Optimal Risk Sharing with Optimistic and Pessimistic Decision Makers

Aloisio Araujo, Jean-Marc Bonnisseau (), Alain Chateauneuf and Rodrigo Novinski
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Jean-Marc Bonnisseau: Centre d'Economie de la Sorbonne - Paris School of Economics, https://centredeconomiesorbonne.univ-paris1.fr

Documents de travail du Centre d'Economie de la Sorbonne from Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne

Abstract: We prove that under mild conditions individually rational Pareto optima will exist even in presence of non-convex preferences. We consider decision makers dealing with a countable flow of payoffs 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 decision maker is too optimistic. We furthermore show that at an individually rational Pareto optimum at most one strictly optimistic decision maker will avoid ruin at each state or date. Considering a risky context this entails that even is 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: Risk sharing; Pareto optimum; impatience; optimistic (search for similar items in EconPapers)
JEL-codes: D80 D81 (search for similar items in EconPapers)
Pages: 36 pages
Date: 2015-09
New Economics Papers: this item is included in nep-mic, nep-rmg and nep-upt
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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ftp://mse.univ-paris1.fr/pub/mse/CES2015/15071.pdf (application/pdf)

Related works:
Working Paper: Optimal Risk Sharing with Optimistic and Pessimistic Decision Makers (2015)
Working Paper: Optimal Risk Sharing with Optimistic and Pessimistic Decision Makers (2015)
Working Paper: Optimal Risk Sharing with Optimistic and Pessimistic Decision Makers (2014)
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Persistent link: https://EconPapers.repec.org/RePEc:mse:cesdoc:15071

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