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Contribution Details

Type Conference Presentation
Scope Contributions to practice
Title Dual Representation of Choice and Aspirational Preferences
Organization Unit
Authors
  • Enrico De Giorgi
  • D.B. Brown
  • M. Sim
Presentation Type paper
Item Subtype Original Work
Refereed Yes
Status Published in final form
Language
  • English
Event Title Risk, Uncertainty, and Decision 2010 (RUD) conference
Event Type conference
Event Location Paris
Event Start Date June 21 - 2010
Event End Date July 2 - 2010
Abstract Text We consider choice over a set of monetary acts and study a general class of preferences. These preferences favor diversification, except perhaps on a subset of sufficiently disliked acts, over which concentration is instead preferred. This structure encompasses a number of known models, such as expected utility theory, maxmin utility theory, and convex risk measures. We show that such preferences share a dual representation in terms of a family of measures of risk and a target function. Specifically, the choice function is equivalent to selection of a maximum index level such that the risk of beating the target function at that level is acceptable. This dual representation may help to uncover new models of choice. One that we explore in detail is the special case of a bounded target function. This case corresponds to a type of satisficing and has descriptive relevance. Moreover, the model results in optimization problems that may be efficiently solved in large-scale.
Official URL http://papers.ssrn.com/sol3/papers.cfm?abstract_id=1406399
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Additional Information Swiss Finance Institute Research Paper No. 09-19