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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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Functional Structure and the Allen Partial Elasticities of Substitution: An Application of Duality Theory

TL;DR: In this paper, a sufficient condition for the equality of pairs of Allen partial elasticity of substitution (AES) is provided. But the condition is not sufficient and sufficient for all pairs of AES.
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Continuous nontransitive additive conjoint measurement

TL;DR: In this article, a nontransitive generalization of additively separable utility for preference on multiattribute outcomes is proposed, which requires at least three factors or attributes, retains the essential independence aspect of additive conjoint measurement, and makes no assumption about transitive preferences.
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Modelling pairwise comparisons on ratio scales

TL;DR: This model provides a mathematical explanation for the phenomena of intransitivity and inconsistency that sometimes appear in situations involving scoring on a subjective/qualitative domain and develops methods for generating consistent intervals on ratio scales.
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Purely Subjective Maxmin Expected Utility

TL;DR: This paper presents axioms for a derivation of the maxmin decision rule in a purely subjective setting, where acts map states to points in a connected topological space, and does not assume the von Neumann and Morgenstern expected utility model for decision under risk.
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A Generalization of Pratt-Arrow Measure to Nonexpected-Utility Preferences and Inseparable Probability and Utility

TL;DR: The Pratt-Arrow measure of local risk aversion is generalized for then-dimensional state-preference model of choice under uncertainty in which the decision maker may have inseparable subjective probabilities and utilities, unobservable stochastic prior wealth, and/or smooth nonexpected-utility preferences.