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We study the interplay of probabilistic sophistication, second order stochastic dominance and uncertainty aversion, three fundamental notions in choice under uncertainty. In particular, our main result, Theorem 2, characterizes uncertainty averse preferences that are probabilistically...
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We study unique and globally attracting solutions of a general nonlinear stochastic equation, widely used in Finance and Macroeconomics and closely related to stochastic Koopmans equations. The equation is specified by a temporal aggregator W and a certainty equivalent operator . The main...
Persistent link: https://www.econbiz.de/10008860970
Starting with the seminal paper of Gilboa and Schmeidler (1989) [32] an analogy between the maxmin approach of decision theory under ambiguity and the minimax approach of robust statistics – e.g., Blum and Rosenblatt (1967) [10] – has been hinted at. The present paper formally clarifies this...
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Existential and constructive solutions to the classic problems of fair division are known for individuals with constant marginal evaluations. By considering nonatomic concave capacities instead of nonatomic probability measures, we extend some of these results to the case of individuals with...
Persistent link: https://www.econbiz.de/10005369371
The objective of this paper is to illustrate the connection existing between the asymptotic value of a certain random series and the absence of asset pricing valuation bubbles in stochastic economies with sequential markets. This series, in turn, is closely related to the one proposed by Cass to...
Persistent link: https://www.econbiz.de/10005370704