On describing the solution sets of generalized Nash games with shared constraints

作者: M.-G. Cojocaru , E. Wild , A. Small

DOI: 10.1007/S11081-018-9379-4

关键词:

摘要: In this paper we use parametric variational inequality problems for the purpose of describing entire solution sets generalized Nash games with shared constraints. We prove two theoretical results and introduce a computational method that practitioners can implement in applied modeled as games, under assumptions present current literature. Further, give illustrative examples how our technique is used to derive known previously not solved by existing techniques. close presentation an problem formulated game, namely model joint implementation environmental accord between countries. discuss possible advantages modeling it within game framework.

参考文章(32)
David Kinderlehrer, Guido Stampacchia, An introduction to variational inequalities and their applications ,(1980)
Arthur H. Copeland, Review: John von Neumann and Oskar Morgenstern, Theory of games and economic behavior Bulletin of the American Mathematical Society. ,vol. 51, pp. 498- 504 ,(1945)
Tatsuro Ichiishi, Game theory for economic analysis ,(1983)
Monica-Gabriela Cojocaru, Leo B. Jonker, Existence of solutions to projected differential equations in Hilbert spaces Proceedings of the American Mathematical Society. ,vol. 132, pp. 183- 193 ,(2003) , 10.1090/S0002-9939-03-07015-1
J. B. Rosen, Existence and uniqueness of equilibrium points for concave n-person games Econometrica. ,vol. 33, pp. 251- 251 ,(1965) , 10.2307/1911749
Francisco Facchinei, Christian Kanzow, Generalized Nash Equilibrium Problems Annals of Operations Research. ,vol. 175, pp. 177- 211 ,(2010) , 10.1007/S10479-009-0653-X
LAURA SCRIMALI, QUASI-VARIATIONAL INEQUALITIES IN TRANSPORTATION NETWORKS Mathematical Models and Methods in Applied Sciences. ,vol. 14, pp. 1541- 1560 ,(2004) , 10.1142/S0218202504003714
Ankur A. Kulkarni, Uday V. Shanbhag, On the variational equilibrium as a refinement of the generalized Nash equilibrium Automatica. ,vol. 48, pp. 45- 55 ,(2012) , 10.1016/J.AUTOMATICA.2011.09.042