caa a22 4500 475819438 CHVBK 20180406123818.0 cr unu---uuuuu 170329e20000101xx s 000 0 eng 10.1023/A:1019097208499 doi (NATIONALLICENCE)springer-10.1023/A:1019097208499 Relaxation algorithms to find Nash equilibria with economic applications [Elektronische Daten] [Jacek Krawczyk, Stanislav Uryasev] Recent theoretical studies have shown that a relaxation algorithm can be used to find noncooperative equilibria of synchronous infinite games with nonlinear payoff functions and coupled constraints. In this study, we introduce an improvement to the algorithm, such as the steepest-descent step-size control, for which the convergence of the algorithm is proved. The algorithm is then tested on several economic applications. In particular, a River Basin Pollution problem is considered where coupled environmental constraints are crucial for the relevant model definition. Numerical runs demonstrate fast convergence of the algorithm for a wide range of parameters. Kluwer Academic Publishers, 2000 computational economics nationallicence Nash equilibrium nationallicence coupled constraints nationallicence relaxation algorithm nationallicence Krawczyk Jacek Commerce and Administration Faculty, Victoria University of Wellington, PO Box 600, Wellington, New Zealand aut Uryasev Stanislav Department of Industrial and Systems Engineering, University of Florida, 474 Weil Hall, 32611-6595, Gainesville, FL, USA aut Environmental Modeling & Assessment Kluwer Academic Publishers 5/1(2000-01-01), 63-73 1420-2026 5:1<63 2000 5 10666 https://doi.org/10.1023/A:1019097208499 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1019097208499 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Krawczyk Jacek Commerce and Administration Faculty, Victoria University of Wellington, PO Box 600, Wellington, New Zealand aut NATIONALLICENCE 700 1- Uryasev Stanislav Department of Industrial and Systems Engineering, University of Florida, 474 Weil Hall, 32611-6595, Gainesville, FL, USA aut NATIONALLICENCE 773 0- Environmental Modeling & Assessment Kluwer Academic Publishers 5/1(2000-01-01), 63-73 1420-2026 5:1<63 2000 5 10666 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer