Expected utility without continuity: A comment on Delbaen et al. (2011) |
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Authors: | Vitalie Spinu Peter P Wakker |
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Institution: | Econometric Institute, Erasmus University, P.O. Box 1738, Rotterdam, 3000 DR, The Netherlands |
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Abstract: | This paper presents preference axiomatizations of expected utility for nonsimple lotteries while avoiding continuity constraints. We use results by Fishburn (1975), Wakker (1993), and Kopylov (2010) to generalize results by Delbaen et al. (2011). We explain the logical relations between these contributions for risk versus uncertainty, and for finite versus countable additivity, indicating what are the most general axiomatizations of expected utility existing today. |
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Keywords: | Expected utility Von Neumann&ndash Morgenstern independence Finite additivity Unbounded utility Truncation-continuity |
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