A smoothing method for a class of generalized Nash equilibrium problems Article Swipe
Jun-Feng Lai
,
Jian Hou
,
Zong-Chuan Wen
·
YOU?
·
· 2015
· Open Access
·
· DOI: https://doi.org/10.1186/s13660-015-0607-6
YOU?
·
· 2015
· Open Access
·
· DOI: https://doi.org/10.1186/s13660-015-0607-6
The generalized Nash equilibrium problem is an extension of the standard Nash equilibrium problem where both the utility function and the strategy space of each player depend on the strategies chosen by all other players. Recently, the generalized Nash equilibrium problem has emerged as an effective and powerful tool for modeling a wide class of problems arising in many fields and yet solution algorithms are extremely scarce. In this paper, using a regularized Nikaido-Isoda function, we reformulate the generalized Nash equilibrium problem as a mathematical program with complementarity constraints (MPCC). We then propose a suitable method for this MPCC and under some conditions, we establish the convergence of the proposed method by showing that any accumulation point of the generated sequence is a M-stationary point of the MPCC. Numerical results on some generalized Nash equilibrium problems are reported to illustrate the behavior of our approach.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1186/s13660-015-0607-6
- https://journalofinequalitiesandapplications.springeropen.com/counter/pdf/10.1186/s13660-015-0607-6
- OA Status
- gold
- Cited By
- 2
- References
- 21
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2129138945
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- OpenAlex ID
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https://openalex.org/W2129138945Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1186/s13660-015-0607-6Digital Object Identifier
- Title
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A smoothing method for a class of generalized Nash equilibrium problemsWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
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2015Year of publication
- Publication date
-
2015-03-06Full publication date if available
- Authors
-
Jun-Feng Lai, Jian Hou, Zong-Chuan WenList of authors in order
- Landing page
-
https://doi.org/10.1186/s13660-015-0607-6Publisher landing page
- PDF URL
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https://journalofinequalitiesandapplications.springeropen.com/counter/pdf/10.1186/s13660-015-0607-6Direct link to full text PDF
- Open access
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YesWhether a free full text is available
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goldOpen access status per OpenAlex
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https://journalofinequalitiesandapplications.springeropen.com/counter/pdf/10.1186/s13660-015-0607-6Direct OA link when available
- Concepts
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Nash equilibrium, Mathematics, Mathematical optimization, Epsilon-equilibrium, Extension (predicate logic), Smoothing, Class (philosophy), Mathematical economics, Risk dominance, Best response, Applied mathematics, Computer science, Programming language, Statistics, Artificial intelligenceTop concepts (fields/topics) attached by OpenAlex
- Cited by
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2Total citation count in OpenAlex
- Citations by year (recent)
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2024: 1, 2019: 1Per-year citation counts (last 5 years)
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21Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.method | 95, 110 |
| abstract_inverted_index.paper, | 69 |
| abstract_inverted_index.player | 25 |
| abstract_inverted_index.(MPCC). | 89 |
| abstract_inverted_index.arising | 56 |
| abstract_inverted_index.emerged | 42 |
| abstract_inverted_index.problem | 4, 13, 40, 81 |
| abstract_inverted_index.program | 85 |
| abstract_inverted_index.propose | 92 |
| abstract_inverted_index.results | 129 |
| abstract_inverted_index.scarce. | 66 |
| abstract_inverted_index.showing | 112 |
| abstract_inverted_index.utility | 17 |
| abstract_inverted_index.behavior | 141 |
| abstract_inverted_index.function | 18 |
| abstract_inverted_index.modeling | 50 |
| abstract_inverted_index.players. | 34 |
| abstract_inverted_index.powerful | 47 |
| abstract_inverted_index.problems | 55, 135 |
| abstract_inverted_index.proposed | 109 |
| abstract_inverted_index.reported | 137 |
| abstract_inverted_index.sequence | 120 |
| abstract_inverted_index.solution | 62 |
| abstract_inverted_index.standard | 10 |
| abstract_inverted_index.strategy | 21 |
| abstract_inverted_index.suitable | 94 |
| abstract_inverted_index.Numerical | 128 |
| abstract_inverted_index.Recently, | 35 |
| abstract_inverted_index.approach. | 144 |
| abstract_inverted_index.effective | 45 |
| abstract_inverted_index.establish | 104 |
| abstract_inverted_index.extension | 7 |
| abstract_inverted_index.extremely | 65 |
| abstract_inverted_index.function, | 74 |
| abstract_inverted_index.generated | 119 |
| abstract_inverted_index.algorithms | 63 |
| abstract_inverted_index.illustrate | 139 |
| abstract_inverted_index.strategies | 29 |
| abstract_inverted_index.conditions, | 102 |
| abstract_inverted_index.constraints | 88 |
| abstract_inverted_index.convergence | 106 |
| abstract_inverted_index.equilibrium | 3, 12, 39, 80, 134 |
| abstract_inverted_index.generalized | 1, 37, 78, 132 |
| abstract_inverted_index.reformulate | 76 |
| abstract_inverted_index.regularized | 72 |
| abstract_inverted_index.M-stationary | 123 |
| abstract_inverted_index.accumulation | 115 |
| abstract_inverted_index.mathematical | 84 |
| abstract_inverted_index.Nikaido-Isoda | 73 |
| abstract_inverted_index.complementarity | 87 |
| cited_by_percentile_year.max | 94 |
| cited_by_percentile_year.min | 90 |
| countries_distinct_count | 1 |
| institutions_distinct_count | 3 |
| citation_normalized_percentile.value | 0.07407085 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |