Advances in Mathematical Economics Volume 8 PDF Download
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Author: S. Kusuoka
Publisher: Springer Science & Business Media
ISBN: 4431308997
Category : Business & Economics
Languages : en
Pages : 481
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Book Description
A lot of economic problems can formulated as constrained optimizations and equilibration of their solutions.Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories. The series is designed to bring together those mathematicians who were seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking for effective mathematical tools for their researchers.
Author: S. Kusuoka
Publisher: Springer Science & Business Media
ISBN: 4431308997
Category : Business & Economics
Languages : en
Pages : 481
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Book Description
A lot of economic problems can formulated as constrained optimizations and equilibration of their solutions.Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories. The series is designed to bring together those mathematicians who were seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking for effective mathematical tools for their researchers.
Author: Akira Yamazaki
Publisher: World Scientific
ISBN: 981448024X
Category : Business & Economics
Languages : en
Pages : 256
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Book Description
This is the very first comprehensive monograph in a burgeoning, new research area — the theory of cooperative game with incomplete information with emphasis on the solution concept of Bayesian incentive compatible strong equilibrium that encompasses the concept of the Bayesian incentive compatible core. Built upon the concepts and techniques in the classical static cooperative game theory and in the non-cooperative Bayesian game theory, the theory constructs and analyzes in part the powerful n-person game-theoretical model characterized by coordinated strategy-choice with individualistic incentives, the influence of outsiders' strategy choice upon the feasibility and implications of coalitional attainability, and incomplete information. The book presents the basic results of this theory. It also presents the research results to date on the simple, but central economic model of Bayesian pure exchange economy, and also on an alternative approach, anonymous coalition formation.The theory presented here points to an important future research direction in economics. In particular, it has the potential to provide game-theoretical foundations of organizational analysis in which organizations (coalitions) as corporations institute a non-market resource allocation mechanism while using the market resource allocation mechanism at the same time.The book provides appraisals of the various concepts, setups and results established to date as well as many discussions on philosophical issues on different approaches in the area, thereby clarifying the applicability and limitations of the current theory. It also contains numerous examples illustrating various concepts and points of discussions.Cooperative Extensions of the Bayesian Game is an essential reference in strategic cooperative game theory, and serves as an informative textbook for PhD courses in advanced economic theory, mathematical economics, game theory, and industrial organization.
Author: Toru Maruyama
Publisher: Springer Science & Business Media
ISBN: 364248719X
Category : Mathematics
Languages : en
Pages : 303
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Book Description
The 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.
Author: Dionysius Glycopantis
Publisher: Springer Science & Business Media
ISBN: 3540269797
Category : Business & Economics
Languages : en
Pages : 656
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Book Description
One of the main problems in current economic theory is to write contracts which are Pareto optimal, incentive compatible, and also implementable as a perfect Bayesian equilibrium of a dynamic, noncooperative game. The question arises whether it is possible to provide Walrasian type or cooperative equilibrium concepts which have these properties. This volume contains original contributions on noncooperative and cooperative equilibrium notions in economies with differential information and provides answers to the above questions. Moreover, issues of stability, learning and continuity of alternative equilibria are also examined.
Author: Robert P. Gilles
Publisher: Springer Science & Business Media
ISBN: 940111370X
Category : Business & Economics
Languages : en
Pages : 329
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Book Description
Imperfections and Behavior in Economic Organizations analyzes the organization of economic decision making in a contemporary setting. The contributors focus on two important aspects of this analysis. First, they address the issue of imperfect or incomplete information and communication in economic organizations and consider imperfections arising from the interaction of the market organization with its environment. Second, the issue of cooperation in a competitive environment is thoroughly analyzed and alternative social trade organizations are designed to dissipate the allocation problems that arise in these situations.
Author: Takashi Suzuki
Publisher: World Scientific
ISBN: 981121963X
Category : Business & Economics
Languages : en
Pages : 436
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Book Description
The aim of this book is to incorporate Marshallian ideas such as external increasing returns and monopolistic competitions into the general equilibrium framework of Walrasian tradition. New chapters and sections have been added to this revised and expanded edition of General Equilibrium Analysis of Production and Increasing Returns (World Scientific, 2009).The new material includes a presentation of equilibrium existence and core equivalence theorems for an infinite horizon economy with a measure space of consumers. These results are currently the focus of extensive studies by mathematical theorists, and are obtained by an application of an advanced mathematical concept called saturated (super-atomless) measure space.The second major change is the inclusion of a simple toy model of a liberal society which implements the difference principle proposed by J Rawls as a principle of distributive justice. This new section opens up a possibility to connect theoretical economics and political philosophy.Thirdly, the author presents the marginal cost pricing equilibrium and discusses welfare properties of the external increasing returns, which also belong to Marshall/ Pigou tradition of the Cambridge school.Finally, a new mathematical appendix treats basics of singular homology theory. Although the fixed point theorem is originally a theorem of algebraic topology, most economic students know its proof only in the context of the differentiable manifold theory presented by J Milnor. Considering the significance of the fixed point theorem and its playing a key role in general equilibrium theory, the purpose of this new appendix is to provide readers with the idea of a proof of Brower's fixed point theorem from the 'right place'.This volume will be helpful for graduate students and researchers of mathematical economics, game theory, and microeconomics.
Author: Peter Bogetoft
Publisher: Springer Science & Business Media
ISBN: 3642486363
Category : Mathematics
Languages : en
Pages : 314
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Book Description
Planning in a general sense is concerned with the design of communication and decision making mechanisms in organizations where information and choice are decentralized. Non-cooperative planning theory as it is developed in this book treats the incentive aspects hereof. It stresses how strategic behavior and opportunism may impede planning, and how this can be coped with via the organization of communication and decision making, the design of information and control systems, and the development of incentive schemes. In particular, the book contains a thorough investigation of incentive provision in information production.
Author: Sergiu Hart
Publisher: Springer Science & Business Media
ISBN: 3642604544
Category : Computers
Languages : en
Pages : 331
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Book Description
Issues relating to the emergence, persistence, and stability of cooperation among social agents of every type are widely recognized to be of paramount importance. They are also analytically difficult and intellectually challenging. This book, arising from a NATO Advanced Study Institute held at SUNY in 1994, is an up-to-date presentation of the contribution of game theory to the subject. The contributors are leading specialists who focus on the problem from the many different angles of game theory, including axiomatic bargaining theory, the Nash program of non-cooperative foundations, game with complete information, repeated and sequential games, bounded rationality methods, evolutionary theory, experimental approaches, and others. Together they offer significant progress in understanding cooperation.
Author: Takashi Suzuki
Publisher: World Scientific
ISBN: 9812833315
Category : Business & Economics
Languages : en
Pages : 285
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Book Description
techniques in this field, such as measure theory, manifold theory and Banach space theory." --Book Jacket.
Author: Toru Maruyama
Publisher: Springer Nature
ISBN: 9811507139
Category : Mathematics
Languages : en
Pages : 333
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Book Description
The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research. A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories.
