Author: P. Jean-Jacques Herings
Publisher: Springer Science & Business Media
ISBN: 1461562511
Category : Business & Economics
Languages : en
Pages : 509
Book Description
Mathematical economics uses mathematical tools and reasoning to describe and explain economic reality. At the core of mathematical economics is general equilibrium theory. Static and Dynamic Aspects of General Disequilibrium Theory describes and analyses various general equilibrium models, treating theory from an axiomatic point of view, which may lead to a deeper understanding of problems, may help to avoid incorrect reasoning, and may improve communication within the economic science. This volume consists of four parts, each of which is self-contained. Part I deals with the mathematical and economic preliminaries. Part II considers the static aspects of disequilibrium theory. Part III determines price rigidities endogenously. Finally, Part IV deals with dynamic aspects of disequilibrium theory.
Static and Dynamic Aspects of General Disequilibrium Theory
Author: P. Jean-Jacques Herings
Publisher: Springer Science & Business Media
ISBN: 1461562511
Category : Business & Economics
Languages : en
Pages : 509
Book Description
Mathematical economics uses mathematical tools and reasoning to describe and explain economic reality. At the core of mathematical economics is general equilibrium theory. Static and Dynamic Aspects of General Disequilibrium Theory describes and analyses various general equilibrium models, treating theory from an axiomatic point of view, which may lead to a deeper understanding of problems, may help to avoid incorrect reasoning, and may improve communication within the economic science. This volume consists of four parts, each of which is self-contained. Part I deals with the mathematical and economic preliminaries. Part II considers the static aspects of disequilibrium theory. Part III determines price rigidities endogenously. Finally, Part IV deals with dynamic aspects of disequilibrium theory.
Publisher: Springer Science & Business Media
ISBN: 1461562511
Category : Business & Economics
Languages : en
Pages : 509
Book Description
Mathematical economics uses mathematical tools and reasoning to describe and explain economic reality. At the core of mathematical economics is general equilibrium theory. Static and Dynamic Aspects of General Disequilibrium Theory describes and analyses various general equilibrium models, treating theory from an axiomatic point of view, which may lead to a deeper understanding of problems, may help to avoid incorrect reasoning, and may improve communication within the economic science. This volume consists of four parts, each of which is self-contained. Part I deals with the mathematical and economic preliminaries. Part II considers the static aspects of disequilibrium theory. Part III determines price rigidities endogenously. Finally, Part IV deals with dynamic aspects of disequilibrium theory.
Static and dynamic aspects of general disequilibrium theory
Author: P. Jean-Jacques Herings
Publisher:
ISBN: 9789056680015
Category : Equilibrium (Economics)
Languages : en
Pages : 443
Book Description
Publisher:
ISBN: 9789056680015
Category : Equilibrium (Economics)
Languages : en
Pages : 443
Book Description
Differential Topology and General Equilibrium with Complete and Incomplete Markets
Author: Antonio Villanacci
Publisher: Springer Science & Business Media
ISBN: 1475736193
Category : Mathematics
Languages : en
Pages : 495
Book Description
General equilibrium In this book we try to cope with the challenging task of reviewing the so called general equilibrium model and of discussing one specific aspect of the approach underlying it, namely, market completeness. With the denomination "general equilibrium" (from now on in short GE) we shall mainly refer to two different things. On one hand, in particular when using the expression "GE approach", we shall refer to a long established methodolog ical tradition in building and developing economic models, which includes, as of today, an enormous amount of contributions, ranging in number by several 1 thousands • On the other hand, in particular when using the expression "stan dard differentiable GE model", we refer to a very specific version of economic model of exchange and production, to be presented in Chapters 8 and 9, and to be modified in Chapters 10 to 15. Such a version is certainly formulated within the GE approach, but it is generated by making several quite restrictive 2 assumptions • Even to list and review very shortly all the collective work which can be ascribed to the GE approach would be a formidable task for several coauthors in a lifetime perspective. The book instead intends to address just a single issue. Before providing an illustration of its main topic, we feel the obligation to say a word on the controversial character of GE. First of all, we should say that we identify the GE approach as being based 3 on three principles .
Publisher: Springer Science & Business Media
ISBN: 1475736193
Category : Mathematics
Languages : en
Pages : 495
Book Description
General equilibrium In this book we try to cope with the challenging task of reviewing the so called general equilibrium model and of discussing one specific aspect of the approach underlying it, namely, market completeness. With the denomination "general equilibrium" (from now on in short GE) we shall mainly refer to two different things. On one hand, in particular when using the expression "GE approach", we shall refer to a long established methodolog ical tradition in building and developing economic models, which includes, as of today, an enormous amount of contributions, ranging in number by several 1 thousands • On the other hand, in particular when using the expression "stan dard differentiable GE model", we refer to a very specific version of economic model of exchange and production, to be presented in Chapters 8 and 9, and to be modified in Chapters 10 to 15. Such a version is certainly formulated within the GE approach, but it is generated by making several quite restrictive 2 assumptions • Even to list and review very shortly all the collective work which can be ascribed to the GE approach would be a formidable task for several coauthors in a lifetime perspective. The book instead intends to address just a single issue. Before providing an illustration of its main topic, we feel the obligation to say a word on the controversial character of GE. First of all, we should say that we identify the GE approach as being based 3 on three principles .
The Consistent Preferences Approach to Deductive Reasoning in Games
Author: Geir B. Asheim
Publisher: Springer Science & Business Media
ISBN: 0387262377
Category : Mathematics
Languages : en
Pages : 203
Book Description
During the last decade I have explored the consequences of what I have chosen to call the 'consistent preferences' approach to deductive reasoning in games. To a great extent this work has been done in coop eration with my co-authors Martin Dufwenberg, Andres Perea, and Ylva Sovik, and it has lead to a series of journal articles. This book presents the results of this research program. Since the present format permits a more extensive motivation for and presentation of the analysis, it is my hope that the content will be of interest to a wider audience than the corresponding journal articles can reach. In addition to active researcher in the field, it is intended for graduate students and others that wish to study epistemic conditions for equilibrium and rationalizability concepts in game theory. Structure of the book This book consists of twelve chapters. The main interactions between the chapters are illustrated in Table 0.1. As Table 0.1 indicates, the chapters can be organized into four dif ferent parts. Chapters 1 and 2 motivate the subsequent analysis by introducing the 'consistent preferences' approach, and by presenting ex amples and concepts that are revisited throughout the book. Chapters 3 and 4 present the decision-theoretic framework and the belief operators that are used in later chapters. Chapters 5, 6, 10, and 11 analyze games in the strategic form, while the remaining chapters-Chapters 7, 8, 9, and 12-are concerned with games in the extensive form.
Publisher: Springer Science & Business Media
ISBN: 0387262377
Category : Mathematics
Languages : en
Pages : 203
Book Description
During the last decade I have explored the consequences of what I have chosen to call the 'consistent preferences' approach to deductive reasoning in games. To a great extent this work has been done in coop eration with my co-authors Martin Dufwenberg, Andres Perea, and Ylva Sovik, and it has lead to a series of journal articles. This book presents the results of this research program. Since the present format permits a more extensive motivation for and presentation of the analysis, it is my hope that the content will be of interest to a wider audience than the corresponding journal articles can reach. In addition to active researcher in the field, it is intended for graduate students and others that wish to study epistemic conditions for equilibrium and rationalizability concepts in game theory. Structure of the book This book consists of twelve chapters. The main interactions between the chapters are illustrated in Table 0.1. As Table 0.1 indicates, the chapters can be organized into four dif ferent parts. Chapters 1 and 2 motivate the subsequent analysis by introducing the 'consistent preferences' approach, and by presenting ex amples and concepts that are revisited throughout the book. Chapters 3 and 4 present the decision-theoretic framework and the belief operators that are used in later chapters. Chapters 5, 6, 10, and 11 analyze games in the strategic form, while the remaining chapters-Chapters 7, 8, 9, and 12-are concerned with games in the extensive form.
Equilibrium, Markets and Dynamics
Author: Cars H. Hommes
Publisher: Springer Science & Business Media
ISBN: 3642561314
Category : Business & Economics
Languages : en
Pages : 344
Book Description
This book contains essays in honour of Claus Weddepohl who, after 22 years, is retiring as professor of mathematical economics at the Department of Quantitative Economics of the University of Amsterdam. Claus Weddepohl may be viewed as th~ first Dutch mathematical economist in the general equi librium tradition of Arrow, Debreu and Hahn. The essays in this book are centered around the themes Equilibrium, Markets and Dynamics, that have been at the heart of Weddepohl's work on mathematical economics for more than three decades. The essays have been classified according to these three themes. Admittedly such a classification always is somewhat arbitrary, and most essays would in fact fit into two or even all three themes. The essays have been written by international as well as Dutch friends and colleagues including Weddepohl's former Ph. D. students. The book starts with a review of Claus Weddepohl's work by Roald Ramer, who has been working with him in Amsterdam for all those years. The review describes how Weddepohl became fascinated by general equilibrium theory in the early stages of his career, how he has been working on the theory of markets throughout his career, and how he turned to applications of nonlinear dynamics to price adjustment processes in a later stage of his career. The first part of the book, Equilibrium, collects essays with general equilib rium theory as the main theme.
Publisher: Springer Science & Business Media
ISBN: 3642561314
Category : Business & Economics
Languages : en
Pages : 344
Book Description
This book contains essays in honour of Claus Weddepohl who, after 22 years, is retiring as professor of mathematical economics at the Department of Quantitative Economics of the University of Amsterdam. Claus Weddepohl may be viewed as th~ first Dutch mathematical economist in the general equi librium tradition of Arrow, Debreu and Hahn. The essays in this book are centered around the themes Equilibrium, Markets and Dynamics, that have been at the heart of Weddepohl's work on mathematical economics for more than three decades. The essays have been classified according to these three themes. Admittedly such a classification always is somewhat arbitrary, and most essays would in fact fit into two or even all three themes. The essays have been written by international as well as Dutch friends and colleagues including Weddepohl's former Ph. D. students. The book starts with a review of Claus Weddepohl's work by Roald Ramer, who has been working with him in Amsterdam for all those years. The review describes how Weddepohl became fascinated by general equilibrium theory in the early stages of his career, how he has been working on the theory of markets throughout his career, and how he turned to applications of nonlinear dynamics to price adjustment processes in a later stage of his career. The first part of the book, Equilibrium, collects essays with general equilib rium theory as the main theme.
Raising Keynes
Author: Stephen A. Marglin
Publisher: Harvard University Press
ISBN: 0674971027
Category : Business & Economics
Languages : en
Pages : 921
Book Description
Back to the future: a heterodox economist rewrites Keynes's General Theory of Employment, Interest, and Money to serve as the basis for a macroeconomics for the twenty-first century. John Maynard Keynes's General Theory of Employment, Interest, and Money was the most influential economic idea of the twentieth century. But, argues Stephen Marglin, its radical implications were obscured by Keynes's lack of the mathematical tools necessary to argue convincingly that the problem was the market itself, as distinct from myriad sources of friction around its margins. Marglin fills in the theoretical gaps, revealing the deeper meaning of the General Theory. Drawing on eight decades of discussion and debate since the General Theory was published, as well as on his own research, Marglin substantiates Keynes's intuition that there is no mechanism within a capitalist economy that ensures full employment. Even if deregulating the economy could make it more like the textbook ideal of perfect competition, this would not address the problem that Keynes identified: the potential inadequacy of aggregate demand. Ordinary citizens have paid a steep price for the distortion of Keynes's message. Fiscal policy has been relegated to emergencies like the Great Recession. Monetary policy has focused unduly on inflation. In both cases the underlying rationale is the false premise that in the long run at least the economy is self-regulating so that fiscal policy is unnecessary and inflation beyond a modest 2 percent serves no useful purpose. Fleshing out Keynes's intuition that the problem is not the warts on the body of capitalism but capitalism itself, Raising Keynes provides the foundation for a twenty-first-century macroeconomics that can both respond to crises and guide long-run policy.
Publisher: Harvard University Press
ISBN: 0674971027
Category : Business & Economics
Languages : en
Pages : 921
Book Description
Back to the future: a heterodox economist rewrites Keynes's General Theory of Employment, Interest, and Money to serve as the basis for a macroeconomics for the twenty-first century. John Maynard Keynes's General Theory of Employment, Interest, and Money was the most influential economic idea of the twentieth century. But, argues Stephen Marglin, its radical implications were obscured by Keynes's lack of the mathematical tools necessary to argue convincingly that the problem was the market itself, as distinct from myriad sources of friction around its margins. Marglin fills in the theoretical gaps, revealing the deeper meaning of the General Theory. Drawing on eight decades of discussion and debate since the General Theory was published, as well as on his own research, Marglin substantiates Keynes's intuition that there is no mechanism within a capitalist economy that ensures full employment. Even if deregulating the economy could make it more like the textbook ideal of perfect competition, this would not address the problem that Keynes identified: the potential inadequacy of aggregate demand. Ordinary citizens have paid a steep price for the distortion of Keynes's message. Fiscal policy has been relegated to emergencies like the Great Recession. Monetary policy has focused unduly on inflation. In both cases the underlying rationale is the false premise that in the long run at least the economy is self-regulating so that fiscal policy is unnecessary and inflation beyond a modest 2 percent serves no useful purpose. Fleshing out Keynes's intuition that the problem is not the warts on the body of capitalism but capitalism itself, Raising Keynes provides the foundation for a twenty-first-century macroeconomics that can both respond to crises and guide long-run policy.
Chapters in Game Theory
Author: Stef Tijs
Publisher: Springer Science & Business Media
ISBN: 1402070632
Category : Business & Economics
Languages : en
Pages : 327
Book Description
Colleagues and former students in mathematics and econometrics were asked to write on topics that intersected their own specialty and the work of Tijs, who over the past quarter century has created a distinct school of game theory at various universities in the Netherlands. Some of the 14 papers present new results, and others are surveys of the literature, but most fall somewhere between. The topics include sequencing games, the number of extreme points of the core of a transferable utility game, centrality orderings in social networks, the nucleolus as equilibrium price, and a maximum likelihood approach to population uncertainty and equilibrium selection. There is no index. Annotation (c)2003 Book News, Inc., Portland, OR (booknews.com).
Publisher: Springer Science & Business Media
ISBN: 1402070632
Category : Business & Economics
Languages : en
Pages : 327
Book Description
Colleagues and former students in mathematics and econometrics were asked to write on topics that intersected their own specialty and the work of Tijs, who over the past quarter century has created a distinct school of game theory at various universities in the Netherlands. Some of the 14 papers present new results, and others are surveys of the literature, but most fall somewhere between. The topics include sequencing games, the number of extreme points of the core of a transferable utility game, centrality orderings in social networks, the nucleolus as equilibrium price, and a maximum likelihood approach to population uncertainty and equilibrium selection. There is no index. Annotation (c)2003 Book News, Inc., Portland, OR (booknews.com).
The New Palgrave Dictionary of Economics
Author:
Publisher: Springer
ISBN: 1349588024
Category : Law
Languages : en
Pages : 7493
Book Description
The award-winning The New Palgrave Dictionary of Economics, 2nd edition is now available as a dynamic online resource. Consisting of over 1,900 articles written by leading figures in the field including Nobel prize winners, this is the definitive scholarly reference work for a new generation of economists. Regularly updated! This product is a subscription based product.
Publisher: Springer
ISBN: 1349588024
Category : Law
Languages : en
Pages : 7493
Book Description
The award-winning The New Palgrave Dictionary of Economics, 2nd edition is now available as a dynamic online resource. Consisting of over 1,900 articles written by leading figures in the field including Nobel prize winners, this is the definitive scholarly reference work for a new generation of economists. Regularly updated! This product is a subscription based product.
Introduction to the Theory of Cooperative Games
Author: Bezalel Peleg
Publisher: Springer Science & Business Media
ISBN: 3540729453
Category : Business & Economics
Languages : en
Pages : 336
Book Description
This book systematically presents the main solutions of cooperative games: the core, bargaining set, kernel, nucleolus, and the Shapley value of TU games as well as the core, the Shapley value, and the ordinal bargaining set of NTU games. The authors devote a separate chapter to each solution, wherein they study its properties in full detail. In addition, important variants are defined or even intensively analyzed.
Publisher: Springer Science & Business Media
ISBN: 3540729453
Category : Business & Economics
Languages : en
Pages : 336
Book Description
This book systematically presents the main solutions of cooperative games: the core, bargaining set, kernel, nucleolus, and the Shapley value of TU games as well as the core, the Shapley value, and the ordinal bargaining set of NTU games. The authors devote a separate chapter to each solution, wherein they study its properties in full detail. In addition, important variants are defined or even intensively analyzed.
Cooperative Game Theory and Applications
Author: Imma Curiel
Publisher: Springer Science & Business Media
ISBN: 147574871X
Category : Business & Economics
Languages : en
Pages : 198
Book Description
In this book applications of cooperative game theory that arise from combinatorial optimization problems are described. It is well known that the mathematical modeling of various real-world decision-making situations gives rise to combinatorial optimization problems. For situations where more than one decision-maker is involved classical combinatorial optimization theory does not suffice and it is here that cooperative game theory can make an important contribution. If a group of decision-makers decide to undertake a project together in order to increase the total revenue or decrease the total costs, they face two problems. The first one is how to execute the project in an optimal way so as to increase revenue. The second one is how to divide the revenue attained among the participants. It is with this second problem that cooperative game theory can help. The solution concepts from cooperative game theory can be applied to arrive at revenue allocation schemes. In this book the type of problems described above are examined. Although the choice of topics is application-driven, it also discusses theoretical questions that arise from the situations that are studied. For all the games described attention will be paid to the appropriateness of several game-theoretic solution concepts in the particular contexts that are considered. The computation complexity of the game-theoretic solution concepts in the situation at hand will also be considered.
Publisher: Springer Science & Business Media
ISBN: 147574871X
Category : Business & Economics
Languages : en
Pages : 198
Book Description
In this book applications of cooperative game theory that arise from combinatorial optimization problems are described. It is well known that the mathematical modeling of various real-world decision-making situations gives rise to combinatorial optimization problems. For situations where more than one decision-maker is involved classical combinatorial optimization theory does not suffice and it is here that cooperative game theory can make an important contribution. If a group of decision-makers decide to undertake a project together in order to increase the total revenue or decrease the total costs, they face two problems. The first one is how to execute the project in an optimal way so as to increase revenue. The second one is how to divide the revenue attained among the participants. It is with this second problem that cooperative game theory can help. The solution concepts from cooperative game theory can be applied to arrive at revenue allocation schemes. In this book the type of problems described above are examined. Although the choice of topics is application-driven, it also discusses theoretical questions that arise from the situations that are studied. For all the games described attention will be paid to the appropriateness of several game-theoretic solution concepts in the particular contexts that are considered. The computation complexity of the game-theoretic solution concepts in the situation at hand will also be considered.