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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 (PhD) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Statistical decision | ||||
Official Date: | August 2011 | ||||
Dates: |
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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Publication Status: | Unpublished | ||||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 |
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