Mixed variational inequalities and economic equilibrium problems
Konnov, I. V. ; Volotskaya, E. O.
J. Appl. Math., Tome 2 (2002) no. 8, p. 289-314 / Harvested from Project Euclid
We consider rather broad classes of general economic equilibrium problems and oligopolistic equilibrium problems which can be formulated as mixed variational inequality problems. Such problems involve a continuous mapping and a convex, but not necessarily differentiable function. We present existence and uniqueness results of solutions under weakened $P$ -type assumptions on the cost mapping. They enable us to establish new results for the economic equilibrium problems under consideration.
Publié le : 2002-05-14
Classification:  47J20,  91B52,  49J40,  49J53
@article{1049074895,
     author = {Konnov, I. V. and Volotskaya, E. O.},
     title = {Mixed variational inequalities and economic equilibrium problems},
     journal = {J. Appl. Math.},
     volume = {2},
     number = {8},
     year = {2002},
     pages = { 289-314},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1049074895}
}
Konnov, I. V.; Volotskaya, E. O. Mixed variational inequalities and economic equilibrium problems. J. Appl. Math., Tome 2 (2002) no. 8, pp.  289-314. http://gdmltest.u-ga.fr/item/1049074895/