Download or read book Complementarity Models And Noncooperative Games Static And Dynamic written by Debasish Ghorui and published by Independent Author. This book was released on 2023-05-10 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Complementarity Models and Noncooperative Games: Static and Dynamic" explores the application of complementarity models in the context of noncooperative games, both in static and dynamic settings. Complementarity models provide a mathematical framework to analyze situations where the decisions of multiple agents or players interact and depend on each other's choices. The research investigates static noncooperative games, where players make decisions simultaneously, considering the interdependence of their choices. Complementarity models allow for the analysis of strategic interactions, such as competition or cooperation, where the outcome for each player depends on the decisions made by others. By employing mathematical formulations and equilibrium concepts, the research delves into understanding the outcomes and strategies in these static noncooperative games. Furthermore, the study explores the application of complementarity models in dynamic noncooperative games, where players make sequential decisions over time. Dynamic games introduce additional complexities, such as intertemporal dependencies, feedback mechanisms, and the possibility of learning and adaptation. Complementarity models offer insights into the strategic behavior and equilibrium concepts in these dynamic settings, enabling the analysis of long-term outcomes and optimal strategies. By examining complementarity models in both static and dynamic noncooperative games, the research contributes to the understanding of strategic decision-making, equilibrium concepts, and the interplay between individual and collective choices. The findings have implications in various fields, including economics, operations research, game theory, and industrial organization. "Complementarity Models and Noncooperative Games: Static and Dynamic" serves as a valuable resource for researchers, economists, policymakers, and professionals interested in strategic decision-making and game theory. By utilizing complementarity models, it becomes possible to analyze complex interactions, understand strategic behaviors, and optimize outcomes in noncooperative game settings, ultimately leading to more informed decision-making processes in various domains.
Download or read book Noncooperative Static and Dynamic Games Addressing Shared Constraints and Phase Transitions written by and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Games And Dynamic Games written by Alain Haurie and published by World Scientific Publishing Company. This book was released on 2012-03-23 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic games arise between players (individuals, firms, countries, animals, etc.) when the strategic interactions among them recur over time and decisions made during one period affect both current and future payoffs. Dynamic games provide conceptually rich paradigms and tools to deal with these situations.This volume provides a uniform approach to game theory and illustrates it with present-day applications to economics and management, including environmental, with the emphasis on dynamic games.At the end of each chapter a case study called game engineering (GE) is provided, to help readers understand how problems of high social priority, such as environmental negotiations, exploitation of common resources, can be modeled as games and how solutions can be engineered.
Download or read book Dynamic Optimization and Differential Games written by Terry L. Friesz and published by Springer Science & Business Media. This book was released on 2010-08-20 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has been written to address the increasing number of Operations Research and Management Science problems (that is, applications) that involve the explicit consideration of time and of gaming among multiple agents. It is a book that will be used both as a textbook and as a reference and guide by those whose work involves the theoretical aspects of dynamic optimization and differential games.
Download or read book Complementarity and Variational Problems written by Michael C. Ferris and published by SIAM. This book was released on 1997-01-01 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: After more than three decades of research, the subject of complementarity problems and its numerous extensions has become a well-established and fruitful discipline within mathematical programming and applied mathematics. Sources of these problems are diverse and span numerous areas in engineering, economics, and the sciences. Includes refereed articles.
Download or read book Static And Dynamic Games written by Debasish Ghorui and published by Independent Author. This book was released on 2022-12-22 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The linear complementarity problem has been successfully applied to option pricing. The problem has undergone several name changes, from composite problem, to fundamental problem, to complementary pivot problem. The current name linear complementarity problem was proposed by Cottle [15, p. 37]. The linear complementarity problems are found in the first-order optimality conditions of quadratic programming. Probably the earliest publication containing an explicitly stated linear complementarity problem is one by Du Val (1940)[24] in algebraic geometry. The algorithm presented by Lemke and Howson [72] to compute an equilibrium pair of strategies to a bimatrix game, later extended by Lemke to solve an LCP(q, M) contributed significantly to the development of the linear complementarity theory. However, this algorithm does not solve every instance of the linear complementarity problem and in some instances of the problem may terminate inconclusively without either computing a solution to it or showing that no solution to it exists. In fact there exists two major types of algorithms to solve LCPs: pivoting and iterative. The former one is of finite step algorithm where it transform the problem (q, M) into an equivalent form (q, M) in which q >= 0. But this is not always possible as it depends on the problem data, mostly on the matrix class to which the matrix M belongs. Iterative method is used in case of a large scale linear complementarity problem and the matrix is to be sparse(to have lesser number of nonzero elements) and structured. Lemke's algorithm [71] is a nice pivoting algorithm for solving a linear complementarity problem and it has attracted lots of attention to game theory community. Another pivoting algorithm called pincipal pivoting method(PPM) for LCPs can be found in Cottle and Dantzig
Download or read book Dynamic Games Theory and Applications written by Alain Haurie and published by Springer Science & Business Media. This book was released on 2005-12-06 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic games continue to attract strong interest from researchers interested in modelling competitive as well as conflict situations exhibiting an intertemporel aspect. Applications of dynamic games have proven to be a suitable methodology to study the behaviour of players (decision-makers) and to predict the outcome of such situations in many areas including engineering, economics, management science, military, biology and political science. Dynamic Games: Theory and Applications collects thirteen articles written by established researchers. It is an excellent reference for researchers and graduate students covering a wide range of emerging and revisited problems in both cooperative and non-cooperative games in different areas of applications, especially in economics and management science.
Download or read book Supermodularity and Complementarity written by Donald M. Topkis and published by Princeton University Press. This book was released on 2011-02-11 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: The economics literature is replete with examples of monotone comparative statics; that is, scenarios where optimal decisions or equilibria in a parameterized collection of models vary monotonically with the parameter. Most of these examples are manifestations of complementarity, with a common explicit or implicit theoretical basis in properties of a super-modular function on a lattice. Supermodular functions yield a characterization for complementarity and extend the notion of complementarity to a general setting that is a natural mathematical context for studying complementarity and monotone comparative statics. Concepts and results related to supermodularity and monotone comparative statics constitute a new and important formal step in the long line of economics literature on complementarity. This monograph links complementarity to powerful concepts and results involving supermodular functions on lattices and focuses on analyses and issues related to monotone comparative statics. Don Topkis, who is known for his seminal contributions to this area, here presents a self-contained and up-to-date view of this field, including many new results, to scholars interested in economic theory and its applications as well as to those in related disciplines. The emphasis is on methodology. The book systematically develops a comprehensive, integrated theory pertaining to supermodularity, complementarity, and monotone comparative statics. It then applies that theory in the analysis of many diverse economic models formulated as decision problems, noncooperative games, and cooperative games.
Download or read book Theory and Applications of Dynamic Games written by Elena Parilina and published by Springer. This book was released on 2022-12-17 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a comprehensive overview of noncooperative and cooperative dynamic games involving uncertain parameter values, with the stochastic process being described by an event tree. Primarily intended for graduate students of economics, management science and engineering, the book is self-contained, as it defines and illustrates all relevant concepts originally introduced in static games before extending them to a dynamic framework. It subsequently addresses the sustainability of cooperative contracts over time and introduces a range of mechanisms to help avoid such agreements breaking down before reaching maturity. To illustrate the concepts discussed, the book provides various examples of how dynamic games played over event trees can be applied to environmental economics, management science, and engineering.
Download or read book Static and Dynamic Aspects of General Disequilibrium Theory written by P. Jean-Jacques Herings and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Differential Games in Industrial Economics written by Luca Lambertini and published by Cambridge University Press. This book was released on 2018-04-26 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game theory has revolutionised our understanding of industrial organisation and the traditional theory of the firm. Despite these advances, industrial economists have tended to rely on a restricted set of tools from game theory, focusing on static and repeated games to analyse firm structure and behaviour. Luca Lambertini, a leading expert on the application of differential game theory to economics, argues that many dynamic phenomena in industrial organisation (such as monopoly, oligopoly, advertising, R&D races) can be better understood and analysed through the use of differential games. After illustrating the basic elements of the theory, Lambertini guides the reader through the main models, spanning from optimal control problems describing the behaviour of a monopolist through to oligopoly games in which firms' strategies include prices, quantities and investments. This approach will be of great value to students and researchers in economics and those interested in advanced applications of game theory.
Download or read book Handbook of Industrial Organization written by Kate Ho and published by Elsevier. This book was released on 2021-12-09 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Industrial Organization Volume 4 highlights new advances in the field, with this new volume presenting interesting chapters. Each chapter is written by an international board of authors. Part of the renowned Handbooks in Economics series Chapters are contributed by some of the leading experts in their fields A source, reference and teaching supplement for industrial organizations or industrial economists
Download or read book Network Science Nonlinear Science and Infrastructure Systems written by Terry L. Friesz and published by Springer Science & Business Media. This book was released on 2007-06-10 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written by leading scholars in Network Science, Nonlinear Science and Infrastructure Systems, expressly to develop common theoretical underpinnings for better solutions to modern infrastructural problems. The book is dedicated to the formulation of infrastructural tools that will better solve problems from transportation networks to telecommunications, Internet, supply chains and more.
Download or read book Nash Equilibrium Seeking in Noncooperative Games and Multi agent Deployment to Planar Curves written by Paul A. Frihauf and published by . This book was released on 2012 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present two research topics in multi-agent systems: Nash equilibrium seeking for players in unknown noncooperative games and the deployment of agents onto families of planar curves. The designed controllers either extract or encode the information necessary for the agents to achieve their objectives. Selfish players converge to a Nash equilibrium despite not knowing the game's mathematical structure, and follower agents achieve deployment to planar curves without explicit knowledge of the desired formation. To solve static, noncooperative games, we introduce a non-model based learning strategy, based on the extremum seeking approach, for N-player and infinitely-many player games. In classical learning algorithms, each player has knowledge of its payoff's functional form and of the other players' actions, whereas in the proposed algorithm, the players measure only their own payoff values. For games with non-quadratic payoffs, convergence to a Nash equilibrium is not perfect, but is biased in proportion to the algorithm's perturbation amplitudes and the payoff functions' higher derivatives. In games with infinitely-many players, no single player may affect the outcome of the game, and yet, we show that a player may converge to the Nash equilibrium by measuring only its own payoff value. Inspired by the infinitely-many player case, we also present an extremum seeking approach for locally stable attainment of the optimal open-loop control sequence for unknown discrete-time linear systems, where not even the dimension of the system is known. To achieve deployment to a family of planar curves, we model the agents' collective dynamics with the reaction-advection-diffusion class of PDEs. The PDE models, whose state is the position of the agents, incorporate the agents' feedback laws, which are designed based on a spatial internal model principle. Namely, the agents' feedback laws allow the agents to deploy to a family of geometric curves that correspond to the model's equilibrium profiles. Stable deployment is ensured by leader feedback, designed using techniques for the boundary control of PDEs. A nonlinear PDE model is also presented that does not require leader feedback and enables the agents to deploy to planar arc formations.
Download or read book Handbook of Dynamic Game Theory written by Tamer Basar and published by . This book was released on 19?? with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Résumé : "This will be a two-part handbook on Dynamic Game Theory and part of the Springer Reference program. Part I will be on the fundamentals and theory of dynamic games. It will serve as a quick reference and a source of detailed exposure to topics in dynamic games for a broad community of researchers, educators, practitioners, and students. Each topic will be covered in 2-3 chapters with one introducing basic theory and the other one or two covering recent advances and/or special topics. Part II will be on applications in fields such as economics, management science, engineering, biology, and the social sciences."
Download or read book Journal of Southeast University written by and published by . This book was released on 1996 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonlinear Programming Techniques for Equilibria written by Giancarlo Bigi and published by Springer. This book was released on 2018-09-20 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book considers a range of problems in operations research, which are formulated through various mathematical models such as complementarity, variational inequalities, multiobjective optimization, fixed point problems, noncooperative games and inverse optimization. Moreover, the book subsumes all these models under a common structure that allows them to be formulated in a unique format: the Ky Fan inequality. It subsequently focuses on this unifying equilibrium format, providing a comprehensive overview of the main theoretical results and solution algorithms, together with a wealth of applications and numerical examples. Particular emphasis is placed on the role of nonlinear optimization techniques – e.g. convex optimization, nonsmooth calculus, proximal point and descent algorithms – as valuable tools for analyzing and solving Ky Fan inequalities.
