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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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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1725190543104802816 |