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Mathematical Economics

Cambridge University Press (1985)

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  1. Derivational robustness, credible substitute systems and mathematical economic models: the case of stability analysis in Walrasian general equilibrium theory.D. Wade Hands - 2016 - European Journal for Philosophy of Science 6 (1):31-53.
    This paper supports the literature which argues that derivational robustness can have epistemic import in highly idealized economic models. The defense is based on a particular example from mathematical economic theory, the dynamic Walrasian general equilibrium model. It is argued that derivational robustness first increased and later decreased the credibility of the Walrasian model. The example demonstrates that derivational robustness correctly describes the practices of a particular group of influential economic theorists and provides support for the arguments of philosophers who (...)
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  • Aristotle’s Difficult Relationship With Modern Economic Theory.Spencer J. Pack - 2008 - Foundations of Science 13 (3-4):265-280.
    This paper reviews Aristotle’s problematic relationship with modern economic theory. It argues that in terms of value and income distribution theory, Aristotle should probably be seen as a precursor to neither classical nor neoclassical economic thought. Indeed, there are strong arguments to be made that Aristotle’s views are completely at odds with all modern economic theory, since, among other things, he was not necessarily concerned with flexible market prices, opposed the use of money to acquire more money, and did not (...)
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  • Order extensions, budget correspondences, and rational choice.Susanne Fuchs-Seliger - 2012 - Theory and Decision 72 (4):431-444.
    This article is concerned with extensions of a continuous ordering R on a set X to a subset P of the power set of X. The underlying topology will be the Hausdorff metric topology. We will see that continuous extensions of R do not require that P contain every nonempty finite subset of X. Therefore, the analysis can be applied to consumer theory and inverse choice functions. In analogy to these functions budget correspondences are established which relate alternatives x with (...)
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