REGRET-BASED CONTINUOUS-TIME DYNAMICS
Sergiu Hart and
Andreu Mas-Colell
Chapter 5 in Simple Adaptive Strategies:From Regret-Matching to Uncoupled Dynamics, 2013, pp 99-124 from World Scientific Publishing Co. Pte. Ltd.
Abstract:
AbstractRegret-based dynamics have been introduced and studied in the context of discrete-time repeated play. Here we carry out the corresponding analysis in continuous time. We observe that, in contrast to (smooth) fictitious play or to evolutionary models, the appropriate state space for this analysis is the space of distributions on the product of the players' pure action spaces (rather than the product of their mixed action spaces). We obtain relatively simple proofs for some results known in the discrete case (related to “no-regret” and correlated equilibria), and also a new result on two-person potential games (for this result we also provide a discrete-time proof).
Keywords: Game Theory; Dynamics; Equilibrium; Nash Equilibrium; Correlated Equilibrium; Adaptive Dynamics; Simple Strategies; Regret-Based Strategies; Uncoupled Dynamics; Bounded Rationality (search for similar items in EconPapers)
Date: 2013
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Related works:
Journal Article: Regret-based continuous-time dynamics (2003) 
Working Paper: Regret-Based Continuous-Time Dynamics (2003) 
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