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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2015, Volume 7, Issue 1, Pages 74–91 (Mi mgta153)  
This article is cited in 14 scientific papers (total in 14 papers)

Pareto-equilibrium strategy profile

Vladislav I. Zhukovskiya, Konstantin N. Kudryavtsevb

a Moscow State University
b South Ural State University
Full-text PDF (481 kB) Citations (14)
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Abstract: In the article the strategy profiles that are the Pareto-optimal the Nash equilibriums are considered. Sufficient conditions for existence of the equilibrium for the pure strategies are found. These conditions use the Germier convolutions of the utility functions. For non-cooperative games with compact strategy sets and with continuous utility functions existence of the Pareto-optimal Nash equilibriums in mixed strategies is proved.
Keywords: non-cooperative game, mixed strategies, Nash equilibrium, Pareto optimums.
English version:
Automation and Remote Control, 2016, Volume 77, Issue 8, Pages 1500–1510
DOI: https://doi.org/10.1134/S0005117916080154
Bibliographic databases:
Document Type: Article
UDC: 519.833
MSC: 22.18
Language: Russian
Citation: Vladislav I. Zhukovskiy, Konstantin N. Kudryavtsev, “Pareto-equilibrium strategy profile”, Mat. Teor. Igr Pril., 7:1 (2015), 74–91; Autom. Remote Control, 77:8 (2016), 1500–1510
Citation in format AMSBIB
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\by Vladislav~I.~Zhukovskiy, Konstantin~N.~Kudryavtsev
\paper Pareto-equilibrium strategy profile
\jour Mat. Teor. Igr Pril.
\yr 2015
\vol 7
\issue 1
\pages 74--91
\mathnet{http://mi.mathnet.ru/mgta153}
\transl
\jour Autom. Remote Control
\yr 2016
\vol 77
\issue 8
\pages 1500--1510
\crossref{https://doi.org/10.1134/S0005117916080154}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000382146700015}
Linking options:
  • https://www.mathnet.ru/eng/mgta153
  • https://www.mathnet.ru/eng/mgta/v7/i1/p74
    • This publication is cited in the following 14 articles:
    1. Qian Li, Chao Xue, Mingming Li, Chun-Guang Li, Chao Ma, Xiaokang Yang, “Neural Architecture Selection as a Nash Equilibrium With Batch Entanglement”, IEEE Trans. Neural Netw. Learning Syst., 35:11 (2024), 15195  crossref
    2. Wassim M.L Koribeche, David Espes, Cédric Morin, 2024 4th Intelligent Cybersecurity Conference (ICSC), 2024, 166  crossref
    3. Dong Wang, Daniel 'Yue' Zhang, Social Edge Computing, 2023, 71  crossref
    4. Ang Ji, Mohsen Ramezani, David Levinson, “Pricing lane changes”, Transportation Research Part C: Emerging Technologies, 149 (2023), 104062  crossref
    5. Lidiya V. Zhukovskaya, Lecture Notes in Networks and Systems, 442, System Analysis in Engineering and Control, 2022, 273  crossref
    6. Konstantin Kudryavtsev, Ustav Malkov, “Weak Berge Equilibrium in Finite Three-person Games: Conception and Computation”, Open Computer Science, 11:1 (2021), 127  crossref
    7. Chenhui Zhao, Donghui Guo, “Particle Swarm Optimization Algorithm With Self-Organizing Mapping for Nash Equilibrium Strategy in Application of Multiobjective Optimization”, IEEE Trans. Neural Netw. Learning Syst., 32:11 (2021), 5179  crossref
    8. Mindia E. Salukvadze, Vladislav I. Zhukovskiy, Static & Dynamic Game Theory: Foundations & Applications, The Berge Equilibrium: A Game-Theoretic Framework for the Golden Rule of Ethics, 2020, 175  crossref
    9. Rohini Das, Sayan Goswami, Amit Konar, 2019 10th International Conference on Computing, Communication and Networking Technologies (ICCCNT), 2019, 1  crossref
    10. V. I. Zhukovskiy, K. N. Kudryavtsev, S. A. Shunailova, I. S. Stabulit, “Kooperatsiya v konflikte n lits pri neopredelennosti”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 12:4 (2019), 29–40  mathnet  crossref
    11. Daniel Zhang, Nathan Vance, Yang Zhang, Md Tahmid Rashid, Dong Wang, 2019 IEEE Real-Time Systems Symposium (RTSS), 2019, 366  crossref
    12. M. Larbani, V. I. Zhukovskii, “Berge equilibrium in normal form static games: a literature review”, Izv. IMI UdGU, 49 (2017), 80–110  mathnet  crossref  elib
    13. Konstantin Kudryavtsev, Vladislav Zhukovskiy, Irina Stabulit, 2017 Constructive Nonsmooth Analysis and Related Topics (dedicated to the memory of V.F. Demyanov) (CNSA), 2017, 1  crossref
    14. Vladislav Zhukovskiy, Konstantin Kudryavtsev, 2017 Constructive Nonsmooth Analysis and Related Topics (dedicated to the memory of V.F. Demyanov) (CNSA), 2017, 1  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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