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1993, Economics Letters
The directional derivative of the Uzawa-Epstein utility functional gives rise to Epstein's generating function. The function has two important attributes: its partial derivatives, when discounted, yield directly the marginal utilities, while it also serves as a generator of preferences.
Mathematical Methods of Operational Research
Generalized benefit functions and measurement of utility2004 •
Academia.edu
The Mathematical Underpinnings of Utility Functions and their Broader Implications on Game Theory2020 •
The predominating objective of this short paper is to lay forth a series of results derived from the optimization of canonical utility and indifference functions (insofar as they are used conventionally), and then analogizing them in the context of payoffs. It concerns the categorizations of utility functions, indifference curves and other analytical constraints. To commence, it draws a generalization as to how utilities change with regards to marginal rates of substitution. Following this, it invokes a series of arguments as to how they can be maximized in both univariate and multivariate states.
Monatshefte für Mathematik
Functional Characterizations of Basic Properties of Utility Representations2002 •
2010 •
In this note we analyze the relationship between the properties of von Neumann-Morgenstern utility functions and expected utility functions. More precisely, we investigate which of the regularity and concavity assumptions usually imposed on the latter transfer to the former and vice versa. In particular we obtain that, in order for the expected utility functions to fulfill such classical properties, it
Economics Letters
A weak utility function for acyclic preferences1995 •
ELSEVIER Economics Letters 48 (1995) 2124 economics letters A weak utility function for acyclic preferences Josep E. Peris*, Begofia Subiza Department of Economics, University of Alicante, Alicante 03080, Spain Received 13 June 1994; accepted 12 July 1994 Abstract ...
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