the theory of extensive form games springer series in game theory

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The Theory Of Extensive Form Games

Author : Carlos Alós-Ferrer
ISBN : 9783662499443
Genre : Business & Economics
File Size : 67. 4 MB
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This book treats extensive form game theory in full generality. It provides a framework that does not rely on any finiteness assumptions at all, yet covers the finite case. The presentation starts by identifying the appropriate concept of a game tree. This concept represents a synthesis of earlier approaches, including the graph-theoretical and the decision-theoretical ones. It then provides a general model of sequential, interpersonal decision making, called extensive decision problems. Extensive forms are a special case thereof, which is such that all strategy profiles induce outcomes and do so uniquely. Requiring the existence of immediate predecessors yields discrete extensive forms, which are still general enough to cover almost all applications. The treatment culminates in a characterization of the topologies on the plays of the game tree that admit equilibrium analysis.

Game Theory

Author : Hans Peters
ISBN : 9783662469507
Genre : Mathematics
File Size : 42. 36 MB
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This textbook presents the basics of game theory both on an undergraduate level and on a more advanced mathematical level. It is the second, revised version of the successful 2008 edition. The book covers most topics of interest in game theory, including cooperative game theory. Part I presents introductions to all these topics on a basic yet formally precise level. It includes chapters on repeated games, social choice theory, and selected topics such as bargaining theory, exchange economies, and matching. Part II goes deeper into noncooperative theory and treats the theory of zerosum games, refinements of Nash equilibrium in strategic as well as extensive form games, and evolutionary games. Part III covers basic concepts in the theory of transferable utility games, such as core and balancedness, Shapley value and variations, and nucleolus. Some mathematical tools on duality and convexity are collected in Part IV. Every chapter in the book contains a problem section. Hints, answers and solutions are included.

Decision And Game Theory For Security

Author : Tansu Alpcan
ISBN : 9783642171970
Genre : Computers
File Size : 63. 37 MB
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Securing complex and networked systems has become increasingly important as these systems play an indispensable role in modern life at the turn of the - formation age. Concurrently, security of ubiquitous communication, data, and computing poses novel research challenges. Security is a multi-faceted problem due to the complexity of underlying hardware, software, and network inter- pendencies as well as human and social factors. It involves decision making on multiple levels and multiple time scales, given the limited resources available to both malicious attackers and administrators defending networked systems. - cision and game theory provides a rich set of analyticalmethods and approaches to address various resource allocation and decision-making problems arising in security. This edited volume contains the contributions presented at the inaugural Conference on Decision and Game Theory for Security - GameSec 2010. These 18 articles (12 full and 6 short papers) are thematically categorized into the following six sections: – “Security investments and planning” contains two articles, which present optimization methods for (security) investments when facing adversaries. – “Privacy and anonymity” has three articles discussing location privacy, - line anonymity, and economic aspects of privacy. – “Adversarial and robust control” contains three articles, which investigate security and robustness aspects of control in networks. – “Networksecurityandbotnets”hasfourarticlesfocusingondefensivestra- giesagainstbotnetsaswellasdetectionofmaliciousadversariesinnetworks. – “Authorizationandauthentication”hasanarticleonpasswordpracticesand another one presenting a game-theoretic authorization model. – “Theory and algorithms for security” contains four articles on various th- retic and algorithmic aspects of security.

Game Theory For Networks

Author : Lingjie Duan
ISBN : 9783319675404
Genre : Computers
File Size : 56. 71 MB
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This book constitutes the refereed proceedings of the 7th EAI International Conference on Game Theory for Networks, GameNets 2017, held in Knoxville, Tennessee, USA, in May 2017. The 10 conference papers and 5 invited papers presented cover topics such as smart electric grid, Internet of Things (IoT), social networks, networks security, mobile service markets, and epidemic control.

Introduction To Game Theory

Author : Peter Morris
ISBN : 9781461243168
Genre : Mathematics
File Size : 22. 62 MB
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This advanced textbook covers the central topics in game theory and provides a strong basis from which readers can go on to more advanced topics. The subject matter is approached in a mathematically rigorous, yet lively and interesting way. New definitions and topics are motivated as thoroughly as possible. Coverage includes the idea of iterated Prisoner's Dilemma (super games) and challenging game-playing computer programs.

Games Groups And The Global Good

Author : Simon A. Levin
ISBN : 3540854363
Genre : Business & Economics
File Size : 89. 62 MB
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How do groups form, how do institutions come into being, and when do moral norms and practices emerge? This volume explores how game-theoretic approaches can be extended to consider broader questions that cross scales of organization, from individuals to cooperatives to societies. Game theory' strategic formulation of central problems in the analysis of social interactions is used to develop multi-level theories that examine the interplay between individuals and the collectives they form. The concept of cooperation is examined at a higher level than that usually addressed by game theory, especially focusing on the formation of groups and the role of social norms in maintaining their integrity, with positive and negative implications. The authors suggest that conventional analyses need to be broadened to explain how heuristics, like concepts of fairness, arise and become formalized into the ethical principles embraced by a society.

Rationality In Extensive Form Games

Author : Andrés Perea
ISBN : 9781475733914
Genre : Business & Economics
File Size : 68. 19 MB
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Stability And Perfection Of Nash Equilibria

Author : Eric van Damme
ISBN : 9783642969782
Genre : Business & Economics
File Size : 50. 43 MB
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The last decade has seen a steady increase in the application of concepts from noncooperative game theory to such diverse fields as economics, political science, law, operations research, biology and social psychology. As a byproduct of this increased activity, there has been a growing awareness of the fact that the basic noncooperative solution concept, that of Nash equilibrium, suffers from severe drawbacks. The two main shortcomings of this concept are the following: (i) In extensive form games, a Nash strategy may prescribe off the equilibrium path behavior that is manifestly irrational. (Specifically, Nash equilibria may involve incredible threats), (ii) Nash equilibria need not be robust with respect to small perturbations in the data of the game. Confronted with the growing evidence to the detriment of the Nash concept, game theorists were prompted to search for more refined equilibrium notions with better properties and they have come up with a wide array of alternative solution concepts. This book surveys the most important refinements that have been introduced. Its objectives are fourfold (i) to illustrate desirable properties as well as drawbacks of the various equilibrium notions by means of simple specific examples, (ii) to study the relationships between the various refinements, (iii) to derive simplifying characterizations, and (iv) to discuss the plausibility of the assumptions underlying the concepts.

Decision And Game Theory For Security

Author : Linda Bushnell
ISBN : 9783030015541
Genre :
File Size : 63. 4 MB
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Game Theory As A Theory Of Conflict Resolution

Author : Anatol Rapoport
ISBN : 9789401021616
Genre : Social Science
File Size : 47. 7 MB
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Game theory could be formally defined as a theory of rational decision in conflict situations. Models of such situations, as they are conceived in game theory, involve (1) a set of decision makers, called players; (2) a set of strategies available to each player; (3) a set of outcomes, each of which is a result of particular choices of strategies made by the players on a given play of the game; and (4) a set of payoffs accorded to each player in each of the possible outcomes. It is assumed that each player is 'individually rational', in the sense that his preference ordering of the outcomes is determined by the order of magnitudes of his (and only his) associated payoffs. Further, a player is rational in the sense that he assumes that every other player is rational in the above sense. The rational player utilizes knowledge of the other players' payoffs in guiding his choice of strategy, because it gives him information about how the other players' choices are guided. Since, in general, the orders of magnitude of the payoffs that accrue to the several players in the several outcomes do not coincide, a game of strategy is a model of a situation involving conflicts of interests.

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