treatment of several results in the extant literature.

Suggested Citation

  • Hong Liang, 2020. "On Three Standard Results in the Theory of Insurance Demand," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 14(1), pages 1-10, January.
    • Handle: RePEc:bpj:apjrin:v:14:y:2020:i:1:p:10:n:6
    DOI: 10.1515/apjri-2018-0037
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    References listed on IDEAS

    as
    1. Georges Dionne (ed.), 2013. "Handbook of Insurance," Springer Books, Springer, edition 2, number 978-1-4614-0155-1, February.
    2. J. David Cummins & Olivier Mahul, 2004. "The demand for insurance with an upper limit on coverage," Post-Print hal-01952122, HAL.
    3. Harris Schlesinger, 2006. "Mossin's Theorem for Upper‐Limit Insurance Policies," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 73(2), pages 297-301, June.
    4. Briys, Eric & Dionne, Georges & Eeckhoudt, Louis, 1989. "More on Insurance as a Giffen Good," Journal of Risk and Uncertainty, Springer, vol. 2(4), pages 415-420, December.
    5. J. David Cummins & Olivier Mahul, 2004. "The Demand for Insurance With an Upper Limit on Coverage," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 71(2), pages 253-264, June.
    6. Doherty, Neil A & Schlesinger, Harris, 1983. "Optimal Insurance in Incomplete Markets," Journal of Political Economy, University of Chicago Press, vol. 91(6), pages 1045-1054, December.
    7. Chi, Yichun & Wei, Wei, 2018. "Optimum Insurance Contracts With Background Risk And Higher-Order Risk Attitudes," ASTIN Bulletin, Cambridge University Press, vol. 48(3), pages 1025-1047, September.
    8. Lu, ZhiYi & Liu, LePing & Zhang, JianYu & Meng, LiLi, 2012. "Optimal insurance under multiple sources of risk with positive dependence," Insurance: Mathematics and Economics, Elsevier, vol. 51(2), pages 462-471.
    9. Liang Hong, 2019. "Remarks on the Mossin Theorem," North American Actuarial Journal, Taylor & Francis Journals, vol. 23(1), pages 1-10, January.
    10. Doherty, Neil A & Schlesinger, Harris, 1983. "The Optimal Deductible for an Insurance Policy When Initial Wealth Is Random," The Journal of Business, University of Chicago Press, vol. 56(4), pages 555-565, October.
    Full references (including those not matched with items on IDEAS)

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