Search for items in this repository.
Geometric Study of the Weak Equilibrium in a Weighted Case for a Two-Dimensional Competition Game
López González, M. Dolores and Rodrigo Hitos, Javier and Sánchez, José Manuel
Geometric Study of the Weak Equilibrium in a Weighted Case for a Two-Dimensional Competition Game.
"American Journal of Operations Research", v. 3
In this work, an improvement of the results presented by  Abellanas et al. (Weak Equilibrium in a Spatial Model. International Journal of Game Theory, 40(3), 449-459) is discussed. Concretely, this paper investigates an abstract game of competition between two players that want to earn the maximum number of points from a finite set of points in the plane. It is assumed that the distribution of these points is not uniform, so an appropriate weight to each position is assigned. A definition of equilibrium which is weaker than the classical one is included in order to avoid the uniqueness of the equilibrium position typical of the Nash equilibrium in these kinds of games. The existence of this approximated equilibrium in the game is analyzed by means of computational geometry techniques.
Check whether the anglo-saxon journal in which you have published an article allows you to also publish it under open access.
Check whether the spanish journal in which you have published an article allows you to also publish it under open access.