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Aspiration Learning in Coordination Games

Chasparis, Georgios LU ; Arapostathis, Ari and Shamma, Jeff S. (2013) In SIAM Journal of Control and Optimization 51(1). p.465-490
Abstract
We consider the problem of distributed convergence to efficient outcomes in coordination games through dynamics based on aspiration learning. Our first contribution is the characterization of the asymptotic behavior of the induced Markov chain of the iterated process in terms of an equivalent finite-state Markov chain. We then characterize explicitly the behavior of the proposed aspiration learning in a generalized version of coordination games, examples of which include network formation and common-pool games. In particular, we show that in generic coordination games the frequency at which an efficient action profile is played can be made arbitrarily large. Although convergence to efficient outcomes is desirable, in several coordination... (More)
We consider the problem of distributed convergence to efficient outcomes in coordination games through dynamics based on aspiration learning. Our first contribution is the characterization of the asymptotic behavior of the induced Markov chain of the iterated process in terms of an equivalent finite-state Markov chain. We then characterize explicitly the behavior of the proposed aspiration learning in a generalized version of coordination games, examples of which include network formation and common-pool games. In particular, we show that in generic coordination games the frequency at which an efficient action profile is played can be made arbitrarily large. Although convergence to efficient outcomes is desirable, in several coordination games, such as common-pool games, attainability of fair outcomes, i.e., sequences of plays at which players experience highly rewarding returns with the same frequency, might also be of special interest. To this end, we demonstrate through analysis and simulations that aspiration learning also establishes fair outcomes in all symmetric coordination games, including common-pool games.





Read More: http://epubs.siam.org/doi/abs/10.1137/110852462 (Less)
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author
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organization
publishing date
type
Contribution to journal
publication status
published
subject
in
SIAM Journal of Control and Optimization
volume
51
issue
1
pages
465 - 490
publisher
Society for Industrial and Applied Mathematics
external identifiers
  • wos:000315578000020
  • scopus:84876114431
ISSN
1095-7138
DOI
10.1137/110852462
project
LCCC
language
English
LU publication?
yes
id
d5a5a9ac-a217-4a7e-a1e6-6acc7556ae5f (old id 3513141)
date added to LUP
2016-04-01 11:16:06
date last changed
2022-05-06 05:47:40
@article{d5a5a9ac-a217-4a7e-a1e6-6acc7556ae5f,
  abstract     = {{We consider the problem of distributed convergence to efficient outcomes in coordination games through dynamics based on aspiration learning. Our first contribution is the characterization of the asymptotic behavior of the induced Markov chain of the iterated process in terms of an equivalent finite-state Markov chain. We then characterize explicitly the behavior of the proposed aspiration learning in a generalized version of coordination games, examples of which include network formation and common-pool games. In particular, we show that in generic coordination games the frequency at which an efficient action profile is played can be made arbitrarily large. Although convergence to efficient outcomes is desirable, in several coordination games, such as common-pool games, attainability of fair outcomes, i.e., sequences of plays at which players experience highly rewarding returns with the same frequency, might also be of special interest. To this end, we demonstrate through analysis and simulations that aspiration learning also establishes fair outcomes in all symmetric coordination games, including common-pool games.<br/><br>
<br/><br>
<br/><br>
Read More: http://epubs.siam.org/doi/abs/10.1137/110852462}},
  author       = {{Chasparis, Georgios and Arapostathis, Ari and Shamma, Jeff S.}},
  issn         = {{1095-7138}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{465--490}},
  publisher    = {{Society for Industrial and Applied Mathematics}},
  series       = {{SIAM Journal of Control and Optimization}},
  title        = {{Aspiration Learning in Coordination Games}},
  url          = {{http://dx.doi.org/10.1137/110852462}},
  doi          = {{10.1137/110852462}},
  volume       = {{51}},
  year         = {{2013}},
}