1. Range-Dependent Utility
- Author
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Kontek, Krzysztof and Lewandowski, Michal
- Subjects
Decision analysis ,Decision-making -- Analysis -- Methods ,Utility theory -- Usage ,Risk management -- Methods ,Risk management ,Business, general ,Business - Abstract
First, this paper introduces and axiomatizes range-dependent utility as a new conceptual framework for decision making under risk. It is a simple and well-defined generalization of expected utility theory in which utility depends on the range of lottery outcomes. Second, a special case of this framework is proposed for prediction. It is based on applying a single utility function (decision utility) to every normalized lottery range. The resultant decision utility model predicts well-known expected utility paradoxes without recourse to probability weighting. Necessary and sufficient conditions for the model to satisfy monotonicity with respect to first-order stochastic dominance are identified. The typical decision utility function, which is confirmed by both experimental data and normative considerations, is S shaped. History: Accepted by Manel Baucells, decision analysis. Funding: The first author acknowledges financial support by the Narodowe Centrum Nauki (National Science Center, Poland) [Grant KAE/NCN/2012/07/N/HD4/00272]. Keywords: range-frequency model * expected utility * certainty equivalent * Allais paradox * probability weighting * Stochastic dominance violations, 1. Introduction Many restaurants use extremely expensive dishes as decoys. One probably will not buy such a dish but will perceive other dishes a little cheaper by comparison. This example [...]
- Published
- 2018
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