On the complexity of rationalizing behavior
AbstractWe study the complexity of rationalizing choice behavior. We do so by analyzing two polar cases, and a number of intermediate ones. In our most structured case, that is where choice behavior is defined in universal choice domains and satisfies the "weak axiom of revealed preference," finding the complete preorder rationalizing choice behavior is a simple matter. In the polar case, where no restriction whatsoever is imposed, either on choice behavior or on choice domain, finding the complete preorders that rationalize behavior turns out to be intractable. We show that the task of finding the rationalizing complete preorders is equivalent to a graph problem. This allows the search for existing algorithms in the graph theory literature, for the rationalization of choice.
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Bibliographic InfoPaper provided by Department of Economics and Business, Universitat Pompeu Fabra in its series Economics Working Papers with number 1048.
Date of creation: Sep 2007
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Web page: http://www.econ.upf.edu/
Rationalization; Computational complexity; NP-complete; Arbitrary Choice Domains;
Other versions of this item:
- D00 - Microeconomics - - General - - - General
This paper has been announced in the following NEP Reports:
- NEP-ALL-2007-09-30 (All new papers)
- NEP-DCM-2007-09-30 (Discrete Choice Models)
- NEP-HPE-2007-09-30 (History & Philosophy of Economics)
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