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
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.worldscientific.com/doi/pdf/10.1142/9789814390705_0005 (application/pdf)
https://www.worldscientific.com/doi/abs/10.1142/9789814390705_0005 (text/html)
Ebook Access is available upon purchase.

Related works:
Journal Article: Regret-based continuous-time dynamics (2003)
Working Paper: Regret-Based Continuous-Time Dynamics (2003)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:wschap:9789814390705_0005

Ordering information: This item can be ordered from

Access Statistics for this chapter

More chapters in World Scientific Book Chapters from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().