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Conclusion

  • Fuad Aleskerov
  • Bernard Monjardet
Chapter
  • 147 Downloads
Part of the Studies in Economic Theory book series (ECON.THEORY, volume 16)

Abstract

Our endeavour to provide a systematic view of the utility within a threshold maximization paradigm and its relations with preference and choice models has been completed. Throughout this study we considered the rational choice paradigm defined by maximization of a utility within a threshold, i.e., presented in the form
$$C(X) = \{ y \in X|\nexists x \in X{\mkern 1mu} such that{\mkern 1mu} u(x) - u(y) > \varepsilon \} $$
(6.1)
where the threshold ε is given in the forms
$$ a)\,\varepsilon = 0,$$
$$ b)\,\varepsilon = constant, $$
$$c)\,\varepsilon = \varepsilon (x), $$
$$ d)\,\varepsilon = \varepsilon (x,y), $$
$$e)\,\varepsilon = \varepsilon (X), $$
$$f)\,\varepsilon = \varepsilon (x,y,X), $$
.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Fuad Aleskerov
    • 1
  • Bernard Monjardet
    • 2
  1. 1.Institute of Control SciencesMoskowRussia
  2. 2.CERMSEMMSE - Université de Paris IParis Cedex 13France

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