Simple Adaptive Strategies From Regret Matching To Uncoupled Dynamics

Download or read book Simple Adaptive Strategies written by Sergiu Hart and published by World Scientific. This book was released on 2013 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 OCo boundedly rational behavior that yields fully rational outcomes in the long run OCo 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 OC regretOCO).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 OCo in game theory, economics, mathematics, computer science, engineering OCo and for further research.