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Dynamic Shapley Value and Dynamic Nash Bargaining
AvDavid W. K. Yeung
E-bok
PDF, Engelska, 2018
3 323 kr
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This book is an important and innovative addition to textbooks in game theory. It provides a detailed discourse on the extension of two of the world's most prominent cooperative game solutions - the seminal Shapley value in games with transferrable payoffs and the classic Nash bargaining scheme in games with non-transferrable payoffs - to a dynamic framework. The extension of these two classic cooperative solution concepts into a dynamic setting is not just of theoretical interest, but also allows many real-life cooperation situations - like global environmental management, nuclear disarmament, disease control, trade disputes and political unions - to be analyzed in an effective way. This book provides: (i) A compendium of dynamic optimization techniques used in its analysis; (ii) a detailed disquisition on cooperative dynamic consistency; (iii) the extension of the Shapley Value to a dynamic framework; (iv) the establishment of a dynamic Nash bargaining paradigm; and (v) the incorporation of stochastic elements into the analyses. Interesting solvable examples are provided to illustrate the practicality and applicability of the dynamic Shapley value and dynamic Nash bargaining scheme in dynamic cooperation.
Nyhet
Dynamic Fair Gain-sharing Cooperation: Theory, Solution Techniques And A Reference Solution For United Nations Cooperation Initiatives
AvDavid W K Yeung,Leon A Petrosyan
Inbunden, Engelska, 2026
1 277 kr
Skickas inom 5-8 vardagar
This book presents a new technique for measuring the contributions of the participants in cooperation schemes and formulates a dynamic fair gain-sharing solution that reflects the contributions of the participants. The solution entails individual rationality, group optimality, time consistency, and fair gain-sharing principles. This innovative solution is applicable across a diverse array of dynamic games and is expected to offer an effective means to resolve real-life challenges in collaboration and stands as a reference solution to United Nations cooperation initiatives.The topics in the book include:
Del 50 - Theory and Decision Library C
Durable-Strategies Dynamic Games
Theory, Solution Techniques and Applications
AvDavid W. K. Yeung,Leon A. Petrosyan
Inbunden, Engelska, 2022
1 085 kr
Skickas inom 10-15 vardagar
Durable strategies that have prolonged effects are prevalent in real-world situations. Revenue-generating investments, toxic waste disposal, long-lived goods, regulatory measures, coalition agreements, diffusion of knowledge, advertisement and investments to accumulate physical capital are concrete and common examples of durable strategies. This book provides an augmentation of dynamic game theory and advances a new game paradigm with durable strategies in decision-making schemes. It covers theories, solution techniques, and the applications of a general class of dynamic games with multiple durable strategies. Non-cooperative equilibria and cooperative solutions are derived, along with advanced topics including random termination, asynchronous game horizons, and stochastic analysis. The techniques presented here will enable readers to solve numerous practical dynamic interactive problems with durable strategies. This book not only expands the scope of applied dynamic game theory, but also provides a solid foundation for further theoretical and technical advancements. As such, it will appeal to scholars and students of quantitative economics, game theory, operations research, and computational mathematics."Not too many new concepts have been introduced in dynamic games since their inception. The introduction of the concept of durable strategies changes this trend and yields important contributions to environmental and business applications."Dušan M Stipanović, Professor, University of Illinois at Urbana-Champaign "Before this book, the field simply did not realize that most of our strategies are durable and entail profound effects in the future. Putting them into the mathematical framework of dynamic games is a great innovative effort."Vladimir Turetsky, Professor, Ort Braude College“Durable-strategies Dynamic Games is trulya world-leading addition to the field of dynamic games. It is a much needed publication to tackle increasingly crucial problems under the reality of durable strategies.”Vladimir Mazalov, Director of Mathematical Research, Russian Academy of Sciences & President of the International Society of Dynamic Games
Durable-Strategies Dynamic Games
Theory, Solution Techniques and Applications
AvLeon A. Petrosyan,David W. K. Yeung
E-bok
Engelska, 2022
894 kr
Läs direkt efter köp
Durable strategies that have prolonged effects are prevalent in real-world situations. Revenue-generating investments, toxic waste disposal, long-lived goods, regulatory measures, coalition agreements, diffusion of knowledge, advertisement and investments to accumulate physical capital are concrete and common examples of durable strategies. This book provides an augmentation of dynamic game theory and advances a new game paradigm with durable strategies in decision-making schemes. It covers theories, solution techniques, and the applications of a general class of dynamic games with multiple durable strategies. Non-cooperative equilibria and cooperative solutions are derived, along with advanced topics including random termination, asynchronous game horizons, and stochastic analysis. The techniques presented here will enable readers to solve numerous practical dynamic interactive problems with durable strategies.

This book not only expands the scope of applied dynamic game theory, but also provides a solid foundation for further theoretical and technical advancements. As such, it will appeal to scholars and students of quantitative economics, game theory, operations research, and computational mathematics.
"Not too many new concepts have been introduced in dynamic games since their inception. The introduction of the concept of durable strategies changes this trend and yields important contributions to environmental and business applications."
Dušan M Stipanović, Professor, University of Illinois at Urbana-Champaign
"Before this book, the field simply did not realize that most of our strategies are durable and entail profound effects in the future. Putting them into the mathematical framework of dynamic games is a great innovative effort."
Vladimir Turetsky, Professor, Ort Braude College
“Durable-strategies Dynamic Games is trulya world-leading addition to the field of dynamic games. It is a much needed publication to tackle increasingly crucial problems under the reality of durable strategies.”
Vladimir Mazalov, Director of Mathematical Research, Russian Academy of Sciences & President of the International Society of Dynamic Games
Del 50 - Theory and Decision Library C
Durable-Strategies Dynamic Games
Theory, Solution Techniques and Applications
AvDavid W. K. Yeung,Leon A. Petrosyan
Häftad, Engelska, 2023
707 kr
Skickas inom 10-15 vardagar
Durable strategies that have prolonged effects are prevalent in real-world situations. Revenue-generating investments, toxic waste disposal, long-lived goods, regulatory measures, coalition agreements, diffusion of knowledge, advertisement and investments to accumulate physical capital are concrete and common examples of durable strategies. This book provides an augmentation of dynamic game theory and advances a new game paradigm with durable strategies in decision-making schemes. It covers theories, solution techniques, and the applications of a general class of dynamic games with multiple durable strategies. Non-cooperative equilibria and cooperative solutions are derived, along with advanced topics including random termination, asynchronous game horizons, and stochastic analysis. The techniques presented here will enable readers to solve numerous practical dynamic interactive problems with durable strategies. This book not only expands the scope of applied dynamic game theory, but also provides a solid foundation for further theoretical and technical advancements. As such, it will appeal to scholars and students of quantitative economics, game theory, operations research, and computational mathematics."Not too many new concepts have been introduced in dynamic games since their inception. The introduction of the concept of durable strategies changes this trend and yields important contributions to environmental and business applications."Dušan M Stipanović, Professor, University of Illinois at Urbana-Champaign "Before this book, the field simply did not realize that most of our strategies are durable and entail profound effects in the future. Putting them into the mathematical framework of dynamic games is a great innovative effort."Vladimir Turetsky, Professor, Ort Braude College“Durable-strategies Dynamic Games is trulya world-leading addition to the field of dynamic games. It is a much needed publication to tackle increasingly crucial problems under the reality of durable strategies.”Vladimir Mazalov, Director of Mathematical Research, Russian Academy of Sciences & President of the International Society of Dynamic Games
ICM Millennium Lectures on Games
AvLeon A. Petrosyan,David W. K. Yeungm. fl.
Inbunden, Engelska, 2003
1 117 kr
Skickas inom 10-15 vardagar
This volume gathers together 26 selected papers from the International Congress of Mathematicians' 1st Satellite Conference on Game Theory and its Applications (2002). It contains four sections: Foundations, Concepts, and Structure; Equilibrium Properties; Applications to the Natural and Social Sciences; Computational Aspects of Games. The first section explores fundamental ideas, leading to new and analytically interesting analysis of current problems, new games and new modeling approaches. Papers in the second section discuss issues in the solution of games, and present a number of potentially fruitful ideas regarding game equilibrium. The third and fourth sections are devoted to applications to the natural and social sciences and to computation. The articles on market structure and game-based computations would be of particular interest to researchers and practitioners.
GENERAL MATHEMATICAL THEORY OF THE DYNAMIC GLOBAL POLITICAL ECONOMY, A
AvDavid W K Yeung,Leon A Petrosyan
Inbunden, Engelska, 2024
1 400 kr
Skickas inom 3-6 vardagar
William Jevons (1866 and 1871) established a ground-breaking milestone with "A General Mathematical Theory of Political Economy" for economic analysis. Jevons' work was praised as the start of the mathematical method in the discipline of economics, which is inherently a subject involved with mathematics and quantities. This book focuses on the most fast-evolving and encompassing area in political economy — the dynamic global political economy. Under the high level of globalization currently, intertemporal and cross-boundary interactive elements are present in political-economic encounters. Indeed, almost all studies in the political economy may fall into the study of dynamic global political economy. Since the world has changed significantly, new mathematics developed by the authors of this book is used to formulate a general mathematical theory for the dynamic global political economy nowadays. A distinctive feature of the current book is that it combines advanced mathematics, game-theoretic concepts, and economics to develop a general mathematical theory supporting the study of the dynamic global political economy.The book covers mathematical theory for different areas of the dynamic global political economy. In addition, it explicates the application of the mathematical theory in real-world scenarios, including (i) environmental degradation under an uncoordinated interaction scenario, (ii) global climate accords with collaboration and cooperation, (iii) trade network involving the Belt-Road Initiative (BRI) and Build Back Better World (B3W) Initiative, and (iv) random termination of international joint ventures.

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David W. K. Yeung – författare

Dynamic Shapley Value and Dynamic Nash Bargaining

Dynamic Fair Gain-sharing Cooperation: Theory, Solution Techniques And A Reference Solution For United Nations Cooperation Initiatives

Durable-Strategies Dynamic Games

Durable-Strategies Dynamic Games

Durable-Strategies Dynamic Games

ICM Millennium Lectures on Games

GENERAL MATHEMATICAL THEORY OF THE DYNAMIC GLOBAL POLITICAL ECONOMY, A

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