Equivalents of various maximum principles

On the Existence of Certainty Equivalents of Various Relevant Types

We tackle the problem of associating certainty equivalents with preferences over stochastic situations, which arises in a number of different fields (e.g., the theory of risk attitudes or the analysis of stochastic cooperative games). We study the possibility of endowing such preferences with certainty equivalence functionals that satisfy relevant requirements (such as positive homogeneity, tra...

Maximum Principles at Infinity

We prove a general maximum principle at infinity for properly immersed minimal surfaces with boundary in R. An important corollary of this maximum principle at infinity is the existence of a fixed sized regular neighborhood for any properly embedded minimal surface of bounded curvature.

Certainty Equivalents and Information Measures: Duality and Extremal Principles

Given a convex function φ : IR+ → IR, the Csiszár φdivergence (Csiszár (1978)) is a function Iφ : IR+×IR n + → IR, Iφ(p,q) := n ∑

Maximum principles in analytical economics.

The very name of my subject, economics, suggests economizing or maximizing. But Political Economy has gone a long way beyond home economics. Indeed, it is only in the last third of the century, within my own lifetime as a scholar, that economic theory has had many pretensions to being itself useful to the practical businessman or bureaucrat. I seem to recall that a great economist of the last g...

The comparison of various club guessing principles