Abstract
In this Chapter we study choice functions rationalizable by utility maximization with a threshold depending on the feasible set X and in some cases on the compared alternatives. The threshold function ε is considered to be in one of the following forms: ε = ε(x, y, X), ε = ε(y, X), ε = ε(x, X), or ε = ε(X).
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5.10 Concluding Remarks and Guide to the Literature
Aizerman, M. and Aleskerov, F. (1991) Choice of Options (Fundamentals of the theory), Moscow, Nauka (in Russian).
Aizerman, M. and Malishevski, A. (1981a) Some aspects of general theory of the choice of best alternatives, Automation and Remote Control, 2, 65–83.
Aizerman, M. and Malishevski, A. (1981b) General theory of best variants choice: some aspects, IEEE Transactions on Automatic Control, AC-26(5), 1030–1041.
Aleskerov, F. (1992) Binary relations, numerical comparisons with errors and rationality conditions for choice, Social Science Working Paper 812, California Institute of Technology, Pasadena, CA, USA.
Agaev, R. and Aleskerov, F. (1993a) Mechanisms of generalized interval choice and functions generated by them, Automation and Remote Control, 4, 662–671.
Agaev, R. and Aleskerov, F. (1993b) Interval choice: classic and general cases, Mathematical Social Sciences, 26(3), 249–272.
Aleskerov, F. (2001) Simple and simplest semiorders, Boğaziçi University Working Paper, ISStikyaEC-01-08.
Aleskerov, F. (2002a) Binary representation of choice rationalizable by a utility function and an additive non-negative error function, Mathematical Social Sciences, 43(2), 177–185.
Aleskerov, F. (2002b) Simple and Simplest Semiorders in Extremizational Choice with Additive Error, Automation and Remote Control, 63(2), 296–303.
Aleskerov, F. (2002c) Simple and simplest semiorders, Doklady Mathematics, 66(3), 465–467.
Aleskerov, F. (2003) Threshold Utility, Choice, and Binary Relations, Automation and Remote Control, 64(3), 350–367.
Aleskerov, F. and Masatlioĝlu, Y. (1998) Choice and binary relations representable via utility function and supermodular or multiplicative error function, Boğaziçi University Working Paper, ISStikyaEC-98-02.
Aleskerov, F. and Masatlioĝlu, Y. (2003) Utility representation via additive or multiplicative error functions, Discrete Applied Mathematics, 127(2), 181–197.
Aleskerov, F. and Schwartz, T. (1992) Threshold maximization and satisficing: the equivalence of two kinds of limited rationality, mimeo unpublished.
Arrow, K. (1959) Rational choice functions and orderings, Economica, 26, 121–127.
Baigent, N. and Gaertner, W. (1996) Never choose the uniquely largest: A characterization, Economic Theory, 8, 239–249.
Beyarslan, Ö. (1999) Choice rationalizable via nondecreasing error function, Boğaziçi University, M.S. Thesis.
Deb, R. (1983) Binariness and rational choice, Mathematical Social Sciences, 5(1), 97–105.
Diaye, M.-A. (2001) Sur la définition de choix rationnels dans le cas de préférences dependant du contexte, Revue Economique, 52(1), 17–33.
Fishburn, P.C., (1973a) Interval representations for interval orders and semiorders, Journal of Mathematical Psychology, 10, 91–105.
Gaertner, W. (1987) Consistency in constant and changing environments: A note, Discussion Paper No.8711, University of Osnabruck.
Herrero, C. and Subiza, B. (1999) Set-valued utilities for strict partial orders, Journal of Mathematical Psychology, 43, 433–440.
Houthakker, H.S. (1950) Revealed preference and the utility function, Economica, 17, 159–174.
Moulin, H. (1985) Choice functions over a finite set: A summary, Social Choice and Welfare, 2, 147–160.
Richter, M.K. (1971) Rational choice, in Preference, Utility and Demand, J.S. Chipman, L. Hurwicz, M.K. Richter and H.F. Sonnenshein (eds.), Harcourt Brace Jovanovich, New York.
Samuelson, P.A. (1938) A note on the pure theory of consumers behavior, Economica, 5, 61–71, 353–354.
Samuelson, P.A. (1950) The problem of the integrability in utility, Economica, 17(68), 355–385.
Sen, A. (1971) Choice functions and revealed preference, Review of Economic Studies, 38(3), 307–317.
Suzumura, K. (1976) Rational choice and revealed preferences, Review of Economic Studies, 44(1), 38–47.
Suzumura, K. (1977) Houthakker’s axiom in the theory of rational choice, Journal of Economic Theory, 14(2), 284–290.
Suzumura, K. (1983) Rational Choice, Collective Decisions and Social Welfare, Cambridge University Press, Cambridge.
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(2007). Utility Maximization Within a Context-dependent Threshold. In: Utility Maximization, Choice and Preference. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-34183-3_5
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DOI: https://doi.org/10.1007/978-3-540-34183-3_5
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