Convergence of best-response dynamics in games with conflicting congestion effects

Michal Feldman; Tami Tamir

doi:10.1007/978-3-642-35311-6_38

Convergence of best-response dynamics in games with conflicting congestion effects

Michal Feldman^*, Tami Tamir

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

5 Scopus citations

Abstract

We study the model of resource allocation games with conflicting congestion effects introduced by Feldman and Tamir (2012). In this model, an agent's cost consists of its resource's load (which increases with congestion) and its share in the resource's activation cost (which decreases with congestion). The current work studies the convergence rate of best-response dynamics (BRD) in the case of homogeneous agents. Even within this simple setting, interesting phenomena arise. We show that, in contrast to standard congestion games with identical jobs and resources, the convergence rate of BRD under conflicting congestion effects might be super-linear in the number of jobs. Nevertheless, a specific form of BRD is proposed, which is guaranteed to converge in linear time.

Original language	English
Title of host publication	Internet and Network Economics - 8th International Workshop, WINE 2012, Proceedings
Pages	496-503
Number of pages	8
DOIs	https://doi.org/10.1007/978-3-642-35311-6_38
State	Published - 2012
Externally published	Yes
Event	8th International Workshop on Internet and Network Economics, WINE 2012 - Liverpool, United Kingdom Duration: 10 Dec 2012 → 12 Dec 2012

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	7695 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	8th International Workshop on Internet and Network Economics, WINE 2012
Country/Territory	United Kingdom
City	Liverpool
Period	10/12/12 → 12/12/12

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10.1007/978-3-642-35311-6_38

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Feldman, M., & Tamir, T. (2012). Convergence of best-response dynamics in games with conflicting congestion effects. In Internet and Network Economics - 8th International Workshop, WINE 2012, Proceedings (pp. 496-503). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 7695 LNCS). https://doi.org/10.1007/978-3-642-35311-6_38

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abstract = "We study the model of resource allocation games with conflicting congestion effects introduced by Feldman and Tamir (2012). In this model, an agent's cost consists of its resource's load (which increases with congestion) and its share in the resource's activation cost (which decreases with congestion). The current work studies the convergence rate of best-response dynamics (BRD) in the case of homogeneous agents. Even within this simple setting, interesting phenomena arise. We show that, in contrast to standard congestion games with identical jobs and resources, the convergence rate of BRD under conflicting congestion effects might be super-linear in the number of jobs. Nevertheless, a specific form of BRD is proposed, which is guaranteed to converge in linear time.",

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Feldman, M & Tamir, T 2012, Convergence of best-response dynamics in games with conflicting congestion effects. in Internet and Network Economics - 8th International Workshop, WINE 2012, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 7695 LNCS, pp. 496-503, 8th International Workshop on Internet and Network Economics, WINE 2012, Liverpool, United Kingdom, 10/12/12. https://doi.org/10.1007/978-3-642-35311-6_38

Convergence of best-response dynamics in games with conflicting congestion effects. / Feldman, Michal; Tamir, Tami.
Internet and Network Economics - 8th International Workshop, WINE 2012, Proceedings. 2012. p. 496-503 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 7695 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Feldman M, Tamir T. Convergence of best-response dynamics in games with conflicting congestion effects. In Internet and Network Economics - 8th International Workshop, WINE 2012, Proceedings. 2012. p. 496-503. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-642-35311-6_38

Convergence of best-response dynamics in games with conflicting congestion effects

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