A Variational Inequality Approach to a Class of Environmental Equilibrium Problems

Show more

References

[1] M. Breton, G. Zaccour and M. Zahaf, “A Game-Theoretic Formulation of Joint Implementation of Environmental Projects,” European Journal of Operational Research, Vol. 168, No. 1, 2005, pp. 221-239.
doi:10.1016/j.ejor.2004.04.026

[2] M. Tidball and G. Zaccour, “An Environmental Game with Coupling Con-straints,” Environmental Modeling and Assessment, Vol. 10, No. 2, 2005, pp. 153-158.
doi:10.1007/s10666-005-5254-8

[3] F. Giannessi and A. Maugeri, Eds., “Variational Inequalities and Network Equilibrium Problems,” Plenum Press, New York, 1995.

[4] F. Raciti, “Equilibrium Conditions and Vector Variational Inequalities: A Complex Relation,” Journal of Global Optimization, Vol. 40, No. 1-3, 2008, pp. 353-360.
doi:10.1007/s10898-007-9202-9

[5] J. Gwinner and F. Raciti, “Random Equilibrium Problems on Networks,” Mathematical Computer Modelling, Vol. 43, No. 7-8, 2006, pp. 880-891.
doi:10.1016/j.mcm.2005.12.007

[6] A. O. Caruso, A. A. Khan and F. Raciti, “Continuity Results for Some Classes of Variational Inequalities and Applications to Time-Dependent Equilibrium Problems,” Numerical Functional Analysis and Optimization, Vol. 30 No. 11-12, 2009, pp. 1272-1288.
doi:10.1080/01630560903381696

[7] A. Causa and F. Raciti, “Lipschitz Continuity Results for a Class of Varia-tional Inequalities: A Geometric Approach,” Journal of Optimization Theory and Applications, Vol. 145, No. 2, 2010, pp. 235-248.
doi:10.1007/s10957-009-9622-4

[8] A. Causa and F. Raciti, “Some Remarks on the Walras Equilibrium Problem in Lebesgue Spaces,” Optimization Letters, Vol. 5, No. 1, 2011, pp. 99-112.
doi:10.1007/s11590-010-0193-y

[9] J. Gwinner and F. Raciti, “On a Class of Random Variational Inequalities on Random Sets,” Numerical Functional Analysis and Opti-mization, Vol. 27, No. 5-6, 2006, pp. 619-636.

[10] J. Gwinner and F. Raciti, “On Monotone Variational In-equalities with Random Data,” Journal of Mathematical Inequalities, Vol. 3, No. 3, 2009, pp. 443-453.

[11] J. Gwinner and F. Raciti, “Some Equilibrium Problems under Uncertainty and Random Variational Inequalities, Annals of Operations Research, Vol. 200, No. 1, 2012, pp. 299-319. doi:10.1007/s10479-012-1109-2

[12] P. T. Harker, “Generalized Nash Games and Quasi-Variational Inequalities,” European Journal of Operational Research, Vol. 54, No. 1, 1991, pp. 81-94.
doi:10.1016/0377-2217(91)90325-P

[13] A. Maugeri and F. Raciti, “On Existence Theorems for Monotone and Nonmonotone Variational Inequalities,” Journal of Convex Analysis, Vol. 16, No. 3-4, 2009, pp. 899-911.

[14] J. B. Rosen, “Existence and Uniqueness of Equilibrium Points for Concave N-Person Games,” Econometrica, Vol. 33, No. 3, 1965, pp. 520-534. doi:10.2307/1911749

[15] F. Facchinei, A. Fischer and V. Piccialli, “On Generalized Nash Games and Variational Inequalities,” Operations Research Letters, Vol. 35, No. 2, 2007, pp. 159-164.
doi:10.1016/j.orl.2006.03.004

[16] P. Falsaperla, F. Raciti and L. Scrimali, “A Variational Inequality Model of the Spatial Price Network Problem with Uncertain Data,” Optimization and Engineering, Vol. 13, No. 3, 2012, pp. 417-434.
doi:10.1007/s11081-011-9158-y