Index and Stability in Bimatrix Games PDF Download
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Author: H. Arndt von Schemde
Publisher: Springer Science & Business Media
ISBN: 3540291024
Category : Business & Economics
Languages : en
Pages : 157
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Book Description
The index of an equilibrium in a game gives information about the "stability" of the equilibrium, for example with respect to game dynamics. Unfortunately, index theory is often very technical. This book presents a new geometric construction that visualises the index in an intuitive way. For example, a 3A-n game, for any n, can be represented by a figure in the plane, from which one can read off any equilibrium, and its index as a geometric orientation. With this insight, the index can be characterised in strategic terms alone. Moreover, certain "hyperstable" equilibrium components are seen to have nonzero index. The construction gives an elementary proof that two-player games have a Nash equilibrium, and, in an unusual direction, the powerful fixed point theorem of Brouwer.
Author: H. Arndt von Schemde
Publisher: Springer Science & Business Media
ISBN: 3540291024
Category : Business & Economics
Languages : en
Pages : 157
Get Book Here
Book Description
The index of an equilibrium in a game gives information about the "stability" of the equilibrium, for example with respect to game dynamics. Unfortunately, index theory is often very technical. This book presents a new geometric construction that visualises the index in an intuitive way. For example, a 3A-n game, for any n, can be represented by a figure in the plane, from which one can read off any equilibrium, and its index as a geometric orientation. With this insight, the index can be characterised in strategic terms alone. Moreover, certain "hyperstable" equilibrium components are seen to have nonzero index. The construction gives an elementary proof that two-player games have a Nash equilibrium, and, in an unusual direction, the powerful fixed point theorem of Brouwer.
Author: H. Arndt von Schemde
Publisher: Springer
ISBN: 9783540263661
Category : Business & Economics
Languages : en
Pages : 158
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Book Description
The index of an equilibrium in a game gives information about the "stability" of the equilibrium, for example with respect to game dynamics. Unfortunately, index theory is often very technical. This book presents a new geometric construction that visualises the index in an intuitive way. For example, a 3×n game, for any n, can be represented by a figure in the plane, from which one can read off any equilibrium, and its index as a geometric orientation. With this insight, the index can be characterised in strategic terms alone. Moreover, certain "hyperstable" equilibrium components are seen to have nonzero index. The construction gives an elementary proof that two-player games have a Nash equilibrium, and, in an unusual direction, the powerful fixed point theorem of Brouwer.
Author: Arndt Von Schemde
Publisher:
ISBN:
Category :
Languages : en
Pages : 288
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Book Description
Author: Thomas J.. Rivera
Publisher:
ISBN:
Category :
Languages : en
Pages : 78
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Book Description
Author: David Ardia
Publisher: Springer Science & Business Media
ISBN: 3540786570
Category : Business & Economics
Languages : en
Pages : 206
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Book Description
This book presents in detail methodologies for the Bayesian estimation of sing- regime and regime-switching GARCH models. These models are widespread and essential tools in n ancial econometrics and have, until recently, mainly been estimated using the classical Maximum Likelihood technique. As this study aims to demonstrate, the Bayesian approach o ers an attractive alternative which enables small sample results, robust estimation, model discrimination and probabilistic statements on nonlinear functions of the model parameters. The author is indebted to numerous individuals for help in the preparation of this study. Primarily, I owe a great debt to Prof. Dr. Philippe J. Deschamps who inspired me to study Bayesian econometrics, suggested the subject, guided me under his supervision and encouraged my research. I would also like to thank Prof. Dr. Martin Wallmeier and my colleagues of the Department of Quantitative Economics, in particular Michael Beer, Roberto Cerratti and Gilles Kaltenrieder, for their useful comments and discussions. I am very indebted to my friends Carlos Ord as Criado, Julien A. Straubhaar, J er ^ ome Ph. A. Taillard and Mathieu Vuilleumier, for their support in the elds of economics, mathematics and statistics. Thanks also to my friend Kevin Barnes who helped with my English in this work. Finally, I am greatly indebted to my parents and grandparents for their support and encouragement while I was struggling with the writing of this thesis.
Author: M. J. M. Jansen
Publisher:
ISBN:
Category :
Languages : en
Pages : 25
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Book Description
Author: Leslie Neubecker
Publisher: Springer Science & Business Media
ISBN: 3540295577
Category : Business & Economics
Languages : en
Pages : 237
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Book Description
Dynamic oligopolistic competition has implications both for the strategic management of firms and for the design of an effective competition policy. Consequently, the present book considers the issue from a private and social perspective. It discusses the potential pro- and anticollusive effects of long-term business strategies, especially for cooperation and reinvestment in production, financing and management compensation, in markets with fluctuating demand. The method of supergame theory is applied to integrate long-run decisions and different types of demand into the analysis. Aside from its contributions to the theoretical literature, the book provides valuable insights into the design of competition policy. The observed development of prices is an indicator of the extent of collusion in the market and can thereby be used to assess antitrust regulation in certain business areas, and to focus the resources of competition authorities on markets where conditions are conducive to collusion.
Author: Markus Bouziane
Publisher: Springer Science & Business Media
ISBN: 3540770666
Category : Business & Economics
Languages : en
Pages : 207
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Book Description
The author derives an efficient and accurate pricing tool for interest-rate derivatives within a Fourier-transform based pricing approach, which is generally applicable to exponential-affine jump-diffusion models.
Author: PierCarlo Nicola
Publisher: Springer Science & Business Media
ISBN: 3540773975
Category : Business & Economics
Languages : en
Pages : 265
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Book Description
This book presents a macroeconomic dynamic model à la Solow-Swan, including the market for labor, in a discrete time structure. The model is expanded to include expenditure on R&D and public expenditure on infrastructure. For each of the three models the results are shown in time series figures, which demonstrate that even small changes in the parameters produce responses in the time behavior of the main variables: from steady growth, to regular cycles, to chaotic-like time paths.
Author: Julian Emami Namini
Publisher: Springer Science & Business Media
ISBN: 3540327193
Category : Business & Economics
Languages : en
Pages : 168
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Book Description
This study investigates the dynamic welfare effects of exposure to trade in a new trade model, which is extended by firm heterogeneity. It is analyzed under which conditions exposure to trade with firm heterogeneity increases or decreases steady state welfare of a country. It uses a new trade model to explore which country-specific conditions give rise to horizontal or vertical multinational activity. Finally, it combines the Heckscher-Ohlin model and a new trade model with horizontal multinational firms.
