Context and decision : three approaches to representing preferences
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
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|
|Institution:||University of Warwick|
|Theses Department:||Mathematics Institute|
|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|
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