Some Noncooperative Game Models of Exchange
Author: David Leo Housman
Publisher:
Published: 1983
Total Pages: 244
ISBN-13:
DOWNLOAD EBOOKPosts
Noncooperative General Exchange with a Continuum of Traders
Author: Pradeep Dubey
Publisher:
Published: 1992
Total Pages: 49
ISBN-13:
DOWNLOAD EBOOKDynamic Noncooperative Game Theory
Author: Tamer Basar
Publisher: SIAM
Published: 1999-01-01
Total Pages: 534
ISBN-13: 9781611971132
DOWNLOAD EBOOKRecent interest in biological games and mathematical finance make this classic 1982 text a necessity once again. Unlike other books in the field, this text provides an overview of the analysis of dynamic/differential zero-sum and nonzero-sum games and simultaneously stresses the role of different information patterns. The first edition was fully revised in 1995, adding new topics such as randomized strategies, finite games with integrated decisions, and refinements of Nash equilibrium. Readers can now look forward to even more recent results in this unabridged, revised SIAM Classics edition. Topics covered include static and dynamic noncooperative game theory, with an emphasis on the interplay between dynamic information patterns and structural properties of several different types of equilibria; Nash and Stackelberg solution concepts; multi-act games; Braess paradox; differential games; the relationship between the existence of solutions of Riccati equations and the existence of Nash equilibrium solutions; and infinite-horizon differential games.
Adjustment Processes for Exchange Economies and Noncooperative Games
Author: Antoon van den Elzen
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 155
ISBN-13: 3642481337
DOWNLOAD EBOOKThis monograph is a treatise on adjustment processes. We consider price adjustment processes in exchange economies and strategy adjustment processes in noncooperative games. In the most simple version of an exchange economy, i.e. a pure exchange economy, there exist markets on which prices are determined by the demand and supply created by a finite number of consumers willing to exchange their initial endowments in order to maximize their utilities. An equilibrium situation is attained if, for some price vector, demand equals supply in all markets. Starting from a situation not being an equi librium an adjustment process reaches an equilibrium via adaptations of prices. The advantage of the adjustment processes we will present in this monograph is that they exist and converge under far weaker assumptions than existing processes. The second subject concerns the problem of finding Nash equilibria in noncooperative games. A Nash equilibrium is a situation from which no player can improve his position by unilaterally changing his strategy. We present a new algorithm for finding such equilibria. The sequence of stra tegy vectors generated by the algorithm can be interpreted as the path followed by a strategy adjustment process.
An Introductory Course on Mathematical Game Theory
Author: Julio González-Díaz
Publisher: American Mathematical Society
Published: 2021-10-22
Total Pages: 324
ISBN-13: 1470465736
DOWNLOAD EBOOKGame theory provides a mathematical setting for analyzing competition and cooperation in interactive situations. The theory has been famously applied in economics, but is relevant in many other sciences, such as political science, biology, and, more recently, computer science. This book presents an introductory and up-to-date course on game theory addressed to mathematicians and economists, and to other scientists having a basic mathematical background. The book is self-contained, providing a formal description of the classic game-theoretic concepts together with rigorous proofs of the main results in the field. The theory is illustrated through abundant examples, applications, and exercises. The style is distinctively concise, while offering motivations and interpretations of the theory to make the book accessible to a wide readership. The basic concepts and results of game theory are given a formal treatment, and the mathematical tools necessary to develop them are carefully presented. Cooperative games are explained in detail, with bargaining and TU-games being treated as part of a general framework. The authors stress the relation between game theory and operations research. The book is suitable for a graduate or an advanced undergraduate course on game theory.
The Endogenous Formation of Economic Coalitions
Author: Carlo Carraro
Publisher: Edward Elgar Publishing
Published: 2003-01-01
Total Pages: 274
ISBN-13: 9781781009888
DOWNLOAD EBOOKSome of the specific topics addressed include: advances in the theory of large co-operative games; non co-operative models of coalition formation; a survey of the partition function in the formation of coalitions; far-sightedness in coalition formation; coalition stability; coalition formation in industrialized economics, trade theory, environmental economics and public finance.
The Theory of Money and Financial Institutions
Author: Martin Shubik
Publisher: MIT Press
Published: 1999
Total Pages: 472
ISBN-13: 9780262693110
DOWNLOAD EBOOKThis first volume in a three-volume exposition of Shubik's vision of "mathematical institutional economics" explores a one-period approach to economic exchange with money, debt, and bankruptcy. This is the first volume in a three-volume exposition of Martin Shubik's vision of "mathematical institutional economics"--a term he coined in 1959 to describe the theoretical underpinnings needed for the construction of an economic dynamics. The goal is to develop a process-oriented theory of money and financial institutions that reconciles micro- and macroeconomics, using as a prime tool the theory of games in strategic and extensive form. The approach involves a search for minimal financial institutions that appear as a logical, technological, and institutional necessity, as part of the "rules of the game." Money and financial institutions are assumed to be the basic elements of the network that transmits the sociopolitical imperatives to the economy. Volume 1 deals with a one-period approach to economic exchange with money, debt, and bankruptcy. Volume 2 explores the new economic features that arise when we consider multi-period finite and infinite horizon economies. Volume 3 will consider the specific role of financial institutions and government, and formulate the economic financial control problem linking micro- and macroeconomics.
Game Theory and Public Policy
Author: Roger A. McCain
Publisher: Edward Elgar Publishing
Published: 2010
Total Pages: 269
ISBN-13: 1849802203
DOWNLOAD EBOOKGame theory is useful in understanding collective human activity as the outcome of interactive decisions. In recent years it has become a more prominent aspect of research and applications in public policy disciplines such as economics, philosophy, management and political science, and in work within public policy itself. Here Roger McCain makes use of the analytical tools of game theory with the pragmatic purpose of identifying problems and exploring potential solutions in public policy. In practice, the influence of game theory on public policy and related disciplines has been less a consequence of broad theorems than of insightful examples. Accordingly, the author offers a critical review of major topics from both cooperative and noncooperative game theory, including less-known ideas in noncooperative game theory and constructive proposals for new approaches. In so doing, he provides a toolkit for the analysis of public policy as well as a clearer understanding of the public policy enterprise itself. The author s unique approach and treatment of game theory will be a useful resource for students and scholars of economics and public policy, as well as for policymakers themselves.
Nonlinear and Convex Analysis in Economic Theory
Author: Toru Maruyama
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 303
ISBN-13: 364248719X
DOWNLOAD EBOOKThe papers collected in this volume are contributions to T.I.Tech./K.E.S. Conference on Nonlinear and Convex Analysis in Economic Theory, which was held at Keio University, July 2-4, 1993. The conference was organized by Tokyo Institute of Technology (T. I. Tech.) and the Keio Economic Society (K. E. S.) , and supported by Nihon Keizai Shimbun Inc .. A lot of economic problems can be formulated as constrained optimiza tions and equilibrations of their solutions. Nonlinear-convex analysis has been supplying economists with indispensable mathematical machineries for these problems arising in economic theory. Conversely, mathematicians working in this discipline of analysis have been stimulated by various mathematical difficulties raised by economic the ories. Although our special emphasis was laid upon "nonlinearity" and "con vexity" in relation with economic theories, we also incorporated stochastic aspects of financial economics in our project taking account of the remark able rapid growth of this discipline during the last decade. The conference was designed to bring together those mathematicians who were seriously interested in getting new challenging stimuli from economic theories with those economists who were seeking for effective mathematical weapons for their researches. Thirty invited talks (six of them were plenary talks) given at the conf- ence were roughly classified under the following six headings : 1) Nonlinear Dynamical Systems and Business Fluctuations, . 2) Fixed Point Theory, 3) Convex Analysis and Optimization, 4) Eigenvalue of Positive Operators, 5) Stochastic Analysis and Financial Market, 6) General Equilibrium Analysis.
Causal and Stochastic Elements in Business Cycles
Author: Arvid Aulin
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 132
ISBN-13: 3642957382
DOWNLOAD EBOOKA critical examination of The prevailing orthodoxy according to which all macroeconomic theory should be reducible to microeconomics. The book provides a mathematical extension of the Lucas theory to allow for the effects of creation of knowledge upon economic development so as to improve the prediction of business cycle data.
