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Context and decision : three approaches to representing preferences
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O'Callaghan, Patrick H. D. (2011) Context and decision : three approaches to representing preferences. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b2585317~S1
Abstract
We present three approaches to representing families of preference relations indexed by context over a set of alternatives. Our main motivation is that existing models of preferences typically assume that there is a unique order that ranks alternatives and contexts alike, that is preferences are context-free. We argue that this is often an unnecessary and unrealistic burden on the decision-maker’s capacity to decide. The first chapter is a geometric approach that improves upon the model of Gilboa and Schmeidler (2003) and casebased decision theory. The second is a general, topological approach with applications to choice under uncertainty; for context preferences it emulates the classical representation of Debreu (1954) and (1964). Finally, as a practical alternative the previous two models we extend the model of Herstein and Milnor (1953) and hence von Neumann and Morgernstern (1944) to obtain a representation for unions of mixture spaces.
| Item Type: | Thesis or Dissertation (PhD) |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Library of Congress Subject Headings (LCSH): | Statistical decision |
| Date: | August 2011 |
| Institution: | University of Warwick |
| Theses Department: | Mathematics Institute |
| Thesis Type: | PhD |
| Publication Status: | Unpublished |
| Supervisor(s)/Advisor: | MacKay, R. S. (Robert Sinclair) ; Hammond, Peter J., 1945- ; Jacka, Saul D. |
| Sponsors: | Engineering and Physical Sciences Research Council (EPSRC) |
| Extent: | vii, 229 pages : charts |
| Language: | eng |
| URI: | http://wrap.warwick.ac.uk/id/eprint/51647 |
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