Kim C. Border – författare
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5 produkter
5 produkter
Häftad, Engelska, 1989
659 kr
Skickas inom 7-10 vardagar
One of the problems in economics that economists have devoted a considerable amount of attention in prevalent years has been to ensure consistency in the models they employ. Assuming markets to be generally in some state of equilibrium, it is asked under what circumstances such equilibrium is possible. The fundamental mathematical tools used to address this concern are fixed point theorems: the conditions under which sets of assumptions have a solution. This book gives the reader access to the mathematical techniques involved and goes on to apply fixed point theorems to proving the existence of equilibria for economics and for co-operative and noncooperative games. Special emphasis is given to economics and games in cases where the preferences of agents may not be transitive. The author presents topical proofs of old results in order to further clarify the results. He also proposes fresh results, notably in the last chapter, that refer to the core of a game without transitivity. This book will be useful as a text or reference work for mathematical economists and graduate and advanced undergraduate students.
Inbunden, Engelska, 2006
1 082 kr
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This new edition of The Hitchhiker’s Guide has bene?tted from the comments of many individuals, which have resulted in the addition of some new material, and the reorganization of some of the rest. In particular, there is an expanded discussion of support points of convex sets, and a new section on subgradients of convex functions.
Häftad, Engelska, 2007
759 kr
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This new edition of The Hitchhiker’s Guide has bene?tted from the comments of many individuals, which have resulted in the addition of some new material, and the reorganization of some of the rest. In particular, there is an expanded discussion of support points of convex sets, and a new section on subgradients of convex functions.
Del 2 - Studies in Economic Theory
Positive Operators, Riesz Spaces, and Economics
Proceedings of a Conference at Caltech, Pasadena, California, April 16–20, 1990
Inbunden, Engelska, 1991
1 082 kr
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The volume contains the proceedings of a conference in ma-thematical economics held at the California Institute ofTechnology, April 16-20, 1990. The theme of the conferencewas to explore the functional analytic techniques (and inparticular the theory of Riesz spaces and positive opera-tors) that are employed in economics. The articles in thebook depict this important connection and open the way formore economic applications.
Del 2 - Studies in Economic Theory
Positive Operators, Riesz Spaces, and Economics
Proceedings of a Conference at Caltech, Pasadena, California, April 16–20, 1990
Häftad, Engelska, 2012
1 082 kr
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Over the last fifty years advanced mathematical tools have become an integral part in the development of modern economic theory. Economists continue to invoke sophisticated mathematical techniques and ideas in order to understand complex economic and social problems. In the last ten years the theory of Riesz spaces (vector lattices) has been successfully applied to economic theory. By now it is understood relatively well that the lattice structure of Riesz spaces can be employed to capture and interpret several economic notions. On April 16-20, 1990, a small conference on Riesz Spaces, Positive Opera tors, and their Applications to Economics took place at the California Institute of Technology. The purpose of the conference was to bring mathematicians special ized in Riesz Spaces and economists specialized in General Equilibrium together to exchange ideas and advance the interdisciplinary cooperation between math ematicians and economists. This volume is a collection of papers that represent the talks and discussions of the participants at the week-long conference. We take this opportunity to thank all the participants of the conference, especially those whose articles are contained in this volume. We also greatly ap preciate the financial support provided by the California Institute of Technology. In particular, we express our sincerest thanks to David Grether, John Ledyard, and David Wales for their support. Finally, we would like to thank Susan Davis, Victoria Mason, and Marge D'Elia who handled the delicate logistics for the smooth running of the confer ence.