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Numerical solutions to coupled-constraint (or generalised Nash) equilibrium problems

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  • Jacek Krawczyk

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Abstract

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Suggested Citation

  • Jacek Krawczyk, 2007. "Numerical solutions to coupled-constraint (or generalised Nash) equilibrium problems," Computational Management Science, Springer, vol. 4(2), pages 183-204, April.
  • Handle: RePEc:spr:comgts:v:4:y:2007:i:2:p:183-204
    DOI: 10.1007/s10287-006-0033-9
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    Citations

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    Cited by:

    1. Boucekkine, Raouf & Krawczyk, Jacek B. & Vallée, Thomas, 2010. "Towards an understanding of tradeoffs between regional wealth, tightness of a common environmental constraint and the sharing rules," Journal of Economic Dynamics and Control, Elsevier, vol. 34(9), pages 1813-1835, September.
    2. repec:spr:joptap:v:166:y:2015:i:2:d:10.1007_s10957-014-0623-6 is not listed on IDEAS
    3. Contreras, Javier & Krawczyk, Jacek & Zuccollo, James, 2008. "Can planners control competitive generators?," MPRA Paper 10395, University Library of Munich, Germany.
    4. Masao Fukushima, 2011. "Restricted generalized Nash equilibria and controlled penalty algorithm," Computational Management Science, Springer, vol. 8(3), pages 201-218, August.
    5. Dane A. Schiro & Benjamin F. Hobbs & Jong-Shi Pang, 2016. "Perfectly competitive capacity expansion games with risk-averse participants," Computational Optimization and Applications, Springer, vol. 65(2), pages 511-539, November.
    6. Anurag Jayswal & Shipra Singh & Sarita Choudhury, 2015. "On composite vector variational-like inequalities and vector optimization problems," Computational Management Science, Springer, vol. 12(4), pages 577-594, October.
    7. Axel Dreves, 2014. "Finding all solutions of affine generalized Nash equilibrium problems with one-dimensional strategy sets," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 80(2), pages 139-159, October.
    8. Koichi Nabetani & Paul Tseng & Masao Fukushima, 2011. "Parametrized variational inequality approaches to generalized Nash equilibrium problems with shared constraints," Computational Optimization and Applications, Springer, vol. 48(3), pages 423-452, April.
    9. Nils Langenberg, 2012. "Interior point methods for equilibrium problems," Computational Optimization and Applications, Springer, vol. 53(2), pages 453-483, October.
    10. Bai, Yun & Ouyang, Yanfeng & Pang, Jong-Shi, 2012. "Biofuel supply chain design under competitive agricultural land use and feedstock market equilibrium," Energy Economics, Elsevier, vol. 34(5), pages 1623-1633.
    11. J. Contreras & J. B. Krawczyk & J. Zuccollo, 2016. "Economics of collective monitoring: a study of environmentally constrained electricity generators," Computational Management Science, Springer, vol. 13(3), pages 349-369, July.
    12. Jacek B. Krawczyk & Mabel Tidball, 2016. "Economic Problems with Constraints: How Efficiency Relates to Equilibrium," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(04), pages 1-19, December.
    13. 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.

    More about this item

    Keywords

    Computational economics; Compliance problems; Coupled constraint games; Eeneralised Nash Equilibrium; Nikado–Isoda function; Relaxation algorithm (NIRA); Quasi-variational inequalities; C63; C72; C88; D78; E62; 91A; 91B; 90C;

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C88 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Other Computer Software
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
    • E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy

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