Journal ArticleDOI
Revelations of a gambler
TLDR
In this article, the revealed preference question was studied in the simple case of a two-element (H and T ) state space, and it was shown that the possible revelations of P T / P H are precisely those of the form P T/P H e ∪ K k = 1 (γ k, δ k ) for some algebraic numbers γ k,δ k.About:
This article is published in Journal of Mathematical Economics.The article was published on 1978-12-01. It has received 7 citations till now. The article focuses on the topics: Simple (abstract algebra).read more
Citations
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Journal ArticleDOI
Subjective expected utility: A review of normative theories
TL;DR: In this paper, a review of subjective expected utility for decision making under uncertainty is presented, focusing on normative interpretations and discusses the primitives, axioms and representation uniqueness theorems for a number of theories.
Book ChapterDOI
Samuelson and Consumption Theory
TL;DR: In this paper, the authors take up two branches of consumption theory that stem from quite different traditions: revealed preference and the integrability problem and the measurement of individual welfare, and show how Samuelson's contributions have led to a complete transformation of thought in both branches and have laid the basis for a synthesis of the two, allowing for the construction of utility functions and welfare measures that are firmly based on market observations of individual demand behavior.
Journal ArticleDOI
A model for ordinally constructing additive objective functions
TL;DR: The method for constructing piecewise-linear approximations of an additive objective function in n target variables from a few indifference points in two-dimensional planes is investigated and the limit ordinal preference is independent of the cardinal utility scale used in intermediate computations.
Journal ArticleDOI
Observable probabilistic beliefs
TL;DR: In this article, conditions under which an agent's asset demand correspondence can be used to recover without ambiguity his subjective joint distribution of returns of the various assets and/or his von Neumann-Morgenstern cardinal utility index are examined under the assumption that asset markets are possibly incomplete.
References
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Book
An Introduction to the Theory of Numbers
TL;DR: The fifth edition of the introduction to the theory of numbers has been published by as discussed by the authors, and the main changes are in the notes at the end of each chapter, where the author seeks to provide up-to-date references for the reader who wishes to pursue a particular topic further and to present a reasonably accurate account of the present state of knowledge.
Journal ArticleDOI
A Note on the Pure Theory of Consumer's Behaviour
TL;DR: For example, the authors argues that the most modern theory confines itself to an analysis of indifference elements, budgetary equilibrium being defined by equivalence of price ratios to respective indifference slopes, which is circular or to many people inadmissible.
Journal ArticleDOI
Consumption Theory in Terms of Revealed Preference
TL;DR: Little as mentioned in this paper showed that if enough judiciously selected price-quantity situations are available for two goods, a locus which is the precise equivalent of the conventional indifference curve can be defined.
Journal ArticleDOI
Measurement structures and linear inequalities
TL;DR: In this article, the general mathematical criterion for the solvability of finite systems of linear inequalities is applied to some specific situations from measurement theory, and the necessary and sufficent conditions for existence of a suitable real-valued (utility) function on a finite structure are obtained.