Optimal risk sharing with different reference probabilities

Acciaio, B. & Svindland, G. (2009). Optimal risk sharing with different reference probabilities. Insurance: Mathematics and Economics, 44(3), 426-433. https://doi.org/10.1016/j.insmatheco.2008.12.002
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We investigate the problem of optimal risk sharing between agents endowed with cash-invariant choice functions which are law-invariant with respect to different reference probability measures. We motivate a discrete setting both from an operational and a theoretical point of view, and give sufficient conditions for the existence of Pareto optimal allocations in this framework. Our results are illustrated by several examples.

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