Risk, Ambiguity, and the Rank-Dependence Axioms
Mark J. Machina
Abstract
Mark J. Machina
Abstract
Choice problems in the spirit of Ellsberg (1961) suggest that rank-dependent (“Choquet expected utility”) preferences over subjective gambles might be subject to the same difficulties that Ellsberg's earlier examples posed for subjective expected utility. These difficulties stem from event-separability properties that rank-dependent preferences partially retain from expected utility, and suggest that nonseparable models of preferences might be better at capturing features of behavior that lead to these paradoxes. (JEL D81)
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Choice problems in the spirit of Ellsberg (1961) suggest that rank-dependent (“Choquet expected utility”) preferences over subjective gambles might be subject to the same difficulties that Ellsberg's earlier examples posed for subjective expected utility. These difficulties stem from event-separability properties that rank-dependent preferences partially retain from expected utility, and suggest that nonseparable models of preferences might be better at capturing features of behavior that lead to these paradoxes. (JEL D81)
Key concepts: Axiom, Ambiguity, Expected utility hypothesis, Mathematical economics, Rank (graph theory), Economics, Subjective expected utility, Von Neumann–Morgenstern utility theorem