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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-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.
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.
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