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Mathematical Economics: Topological methods in cardinal utility theory

Gerard Debreu
- 01 Jul 1983 - 
- pp 120-132
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This article is published in Research Papers in Economics.The article was published on 1983-07-01 and is currently open access. It has received 727 citations till now. The article focuses on the topics: Cardinal utility.

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History of consumer demand theory 1871-1971: A Neo-Kantian rational reconstruction

TL;DR: The authors examines the history of the neoclassical theory of consumer demand from 1871 to 1971 by bringing into play the knowledge theory of the Marburg School, a Neo-Kantian philosophical movement.

A Class of Multi-Prior Preferences

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State Dependent Expected Utility for Savage's State Space

TL;DR: In this article, the authors generalize the Debreu/Gorman characterization of additively decomposable functionals and separable preferences to infinite dimensions and provide a state-dependent extension of Savage's expected utility.
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On the extension of additive utilities to infinite sets

TL;DR: In this article, a necessary and sufficient condition for the existence of an additive utility on a finite subset X of a Cartesian product is derived, interpreted as both an independence and Archimedean condition.
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Additive differences and simple preference comparisons

TL;DR: In this article, two axiomatizations of the multi-attribute additive difference representation of preferences are presented, one using topological assumptions to obtain a continuous representation; the other using a more general algebraic structure.