EconPapers    
Economics at your fingertips  
 

Limit Behavior of No-regret Dynamics

Andriy Zapechelnyuk

No 21, Discussion Papers from Kyiv School of Economics

Abstract: Consider a repeated game where all players follow no-regret strategies by reinforcing the actions that they regret not having played enough in the past. We show that a resulting no-regret dynamic approaches in the long run a best-response dynamic and leads to its invariant sets: rest points (Nash equilibria) or periodic orbits. The convergence results for best-response dynamics known in the literature immediately apply to no-regret dynamics. Thus, every no-regret dynamic leads to Nash equilibrium in zero-sum games, weighted potential and two-player ordinal potential games, supermodular games with diminishing returns, and some other special classes.

Keywords: Regret minimization; no-regret strategy; best-response dynamic; Nash equilibrium; Shapley polygon; curb set (search for similar items in EconPapers)
JEL-codes: C44 D81 D83 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-evo and nep-gth
Date: 2009-10
Note: Under review in Journal of Economic Theory
References: View references in EconPapers View complete reference list from CitEc
Citations Track citations by RSS feed

Downloads: (external link)
http://repec.kse.org.ua/pdf/KSE_dp21.pdf First version, October 2009 (application/pdf)

Related works:
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: http://EconPapers.repec.org/RePEc:kse:dpaper:21

Access Statistics for this paper

More papers in Discussion Papers from Kyiv School of Economics Contact information at EDIRC.
Series data maintained by Iryna Sobetska ().

 
Page updated 2017-07-08
Handle: RePEc:kse:dpaper:21