http://repub.eur.nl/res/aut/14104/ List of Publications en http://repub.eur.nl/static-eur/img/logo.png http://repub.eur.nl http://repub.eur.nl/res/pub/11055/ 1998-01-01T00:00:00Z This paper studies the implications of the "zero-condition" for multiattribute utility theory. The zero-condition simplifies the measurement and derivation of the Quality Adjusted Life Year (QALY) measure commonly used in medical decision analysis. For general multiattribute utility theory, no simple condition has heretofore been found to characterize multiplicatively decomposable forms. When the zero-condition is satisfied, however, such a simple condition, "standard gamble invariance," becomes available. http://repub.eur.nl/res/pub/23101/ 1996-12-01T00:00:00Z A method is given to extend demand functions to new commodities under preservation of the cycle number, i.e. the minimal length of a preference cycle revealed by the demand function. Thus, Gale's (Economica, N.S., 1960, 27, 348–354) demand function that shows that the weak axiom of revealed preference does not imply the strong axiom of revealed preference for three commodities can be extended to more than three commodities. Also Shafer's (Journal of Economic Theory, 1977, 16, 293–309) result, that arbitrarily high cycle numbers exist for three commodities, can now be extended to any number of commodities larger than three. This completely settles a question raised by Samuelson (Economica, N.S., 1953, 20, 1–9). http://repub.eur.nl/res/pub/23129/ 1994-02-01T00:00:00Z The only examples available in the literature to show that the Weak Axiom of Revealed Preference does not imply the Strong Axiom of Revealed Preference, the examples of Gale and Shafer, apply only to the case of three commodities. This paper constructs examples for four or more commodities. http://repub.eur.nl/res/pub/23217/ 1991-11-01T00:00:00Z http://repub.eur.nl/res/pub/15583/ 1989-09-01T00:00:00Z A simple model is constructed to show how partial vertical integration may emerge as an equilibrium market structure in a world characterized by rationing, differences in the reservation prices of buyers, and in the risk attitudes of buyers and sellers. The buyers with the high reservation prices turn out to be vertically integrated. http://repub.eur.nl/res/pub/23240/ 1987-01-01T00:00:00Z It is shown that a convex function, defined on an arbitrary, possibly finite, subset of a linear space, can be extended to the whole space. An application to decision making under risk is given. http://repub.eur.nl/res/pub/23244/ 1987-01-01T00:00:00Z http://repub.eur.nl/res/pub/11817/ 1983-01-01T00:00:00Z Bargaining solutions are considered which have the following four properties: individual rationality, Pareto optimality, independence of equivalent utility representations, and independence of irrelevant alternatives. A main result of this paper is a simple proof of the fact that all such bargaining solutions are risk sensitive. Further a description is given of all bargaining solutions satisfying the four mentioned properties. Finally, a continuous bargaining solution, satisfying the first three properties, is given which is not risk sensitive.