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Game-Theoretic Analysis of Cooperation Among Supply Chain Agents

Author : Mahesh Nagarajan
Publisher :
Page : 0 pages
File Size : 27,66 MB
Release : 2008
Category :
ISBN :

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This paper surveys some applications of cooperative game theory to supply chain management. Special emphasis is placed on two important aspects of cooperative games: profit allocation and stability. The paper first describes the construction of the set of feasible outcomes in commonly seen supply chain models, and then uses cooperative bargaining models to find allocations of the profit pie between supply chain partners. In doing so, several models are analyzed and surveyed, and include suppliers selling to competing retailers, and assemblers negotiating with component manufacturers selling complementary components. The second part of the paper discusses the issue of coalition formation among supply chain partners. An exhaustive survey of commonly used stability concepts is presented. Further, new ideas such as farsightedness among supply chain players are also discussed and analyzed. The paper also opens some avenues of future research in applying cooperative game theory to supply chain management.

Cooperation: Game-Theoretic Approaches

Author : Sergiu Hart
Publisher : Springer Science & Business Media
Page : 331 pages
File Size : 25,97 MB
Release : 2012-12-06
Category : Computers
ISBN : 3642604544

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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.

Computational Aspects of Cooperative Game Theory

Author : Georgios Chalkiadakis
Publisher : Morgan & Claypool Publishers
Page : 171 pages
File Size : 36,74 MB
Release : 2012
Category : Computers
ISBN : 1608456528

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Cooperative game theory is a branch of (micro-)economics that studies the behavior of self-interested agents in strategic settings where binding agreements among agents are possible. Our aim in this book is to present a survey of work on the computational aspects of cooperative game theory. We begin by formally defining transferable utility games in characteristic function form, and introducing key solution concepts such as the core and the Shapley value. We then discuss two major issues that arise when considering such games from a computational perspective: identifying compact representations for games, and the closely related problem of efficiently computing solution concepts for games. We survey several formalisms for cooperative games that have been proposed in the literature, including, for example, cooperative games defined on networks, as well as general compact representation schemes such as MC-nets and skill games. As a detailed case study, we consider weighted voting games: a widely-used and practically important class of cooperative games that inherently have a natural compact representation. We investigate the complexity of solution concepts for such games, and generalizations of them. We briefly discuss games with non-transferable utility and partition function games. We then overview algorithms for identifying welfare-maximizing coalition structures and methods used by rational agents to form coalitions (even under uncertainty), including bargaining algorithms. We conclude by considering some developing topics, applications, and future research directions.

Game Theory with Applications in Operations Management

Author : R K Amit
Publisher : Springer
Page : 0 pages
File Size : 49,90 MB
Release : 2023-12-12
Category : Business & Economics
ISBN : 9789819948321

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This book combines game theory with critical applications in operations and supply chain management. The recognition and adoption of game-theoretic modelling for operations and supply chain management problems in multi-agent settings have been a hallmark of research in operations and supply chain literature during the last few years. Despite research in operations and supply chain management having embraced both non-cooperative and cooperative game-theoretic solution concepts, there is still an abundance of underutilized concepts and tools in game theory that could strongly influence the operations management problems. The objective of this book is to provide a broad picture of solution concepts that are highly applicable to operations and supply chain settings, and to explicate these concepts with some of the relevant problems in operations management in multi-agent settings, often with conflicting objectives. The book discusses different strategic situations like games in normal form, games in extensive form, games of incomplete information, repeated games, mechanism design, and cooperative games, to solve operations problems of supply chain coordination, capacity planning, revenue and pricing management, and other complex problems of matching supply with demand. With the increasing digitization of supply chain and manufacturing, the narrative of the problems in these areas is focusing on additive and cooperative manufacturing, blockchain and smart contracts, online platforms, and shared economy. The book profits from the fact that these new issues are predominantly multi-agent settings, and lend into game-theoretical solution concepts. The intended audience of the book are research community and graduate students of operations & supply chain management, economics, mathematics, computer science, and manufacturing & industrial engineering. The book is also relevant for practitioners who use multi-agent architecture in business problems.

Game Theoretic Analysis

Author : Leon A Petrosyan
Publisher : World Scientific
Page : 621 pages
File Size : 20,45 MB
Release : 2019-10-14
Category : Mathematics
ISBN : 9811202028

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This is a collection of recent novel contributions in game theory from a group of prominent authors in the field. It covers Non-cooperative Games, Equilibrium Analysis, Cooperative Games and Axiomatic Values in static and dynamic contexts.Part 1: Non-cooperative Games and Equilibrium AnalysisIn game theory, a non-cooperative game is a game with competition between individual players and in which only self-enforcing (e.g. through credible threats) alliances (or competition between groups of players, called 'coalitions') are possible due to the absence of external means to enforce cooperative behavior (e.g. contract law), as opposed to cooperative games. In fact, non-cooperative games are the foundation for the development of cooperative games by acting as the status quo. Non-cooperative games are generally analysed through the framework of equilibrium, which tries to predict players' individual strategies and payoffs. Indeed, equilibrium analysis is the centre of non-cooperative games. This volume on non-cooperative games and equilibrium analysis contains a variety of non-cooperative games and non-cooperative game equilibria from prominent authors in the field.Part 2: Cooperative Games and Axiomatic ValuesIt is well known that non-cooperative behaviours, in general, would not lead to a Pareto optimal outcome. Highly undesirable outcomes (like the prisoner's dilemma) and even devastating results (like the tragedy of the commons) could appear when the involved parties only care about their individual interests in a non-cooperative situation. Cooperative games offer the possibility of obtaining socially optimal and group efficient solutions to decision problems involving strategic actions. In addition, axiomatic values serve as guidance for establishing cooperative solutions. This volume on cooperative games and axiomatic values presents a collection of cooperative games and axiomatic values from prominent authors in the field.

Value Solutions In Cooperative Games

Author : Roger A Mccain
Publisher : World Scientific
Page : 236 pages
File Size : 41,33 MB
Release : 2013-03-07
Category : Mathematics
ISBN : 9814417416

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This book introduces new concepts for cooperative game theory, and particularly solutions that determine the distribution of a coalitional surplus among the members of the coalition. It also addresses several generalizations of cooperative game theory. Drawing on methods of welfare economics, new value solutions are derived for Non-Transferable Utility games with and without differences of bargaining power among the members of the coalition. Cooperation in intertemporal games is examined, and conditions that permit the reduction of these games to games in coalition function form are outlined. Biform games and games that combine non-cooperative search and matching of coalition members with cooperative solutions (i.e., efficient contracts) within the coalition are considered.

Cooperative Game Theory and Applications

Author : Imma Curiel
Publisher : Springer Science & Business Media
Page : 210 pages
File Size : 16,89 MB
Release : 1997-03-31
Category : Business & Economics
ISBN : 9780792344766

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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.

Cooperative Game Theory Tools in Coalitional Control Networks

Author : Francisco Javier Muros
Publisher : Springer
Page : 233 pages
File Size : 35,76 MB
Release : 2019-04-24
Category : Technology & Engineering
ISBN : 3030104893

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This book analyzes coalitional control schemes by incorporating concepts of cooperative game theory into a distributed control framework. It considers a networked architecture where the nodes are the agents and the edges are their communication links and either the agents or the links are established as the players of cooperative games related to the cost function of the coalitional schemes. The book discusses various cooperative game theory tools that are used to measure/analyze the players’ features, impose constraints on them, provide alternative methods of game computation, detect critical players inside the control scheme, and perform system partitioning of large-scale systems, such as the Barcelona drinking water network, which is described in a case study.

Introduction to the Theory of Cooperative Games

Author : Bezalel Peleg
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 32,61 MB
Release : 2007-08-15
Category : Business & Economics
ISBN : 3540729453

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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.