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Comparative statics of changes in risk on monotonically and partially responsive kinked payoffs

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  • Hau, Arthur

Abstract

This paper derives two sets of necessary and sufficient conditions on the comparative statics of changes in risk under kinked payoff functions that are monotonically responsive and partially responsive to the realization of risk, respectively. The former case includes the newsboy problem with backorder; the latter case includes the newsboy problem without backorder and under some restrictions, also includes the optimal deductible insurance problem. Some relatively non-restrictive conditions derived from the necessary and sufficient conditions reveal that the three problems can be quite different, even though they are often viewed in the literature as being congruous. These conditions lead to simple predictions of the direction of change in any risk-averse agent's optimal choice upon a change in risk, without assuming specific functional forms for the utility function.

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  • Hau, Arthur, 2010. "Comparative statics of changes in risk on monotonically and partially responsive kinked payoffs," European Journal of Operational Research, Elsevier, vol. 201(1), pages 267-276, February.
    • Handle: RePEc:eee:ejores:v:201:y:2010:i:1:p:267-276
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    2. M Denuit & L Eeckhoudt & O Jokung, 2013. "Non-differentiable transformations preserving stochastic dominance," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 64(9), pages 1441-1446, September.
    3. Zhou, Wei & Zhang, Keang & Zhang, Ying & Duan, Yunlong, 2021. "Operation strategies with respect to insurance subsidy optimization for online retailers dealing with large items," International Journal of Production Economics, Elsevier, vol. 232(C).

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