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Generalized Nash Equilibrium Problems

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Cited by:

  1. Longfei He & Qinxu Gu & Junsong Bian & Kin Keung Lai & Xiao Zhang, 2023. "To Pool or Not to Pool in Carbon Quotas: Analyses of Emission Regulation and Operations in Supply Chain Supernetwork under Cap-and-Trade Policy," Annals of Operations Research, Springer, vol. 324(1), pages 311-353, May.
  2. Jian Ni & Lap Keung Chu & Shoude Li, 2018. "Financial hedging and competitive strategy for value-maximizing firms under quantity competition," Annals of Operations Research, Springer, vol. 264(1), pages 391-407, May.
  3. Oliver Stein & Nathan Sudermann-Merx, 2016. "The Cone Condition and Nonsmoothness in Linear Generalized Nash Games," Journal of Optimization Theory and Applications, Springer, vol. 170(2), pages 687-709, August.
  4. Anna Nagurney & Min Yu & Deniz Besik, 2017. "Supply chain network capacity competition with outsourcing: a variational equilibrium framework," Journal of Global Optimization, Springer, vol. 69(1), pages 231-254, September.
  5. Stefano Coniglio & Mathias Sirvent & Martin Weibelzahl, 2021. "Airport capacity extension, fleet investment, and optimal aircraft scheduling in a multilevel market model: quantifying the costs of imperfect markets," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 43(2), pages 367-408, June.
  6. Pin-Bo Chen & Gui-Hua Lin & Xide Zhu & Fusheng Bai, 2021. "Smoothing Newton method for nonsmooth second-order cone complementarity problems with application to electric power markets," Journal of Global Optimization, Springer, vol. 80(3), pages 635-659, July.
  7. Brangewitz, Sonja & Giraud, Gael, 2016. "Learning in Infinite Horizon Strategic Market Games with Collateral and Incomplete Information," Center for Mathematical Economics Working Papers 456, Center for Mathematical Economics, Bielefeld University.
  8. Sreekumaran, Harikrishnan & Hota, Ashish R. & Liu, Andrew L. & Uhan, Nelson A. & Sundaram, Shreyas, 2021. "Equilibrium strategies for multiple interdictors on a common network," European Journal of Operational Research, Elsevier, vol. 288(2), pages 523-538.
  9. Pankaj Gautam & Daya Ram Sahu & Avinash Dixit & Tanmoy Som, 2021. "Forward–Backward–Half Forward Dynamical Systems for Monotone Inclusion Problems with Application to v-GNE," Journal of Optimization Theory and Applications, Springer, vol. 190(2), pages 491-523, August.
  10. Sonja Brangewitz & Gaël Giraud, 2012. "Learning by Trading in Infinite Horizon Strategic Market Games with Default," Documents de travail du Centre d'Economie de la Sorbonne 12062r, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised Oct 2013.
  11. Rahman Khorramfar & Osman Y. Özaltın & Karl G. Kempf & Reha Uzsoy, 2022. "Managing Product Transitions: A Bilevel Programming Approach," INFORMS Journal on Computing, INFORMS, vol. 34(5), pages 2828-2844, September.
  12. Li, Zhikang & Ma, Chengbin, 2022. "A temporal–spatial charging coordination scheme incorporating probability of EV charging availability," Applied Energy, Elsevier, vol. 325(C).
  13. Shipra Singh & Aviv Gibali & Simeon Reich, 2021. "Multi-Time Generalized Nash Equilibria with Dynamic Flow Applications," Mathematics, MDPI, vol. 9(14), pages 1-23, July.
  14. Denizalp Goktas & Jiayi Zhao & Amy Greenwald, 2022. "Robust No-Regret Learning in Min-Max Stackelberg Games," Papers 2203.14126, arXiv.org, revised Apr 2022.
  15. Walter Trockel & Claus-Jochen Haake, 2017. "Thoughts on Social Design," Working Papers CIE 107, Paderborn University, CIE Center for International Economics.
  16. Denizalp Goktas & Amy Greenwald, 2022. "Gradient Descent Ascent in Min-Max Stackelberg Games," Papers 2208.09690, arXiv.org.
  17. Rahman Khorramfar & Osman Ozaltin & Reha Uzsoy & Karl Kempf, 2024. "Coordinating Resource Allocation during Product Transitions Using a Multifollower Bilevel Programming Model," Papers 2401.17402, arXiv.org.
  18. Massimo Pappalardo & Giandomenico Mastroeni & Mauro Passacantando, 2016. "Merit functions: a bridge between optimization and equilibria," Annals of Operations Research, Springer, vol. 240(1), pages 271-299, May.
  19. Simone Sagratella, 2017. "Computing equilibria of Cournot oligopoly models with mixed-integer quantities," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 86(3), pages 549-565, December.
  20. Jiawang Nie & Xindong Tang & Lingling Xu, 2021. "The Gauss–Seidel method for generalized Nash equilibrium problems of polynomials," Computational Optimization and Applications, Springer, vol. 78(2), pages 529-557, March.
  21. Axel Dreves, 2017. "Computing all solutions of linear generalized Nash equilibrium problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 85(2), pages 207-221, April.
  22. Nadja Harms & Tim Hoheisel & Christian Kanzow, 2015. "On a Smooth Dual Gap Function for a Class of Player Convex Generalized Nash Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 166(2), pages 659-685, August.
  23. G. C. Bento & J. X. Cruz Neto & P. A. Soares & A. Soubeyran, 2022. "A new regularization of equilibrium problems on Hadamard manifolds: applications to theories of desires," Annals of Operations Research, Springer, vol. 316(2), pages 1301-1318, September.
  24. L. F. Bueno & G. Haeser & F. Lara & F. N. Rojas, 2020. "An Augmented Lagrangian method for quasi-equilibrium problems," Computational Optimization and Applications, Springer, vol. 76(3), pages 737-766, July.
  25. Giancarlo Bigi & Mauro Passacantando, 2016. "Gap functions for quasi-equilibria," Journal of Global Optimization, Springer, vol. 66(4), pages 791-810, December.
  26. Dongwei Zhao & Sarah Coyle & Apurba Sakti & Audun Botterud, 2022. "Market Mechanisms for Low-Carbon Electricity Investments: A Game-Theoretical Analysis," Papers 2212.06984, arXiv.org, revised Aug 2023.
  27. Wu, Yuxin & Yan, Haoyuan & Liu, Min & Zhao, Tianyang & Qiu, Jiayu & Liu, Shengwei, 2023. "Distributed energy trading on networked energy hubs under network constraints," Renewable Energy, Elsevier, vol. 209(C), pages 491-504.
  28. Amir Gandomi & Amirhossein Bazargan & Saeed Zolfaghari, 2019. "Designing competitive loyalty programs: a stochastic game-theoretic model to guide the choice of reward structure," Annals of Operations Research, Springer, vol. 280(1), pages 267-298, September.
  29. Kordonis, Ioannis & Lagos, Athanasios-Rafail & Papavassilopoulos, George P., 2022. "Nash social distancing games with equity constraints: How inequality aversion affects the spread of epidemics," Applied Mathematics and Computation, Elsevier, vol. 434(C).
  30. Feng, Pingping & Zhou, Xiaoyang & Zhang, Ding & Chen, Zhaobo & Wang, Shouyang, 2022. "The impact of trade policy on global supply chain network equilibrium: A new perspective of product-market chain competition," Omega, Elsevier, vol. 109(C).
  31. Zheng-Hai Huang & Liqun Qi, 2017. "Formulating an n-person noncooperative game as a tensor complementarity problem," Computational Optimization and Applications, Springer, vol. 66(3), pages 557-576, April.
  32. D. Aussel & J. Cotrina, 2013. "Quasimonotone Quasivariational Inequalities: Existence Results and Applications," Journal of Optimization Theory and Applications, Springer, vol. 158(3), pages 637-652, September.
  33. Lorenzo Lampariello & Simone Sagratella, 2015. "It is a matter of hierarchy: a Nash equilibrium problem perspective on bilevel programming," DIAG Technical Reports 2015-07, Department of Computer, Control and Management Engineering, Universita' degli Studi di Roma "La Sapienza".
  34. Zheng Peng & Wenxing Zhu, 2013. "An Alternating Direction Method for Nash Equilibrium of Two-Person Games with Alternating Offers," Journal of Optimization Theory and Applications, Springer, vol. 157(2), pages 533-551, May.
  35. Anita Schöbel & Silvia Schwarze, 2013. "Finding delay-resistant line concepts using a game-theoretic approach," Netnomics, Springer, vol. 14(3), pages 95-117, November.
  36. Zhang, Kenan & Nie, Yu (Marco), 2021. "Inter-platform competition in a regulated ride-hail market with pooling," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 151(C).
  37. Vladimir Shikhman, 2022. "On local uniqueness of normalized Nash equilibria," Papers 2205.13878, arXiv.org.
  38. Leilei Zhang & Guping Hu & Lizhi Wang & Yihsu Chen, 2016. "A bottom-up biofuel market equilibrium model for policy analysis," Annals of Operations Research, Springer, vol. 236(1), pages 75-101, January.
  39. Francisco Facchinei & Jong-Shi Pang & Gesualdo Scutari, 2014. "Non-cooperative games with minmax objectives," Computational Optimization and Applications, Springer, vol. 59(1), pages 85-112, October.
  40. Alexey Izmailov & Mikhail Solodov, 2014. "On error bounds and Newton-type methods for generalized Nash equilibrium problems," Computational Optimization and Applications, Springer, vol. 59(1), pages 201-218, October.
  41. Corine M. Laan & Judith Timmer & Richard J. Boucherie, 2021. "Non-cooperative queueing games on a network of single server queues," Queueing Systems: Theory and Applications, Springer, vol. 97(3), pages 279-301, April.
  42. Claire Mouminoux & Christophe Dutang & Stéphane Loisel & Hansjoerg Albrecher, 2022. "On a Markovian Game Model for Competitive Insurance Pricing," Methodology and Computing in Applied Probability, Springer, vol. 24(2), pages 1061-1091, June.
  43. Nagurney, Anna & Besik, Deniz & Li, Dong, 2019. "Strict quotas or tariffs? Implications for product quality and consumer welfare in differentiated product supply chains," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 129(C), pages 136-161.
  44. Braouezec, Yann & Kiani, Keyvan, 2023. "Economic foundations of generalized games with shared constraint: Do binding agreements lead to less Nash equilibria?," European Journal of Operational Research, Elsevier, vol. 308(1), pages 467-479.
  45. Wang, Cheng & Sayed, Ahmed Rabee & Zhang, Han & Zhang, Xian & Ren, Jianpeng & Jia, Qiyue & Bi, Tianshu, 2023. "Two-stage distributionally robust strategic offering in pool-based coupled electricity and gas market," Energy, Elsevier, vol. 265(C).
  46. Lorenzo Lampariello & Simone Sagratella, 2017. "A Bridge Between Bilevel Programs and Nash Games," Journal of Optimization Theory and Applications, Springer, vol. 174(2), pages 613-635, August.
  47. Allevi, E. & Conejo, A.J. & Oggioni, G. & Riccardi, R. & Ruiz, C., 2018. "Evaluating the strategic behavior of cement producers: An equilibrium problem with equilibrium constraints," European Journal of Operational Research, Elsevier, vol. 264(2), pages 717-731.
  48. Yann BRAOUEZEC & Keyvan KIANI, 2021. "Economic foundations of generalized games with shared constraint: Do binding agreements lead to less Nash equilibria?," Working Papers 2021-ACF-06, IESEG School of Management.
  49. Axel Dreves, 2019. "An algorithm for equilibrium selection in generalized Nash equilibrium problems," Computational Optimization and Applications, Springer, vol. 73(3), pages 821-837, July.
  50. Sagratella, Simone & Schmidt, Marcel & Sudermann-Merx, Nathan, 2020. "The noncooperative fixed charge transportation problem," European Journal of Operational Research, Elsevier, vol. 284(1), pages 373-382.
  51. Christian Kanzow & Daniel Steck, 2018. "Augmented Lagrangian and exact penalty methods for quasi-variational inequalities," Computational Optimization and Applications, Springer, vol. 69(3), pages 801-824, April.
  52. Stein, Oliver & Sudermann-Merx, Nathan, 2018. "The noncooperative transportation problem and linear generalized Nash games," European Journal of Operational Research, Elsevier, vol. 266(2), pages 543-553.
  53. Chen, Li-Ming & Chang, Wei-Lun, 2020. "Under what conditions can an application service firm with in-house computing benefit from cloudbursting?," European Journal of Operational Research, Elsevier, vol. 282(1), pages 71-80.
  54. Xepapadeas, Petros, 2023. "Multi-agent, multi-site resource allocation under quotas with a Stackelberg leader and network externalities," Economic Modelling, Elsevier, vol. 121(C).
  55. Axel Dreves, 2018. "How to Select a Solution in Generalized Nash Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 178(3), pages 973-997, September.
  56. Axel Dreves, 2016. "Improved error bound and a hybrid method for generalized Nash equilibrium problems," Computational Optimization and Applications, Springer, vol. 65(2), pages 431-448, November.
  57. Aiyuan Tao & X. Henry Wang & Bill Z. Yang, 2018. "Duopoly models with a joint capacity constraint," Journal of Economics, Springer, vol. 125(2), pages 159-172, October.
  58. Leonardo Galli & Christian Kanzow & Marco Sciandrone, 2018. "A nonmonotone trust-region method for generalized Nash equilibrium and related problems with strong convergence properties," Computational Optimization and Applications, Springer, vol. 69(3), pages 629-652, April.
  59. Axel Dreves & Francisco Facchinei & Andreas Fischer & Markus Herrich, 2014. "A new error bound result for Generalized Nash Equilibrium Problems and its algorithmic application," Computational Optimization and Applications, Springer, vol. 59(1), pages 63-84, October.
  60. E. N. Barron & K. T. Nguyen, 2023. "Generalized Differential Games," Dynamic Games and Applications, Springer, vol. 13(3), pages 705-720, September.
  61. Aussel, Didier & Cao Van, Kien & Salas, David, 2023. "Optimal design of exchange water networks with control inputs in Eco-Industrial Parks," Energy Economics, Elsevier, vol. 120(C).
  62. D. Dorsch & H. T. Jongen & V. Shikhman, 2013. "On Intrinsic Complexity of Nash Equilibrium Problems and Bilevel Optimization," Journal of Optimization Theory and Applications, Springer, vol. 159(3), pages 606-634, December.
  63. Andreas Fischer & Markus Herrich & Alexey Izmailov & Mikhail Solodov, 2016. "Convergence conditions for Newton-type methods applied to complementarity systems with nonisolated solutions," Computational Optimization and Applications, Springer, vol. 63(2), pages 425-459, March.
  64. A. Izmailov & M. Solodov, 2015. "Rejoinder on: Critical Lagrange multipliers: what we currently know about them, how they spoil our lives, and what we can do about it," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(1), pages 48-52, April.
  65. Nagurney, Anna, 2021. "Supply chain game theory network modeling under labor constraints: Applications to the Covid-19 pandemic," European Journal of Operational Research, Elsevier, vol. 293(3), pages 880-891.
  66. Reza-Gharehbagh, Raziyeh & Asian, Sobhan & Hafezalkotob, Ashkan & Wei, Chen, 2021. "Reframing supply chain finance in an era of reglobalization: On the value of multi-sided crowdfunding platforms," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 149(C).
  67. Gaobo Li & Yanxia Lu & Yeol Je Cho, 2019. "Viscosity extragradient method with Armijo linesearch rule for pseudomonotone equilibrium problem and fixed point problem in Hilbert spaces," Indian Journal of Pure and Applied Mathematics, Springer, vol. 50(4), pages 903-921, December.
  68. Leilei Zhang & Guping Hu & Lizhi Wang & Yihsu Chen, 2016. "A bottom-up biofuel market equilibrium model for policy analysis," Annals of Operations Research, Springer, vol. 236(1), pages 75-101, January.
  69. Hideaki Iiduka, 2021. "Inexact stochastic subgradient projection method for stochastic equilibrium problems with nonmonotone bifunctions: application to expected risk minimization in machine learning," Journal of Global Optimization, Springer, vol. 80(2), pages 479-505, June.
  70. Xia, Yuanxing & Xu, Qingshan & Chen, Lu & Du, Pengwei, 2022. "The flexible roles of distributed energy storages in peer-to-peer transactive energy market: A state-of-the-art review," Applied Energy, Elsevier, vol. 327(C).
  71. Otgochuluu, Ch. & Altangerel, L. & Battur, G. & Khashchuluun, Ch. & Dorjsundui, G., 2021. "A game theory application in the copper market," Resources Policy, Elsevier, vol. 70(C).
  72. Liu, Jiangtao & Zhou, Xuesong, 2016. "Capacitated transit service network design with boundedly rational agents," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 225-250.
  73. Axel Dreves & Simone Sagratella, 2020. "Nonsingularity and Stationarity Results for Quasi-Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 185(3), pages 711-743, June.
  74. Ming Hu & Masao Fukushima, 2011. "Variational Inequality Formulation of a Class of Multi-Leader-Follower Games," Journal of Optimization Theory and Applications, Springer, vol. 151(3), pages 455-473, December.
  75. Gábor Kassay & Mihaela Miholca, 2015. "Existence results for vector equilibrium problems given by a sum of two functions," Journal of Global Optimization, Springer, vol. 63(1), pages 195-211, September.
  76. Migot, Tangi & Cojocaru, Monica-G., 2020. "A parametrized variational inequality approach to track the solution set of a generalized nash equilibrium problem," European Journal of Operational Research, Elsevier, vol. 283(3), pages 1136-1147.
  77. E. Allevi & A. Gnudi & I. V. Konnov & G. Oggioni, 2018. "Decomposition method for oligopolistic competitive models with common environmental regulation," Annals of Operations Research, Springer, vol. 268(1), pages 441-467, September.
  78. E. Allevi & G. Oggioni & R. Riccardi & M. Rocco, 2017. "An equilibrium model for the cement sector: EU-ETS analysis with power contracts," Annals of Operations Research, Springer, vol. 255(1), pages 63-93, August.
  79. Pin-Bo Chen & Peng Zhang & Xide Zhu & Gui-Hua Lin, 2020. "Modified Jacobian smoothing method for nonsmooth complementarity problems," Computational Optimization and Applications, Springer, vol. 75(1), pages 207-235, January.
  80. Marian Leimbach & Anselm Schultes & Lavinia Baumstark & Anastasis Giannousakis & Gunnar Luderer, 2017. "Solution algorithms for regional interactions in large-scale integrated assessment models of climate change," Annals of Operations Research, Springer, vol. 255(1), pages 29-45, August.
  81. I. Konnov, 2014. "On penalty methods for non monotone equilibrium problems," Journal of Global Optimization, Springer, vol. 59(1), pages 131-138, May.
  82. Victor Picheny & Mickael Binois & Abderrahmane Habbal, 2019. "A Bayesian optimization approach to find Nash equilibria," Journal of Global Optimization, Springer, vol. 73(1), pages 171-192, January.
  83. Denizalp Goktas & Jiayi Zhao & Amy Greenwald, 2023. "T\^atonnement in Homothetic Fisher Markets," Papers 2306.04890, arXiv.org.
  84. Lorenzo Lampariello & Simone Sagratella, 2020. "Numerically tractable optimistic bilevel problems," Computational Optimization and Applications, Springer, vol. 76(2), pages 277-303, June.
  85. Simone Sagratella, 2017. "Algorithms for generalized potential games with mixed-integer variables," Computational Optimization and Applications, Springer, vol. 68(3), pages 689-717, December.
  86. Anselmi, Jonatha & Ardagna, Danilo & Passacantando, Mauro, 2014. "Generalized Nash equilibria for SaaS/PaaS Clouds," European Journal of Operational Research, Elsevier, vol. 236(1), pages 326-339.
  87. Bigi, Giancarlo & Castellani, Marco & Pappalardo, Massimo & Passacantando, Mauro, 2013. "Existence and solution methods for equilibria," European Journal of Operational Research, Elsevier, vol. 227(1), pages 1-11.
  88. John Cotrina & Javier Zúñiga, 2019. "Quasi-equilibrium problems with non-self constraint map," Journal of Global Optimization, Springer, vol. 75(1), pages 177-197, September.
  89. Zhong-bao Wang & Yi-bin Xiao & Zhang-you Chen, 2020. "Degree Theory for Generalized Mixed Quasi-variational Inequalities and Its Applications," Journal of Optimization Theory and Applications, Springer, vol. 187(1), pages 43-64, October.
  90. Han, Deren & Zhang, Hongchao & Qian, Gang & Xu, Lingling, 2012. "An improved two-step method for solving generalized Nash equilibrium problems," European Journal of Operational Research, Elsevier, vol. 216(3), pages 613-623.
  91. Rodica Ioana Lung & Noémi Gaskó & Mihai Alexandru Suciu, 2020. "Pareto-based evolutionary multiobjective approaches and the generalized Nash equilibrium problem," Journal of Heuristics, Springer, vol. 26(4), pages 561-584, August.
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