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This volume collects almost two decades of joint work of Sergiu Hart and Andreu Mas-Colell on game dynamics and equilibria. The starting point was the introduction of the adaptive strategy called regret-matching, which on the one hand is simple and natural, and on the other is shown to lead to correlated equilibria. This initial finding - boundedly rational behavior that yields fully rational outcomes in the long run - generated a large body of work on the dynamics of simple adaptive strategies. In particular, a natural condition on dynamics was identified: uncoupledness, whereby decision-make

Games of strategy (Mathematics) --- Heuristic algorithms. --- Heuristics (Computer algorithms) --- Computer algorithms --- Games with rational pay-off (Mathematics) --- Rational games (Mathematics) --- Strategy, Games of (Mathematics) --- Game theory --- Group theory --- Mathematical optimization --- Matrices --- Topology --- Heuristic algorithms

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In 1984, Robert Axelrod published a book, relating the story of two competitions which he ran, where invited academics entered strategies for the Iterated Prisoners' Dilemma. The book, almost 20 years on, is still widely read and cited by academics and the general public. As a celebration of that landmark work, we have recreated those competitions to celebrate its 20th anniversary, by again inviting academics to submit prisoners' dilemma strategies. The first of these new competitions was run in July 2004, and the second in April 2005. Iterated Prisoners' Dilemma: 20 Years On essentially provi

Prisoner's dilemma game --- Games of strategy (Mathematics) --- Cooperativeness. --- Consensus (Social sciences) --- Authority --- Common good --- General will --- Power (Social sciences) --- Cooperation (Psychology) --- Social psychology --- Games with rational pay-off (Mathematics) --- Rational games (Mathematics) --- Strategy, Games of (Mathematics) --- Game theory --- Group theory --- Mathematical optimization --- Matrices --- Topology --- Decomposed prisoner's dilemma game --- Choice (Psychology) --- Social interaction --- Computer simulation. --- Axelrod, Robert M. --- Games of strategy --- Cooperativeness

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Game theory explains how to make good choices when different decision makers have conflicting interests. The classical approach assumes that decision makers are committed to making the best choices for themselves regardless of the effect on others, but such an approach is less appropriate when cooperation, compromise and negotiation are important. This book describes conditional games, a form of game theory that accommodates multiple stakeholder decision-making scenarios where cooperation and negotiation are significant issues and where notions of concordant group behavior are important. Using classical binary preference relations as a point of departure, the book extends the concept of a preference ordering that permits stakeholders to modulate their preferences as functions of the preferences of others. As these conditional preferences propagate through a group of decision makers, they create social bonds that lead to notions of group concordance. This book is intended for all students and researchers of decision theory and game theory.

Operational research. Game theory --- Decision Making --- Games of strategy (Mathematics) --- Decision making. --- Basic Sciences. Mathematics --- Applied Mathematics --- Games of strategy (Mathematics). --- Applied Mathematics. --- Decision making --- Games with rational pay-off (Mathematics) --- Rational games (Mathematics) --- Strategy, Games of (Mathematics) --- Game theory --- Group theory --- Mathematical optimization --- Matrices --- Topology --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management --- Management decisions --- Choice (Psychology) --- Problem solving --- Information Technology --- Computer Science (Hardware & Networks)

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Strategic behavior is the key to social interaction, from the ever-evolving world of living beings to the modern theatre of designed computational agents. Strategies can make or break participants’ aspirations, whether they are selling a house, playing the stock market, or working toward a treaty that limits global warming. This book aims at understanding the phenomenon of strategic behavior in its proper width and depth. A number of experts have combined forces in order to create a comparative view of the different frameworks for strategic reasoning in social interactions that have been developed in game theory, computer science, logic, linguistics, philosophy, and cognitive and social sciences. The chapters are organized in three topic-based sections, namely reasoning about games; formal frameworks for strategies; and strategies in social situations. The book concludes with a discussion on the future of logical studies of strategies.

Mathematical Theory --- Mathematics --- Physical Sciences & Mathematics --- Computer science. --- Computer communication systems. --- Software engineering. --- Algorithms. --- Computer logic. --- Mathematical logic. --- Computer Science. --- Mathematical Logic and Formal Languages. --- Logics and Meanings of Programs. --- Computer Communication Networks. --- Software Engineering. --- Information Systems Applications (incl. Internet). --- Algorithm Analysis and Problem Complexity. --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Computer science logic --- Logic, Symbolic and mathematical --- Algorism --- Algebra --- Arithmetic --- Computer software engineering --- Engineering --- Communication systems, Computer --- Computer communication systems --- Data networks, Computer --- ECNs (Electronic communication networks) --- Electronic communication networks --- Networks, Computer --- Teleprocessing networks --- Data transmission systems --- Digital communications --- Electronic systems --- Information networks --- Telecommunication --- Cyberinfrastructure --- Electronic data processing --- Network computers --- Informatics --- Science --- Foundations --- Distributed processing --- Logic design. --- Computer software. --- Software, Computer --- Computer systems --- Design, Logic --- Design of logic systems --- Digital electronics --- Electronic circuit design --- Logic circuits --- Machine theory --- Switching theory --- Games of strategy (Mathematics) --- Games with rational pay-off (Mathematics) --- Rational games (Mathematics) --- Strategy, Games of (Mathematics) --- Game theory --- Group theory --- Mathematical optimization --- Matrices --- Topology --- Application software. --- Application computer programs --- Application computer software --- Applications software --- Apps (Computer software) --- Computer software --- Machine theory. --- Computer networks. --- Formal Languages and Automata Theory. --- Computer Science Logic and Foundations of Programming. --- Computer and Information Systems Applications. --- Abstract automata --- Abstract machines --- Automata --- Mathematical machine theory --- Algorithms --- Recursive functions --- Robotics