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Congestion games viewed from M-convexity
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Description
Congestion games have extensively been studied till recently. It is shown by Fotakis (2010) that for every congestion game on an extension-parallel network, any best-response sequence reaches a pure Nash equilibrium of the game in n steps, where n is the number of players. We show that the fast convergence of best-response sequences results from M-convexity (of Murota (1996)) of the potential function associated with the game. We also give a characterization of M-convex functions in terms of greedy algorithms.
Journal
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- Operations Research Letters
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Operations Research Letters 43 (3), 329-333, 2015-04-17
Elsevier B.V.
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Details 詳細情報について
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- CRID
- 1050564285766786688
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- NII Article ID
- 120005608043
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- NII Book ID
- AA10628585
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- ISSN
- 01676377
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- HANDLE
- 2433/197956
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- Text Lang
- en
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- Article Type
- journal article
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- Data Source
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- IRDB
- Crossref
- CiNii Articles
- KAKEN
- OpenAIRE