Apportioning of risks via stochastic dominance
AbstractConsider a simple two-state risk with equal probabilities for the two states. In particular, assume that the random wealth variable dominates via ith-order stochastic dominance for i=M,N. We show that the 50-50 lottery dominates the lottery via (N+M)th-order stochastic dominance. The basic idea is that a decision maker exhibiting (N+M)th-order stochastic dominance preference will allocate the state-contingent lotteries in such a way as not to group the two "bad" lotteries in the same state, where "bad" is defined via ith-order stochastic dominance. In this way, we can extend and generalize existing results about risk attitudes. This lottery preference includes behavior exhibiting higher-order risk effects, such as precautionary effects and tempering effects.
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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Economic Theory.
Volume (Year): 144 (2009)
Issue (Month): 3 (May)
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Web page: http://www.elsevier.com/locate/inca/622869
Downside risk Precautionary effects Prudence Risk apportionment Risk aversion Stochastic dominance Temperance;
Other versions of this item:
- EECKHOUDT, Louis & SCHELSINGER, Harris & TSETLIN, Ilia, . "Apportioning of risks via stochastic dominance," CORE Discussion Papers RP -2096, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Louis Eeckhoudt & Harris Schlesinger & Ilia Tsetlin, 2008. "Apportioning of Risks via Stochastic Dominance," CESifo Working Paper Series 2467, CESifo Group Munich.
- D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
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