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Optimal sharing with an infinite number of commodities in the presence of optimistic and pessimistic agents

Aloisio Araujo, Jean-Marc Bonnisseau (), Alain Chateauneuf () and Rodrigo Novinski ()
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Rodrigo Novinski: Faculdades Ibmec - Faculdades Ibmec

Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) from HAL

Abstract: We prove that under mild conditions individually rational Pareto optima will exist even in the presence of non-convex preferences. We consider decision-makers (DMs) dealing with a countable flow of pay-offs or choosing among financial assets whose outcomes depend on the realization of a countable set of states of the world. Our conditions for the existence of Pareto optima can be interpreted as a requirement of impatience in the first context and of some pessimism or not unrealistic optimism in the second context. A non-existence example is provided when, in the second context, some DM is too optimistic. We furthermore show that at an individually rational Pareto optimum at most one strictly optimistic DM will avoid ruin at each state or date. Considering a risky context, this entails that even if risk averters will share risk in a comonotonic way as usual, at most one classical strong risk lover will avoid ruin at each state or date. Finally, some examples illustrate circumstances when a risk averter could take advantage of sharing risk with a risk lover rather than with a risk averter.

Keywords: Optimism; Impatience; Countable set of commodities; Pessimism; Pareto optima; Non-convex preferences (search for similar items in EconPapers)
Date: 2017
Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-01336882
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Published in Economic Theory, Springer Verlag, 2017, 63 (1), pp.131-157. ⟨10.1007/s00199-016-0985-0⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:cesptp:halshs-01336882

DOI: 10.1007/s00199-016-0985-0

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