Suchergebnisse

Examined are the implications for social welfare functions of restricting the domain of individual preferences to type-one preferences, which assume that each person has a most preferred alternative in a euclidean space, & that alternatives are ranked according to their euclidean distance from this point. The result is that if one imposes K. J. Arrow's (Social Choice and Individual Values, 2nd edition, New Haven: Yale U Press, 1963) conditions of collective rationality, IIA, & the Pareto principle on the social welfare function, then it must be dictatorial. This result may not seem surprising, but it stands in marked contrast to the problem considered by A. Gibbard ("Manipulation of Voting Schemes: A General Result," Econometrica, 1973, 41, 587-601) & M. A. Satterthwaite ("Strategy-Proofness and Arrow's Conditions: Existence and Correspondence Theorems for Voting Procedures and Social Welfare Functions," Journal of Economic Theory, 1975, 10, 187-217) of finding a social-choice function. With unrestricted domain, under the Gibbard-Satterthwaite hypotheses, choices must be dictatorial. With type-one preferences, this result has been previously shown to not be true. This finding identifies a significant difference between the Arrow & Gibbard-Satterthwaite problems. 7 Figures, 18 References. Modified HA.

Presents a study of modern functional analysis. This book is intended for the student or researcher who could benefit from functional analytic methods. It develops the topological structures in connection with measure theory, convexity, Banach lattices, integration, correspondences (multifunctions), and the analytic approach to Markov processes

This book is intended for the student or researcher who could benefit from functional analytic methods, but who does not have an extensive background and does not plan to make a career as a functional analyst. It develops topology, convexity, Banach lattices, integration, correspondences (multifunctions), and the analytic approach to Markov processes. Many of the results were previously available only in esoteric monographs. The choice of material was motivated from problems in control theory and economics, although the material is more applicable than applied

The volume contains the proceedings of a conference in ma- thematical economics held at the California Institute of Technology, April 16-20, 1990.The theme of the conference was to explore the functional analytic techniques (and in particular the theory of Riesz spaces and positive opera- tors) that are employed in economics. The articles in the book depict this important connection and open the way for more economic applications