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Simple Adaptive Strategies: From Regret-matching To Uncoupled Dynamics (Hardcover): Sergiu Hart, Andreu Mas-Colell Simple Adaptive Strategies: From Regret-matching To Uncoupled Dynamics (Hardcover)
Sergiu Hart, Andreu Mas-Colell
R2,909 Discovery Miles 29 090 Ships in 12 - 17 working days

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-makers do not know each other's payoffs and utilities (so, while chosen actions may be observable, the motivations are not). This condition turns out to severely limit the equilibria that can be reached. Interestingly, there are connections to the behavioral and neurobiological sciences and also to computer science and engineering (e.g., via notions of "regret").Simple Adaptive Strategies is self-contained and unified in its presentation. Together with the formal treatment of concepts, theorems, and proofs, significant space is devoted to informal explanations and illuminating examples. It may be used for advanced graduate courses - in game theory, economics, mathematics, computer science, engineering - and for further research.

Cooperation: Game-Theoretic Approaches (Paperback, Softcover reprint of the original 1st ed. 1997): Sergiu Hart, Andreu... Cooperation: Game-Theoretic Approaches (Paperback, Softcover reprint of the original 1st ed. 1997)
Sergiu Hart, Andreu Mas-Colell
R2,803 Discovery Miles 28 030 Ships in 10 - 15 working days

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.

Nonlinearity of Davenport-Schinzel Sequences and of Generalized Path Compression Schemes (Paperback): Sergiu Hart, Micha Sharir Nonlinearity of Davenport-Schinzel Sequences and of Generalized Path Compression Schemes (Paperback)
Sergiu Hart, Micha Sharir
R342 Discovery Miles 3 420 Ships in 10 - 15 working days
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