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Title: Context and decision : three approaches to representing preferences
Author: O'Callaghan, Patrick H. D.
ISNI:       0000 0004 2725 5265
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 2011
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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.
Supervisor: Not available Sponsor: Engineering and Physical Sciences Research Council (EPSRC)
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics