Hadikhanloo, Saeed, Laraki, Rida 
ORCID: 0000-0002-4898-2424, Mertikopoulos, Panayotis and Sorin, Sylvain
(2022)
Learning in nonatomic games, part Ⅰ: Finite action spaces and population games.
Journal of Dynamics and Games.
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Abstract
<jats:p xml:lang="fr"><p style='text-indent:20px;'>We examine the long-run behavior of a wide range of dynamics for learning in nonatomic games, in both discrete and continuous time. The class of dynamics under consideration includes fictitious play and its regularized variants, the best reply dynamics (again, possibly regularized), as well as the dynamics of dual averaging / "follow the regularized leader" (which themselves include as special cases the replicator dynamics and Friedman's projection dynamics). Our analysis concerns both the actual trajectory of play and its time-average, and we cover potential and monotone games, as well as games with an evolutionarily stable state (global or otherwise). We focus exclusively on games with finite action spaces; nonatomic games with continuous action spaces are treated in detail in Part Ⅱ.</p></jats:p>
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science and Engineering > School of Electrical Engineering, Electronics and Computer Science |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 15 Aug 2022 12:56 |
| Last Modified: | 18 Jan 2023 20:53 |
| DOI: | 10.3934/jdg.2022018 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3161290 |
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