On Adaptive Heuristics that Converge to Correlated Equilibrium

I study the path properties of adaptive heuristics that mimic the natural dynamics of play in a game and converge to the set of correlated equilibria. Despite their apparent differences, I show that these heuristics have an abstract representation as a sequence of probability distributions that sati...

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Main Author: Ayan Bhattacharya
Format: Article
Language:English
Published: MDPI AG 2019-01-01
Series:Games
Subjects:
Online Access:https://www.mdpi.com/2073-4336/10/1/6
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spelling doaj-30a683e2b59348f1b4a8c588c15596b32020-11-25T01:06:23ZengMDPI AGGames2073-43362019-01-01101610.3390/g10010006g10010006On Adaptive Heuristics that Converge to Correlated EquilibriumAyan Bhattacharya0Bert W. Wasserman Department of Economics and Finance, Zicklin School of Business, Baruch College, The City University of New York, New York, NY 10010, USAI study the path properties of adaptive heuristics that mimic the natural dynamics of play in a game and converge to the set of correlated equilibria. Despite their apparent differences, I show that these heuristics have an abstract representation as a sequence of probability distributions that satisfy a number of common properties. These properties arise due to the topological structure of the set of correlated equilibria. The characterizations that I obtain have useful applications in the study of the convergence of the heuristics.https://www.mdpi.com/2073-4336/10/1/6adaptive heuristicscorrelated equilibriumconvergencerepeated gamesalgorithmic play
collection DOAJ
language English
format Article
sources DOAJ
author Ayan Bhattacharya
spellingShingle Ayan Bhattacharya
On Adaptive Heuristics that Converge to Correlated Equilibrium
Games
adaptive heuristics
correlated equilibrium
convergence
repeated games
algorithmic play
author_facet Ayan Bhattacharya
author_sort Ayan Bhattacharya
title On Adaptive Heuristics that Converge to Correlated Equilibrium
title_short On Adaptive Heuristics that Converge to Correlated Equilibrium
title_full On Adaptive Heuristics that Converge to Correlated Equilibrium
title_fullStr On Adaptive Heuristics that Converge to Correlated Equilibrium
title_full_unstemmed On Adaptive Heuristics that Converge to Correlated Equilibrium
title_sort on adaptive heuristics that converge to correlated equilibrium
publisher MDPI AG
series Games
issn 2073-4336
publishDate 2019-01-01
description I study the path properties of adaptive heuristics that mimic the natural dynamics of play in a game and converge to the set of correlated equilibria. Despite their apparent differences, I show that these heuristics have an abstract representation as a sequence of probability distributions that satisfy a number of common properties. These properties arise due to the topological structure of the set of correlated equilibria. The characterizations that I obtain have useful applications in the study of the convergence of the heuristics.
topic adaptive heuristics
correlated equilibrium
convergence
repeated games
algorithmic play
url https://www.mdpi.com/2073-4336/10/1/6
work_keys_str_mv AT ayanbhattacharya onadaptiveheuristicsthatconvergetocorrelatedequilibrium
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