This paper illustrates the methodological and analytical issues that characterized, as well as the personal and institutional aspects that informed the discussions leading to the definition of the current notion of cardinal utility as utility unique up to positive linear transformations. As...

The paper illustrates the methodological and analytical issues that characterized, as well as the personal and institutional aspects that informed the discussions leading to the definition of the current notion of cardinal utility as utility unique up to positive linear transformations. As...

We characterize optimal consumption policies in a recursive intertemporal utility framework with local substitution. We establish existence and uniqueness and a version of the Kuhn-Tucker theorem characterizing the optimal consumption plan. An explicit solution is provided for the case when the...

We show that all the fundamental properties of competitive equilibrium in Marshall's cardinal theory of value, as presented in Note XXI of the mathematical appendix to his Principles of Economics (1890), derive from the Strong Law of Demand. That is, existence, uniqueness, optimality, and global...

It is widely held that under ordinal utility, utility differences are ill-defined. Allegedly, for these to be well-defined (without turning to choice under risk or the like), one should adopt as a new kind of primitive quaternary relations, instead of the traditional binary relations underlying...

We solve Ireland's (1994) conspicuous consumption model (where social-status concerns are introduced into the utility function) for Cobb-Douglas (CD) utility. In the resulting generalized CD consumer model, Engel curves are no longer limited to linearity. In the homothetic CD case, total...

In the study of Giffen behavior or "Giffenity", there remains a paradox. On one hand, the Wold-Juréen (Demand analysis: A study in Econometrics, 1953) utility function has been touted as the progenitor of a multi-decade search for those two-good, particular utility functions, which exhibit...

In the study of Giffen behavior or "Giffenity", there remains a paradox. On the one hand, the Wold-Juréen (1953) utility function has been touted as the progenitor of a multi-decade search for those two-good, particular utility functions, which exhibit Giffenity. On the other hand, there is no...

The paper contrasts early theories of the utility function (starting with Bentham and elaborated by Jevons) with the modern theory (laid down by Fisher and Samuelson).  The former include in the utility function not only the sensation of current events but also the memory of past events and the...