Optimal risk-sharing rules and equilibria with Choquet-expected-utility
This paper explores risk-sharing and equilibrium in a general equilibrium set-up wherein agents are non-additive expected utility maximizers. We show that when agents have the same convex capacity, the set of Pareto-optima is independent of it and identical to the set of optima of an economy in which agents are expected utility maximizers and have same probability. Hence, optimal allocations are comonotone. This enables us to study the equilibrium set. When agents have different capacities, matters are much more complex (as in the vNM case). We give a general characterization and show how it simplifies when Pareto-optima are comonotone. We use this result to characterize Pareto-optima when agents have capacities that are the convex transform of some probability distribution. comonotonicity of Pareto-optima is also shown to be true in the two-state case if the intersection of the core of agents' capacities is non-empty; Pareto-optima may then be fully characterized in the two-agent, two-state case. This comonotonicity result does not generalize to more than two states as we show with a counter-example. Finally, if there is no-aggregate risk, we show that non-empty core intersection is enough to guarantee that optimal allocations are full-insurance allocation. This result does not require convexity of preferences.
|Date of creation:||2000|
|Date of revision:|
|Publication status:||Published, Journal of Mathematical Economics, 2000, 34, 2, 191-214|
|Note:||View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00451997|
|Contact details of provider:|| Web page: http://hal.archives-ouvertes.fr/ |
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Mukerji, S., 1995.
"Understanding the nonadditive probability decision model,"
Discussion Paper Series In Economics And Econometrics
9517, Economics Division, School of Social Sciences, University of Southampton.
- Sujoy Mukerji, 1996. "Understanding the nonadditive probability decision model (*)," Economic Theory, Springer, vol. 9(1), pages 23-46.
When requesting a correction, please mention this item's handle: RePEc:hal:cesptp:halshs-00451997. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (CCSD)
If references are entirely missing, you can add them using this form.