search query: @author Kolstad, C. D. / total: 7
reference: 4 / 7
| Author: | Kolstad, C. D. Mathiesen, L. |
| Title: | Computing Cournot-Nash equilibria. |
| Journal: | Operations Research
1991 : SEP-OCT, VOL. 39:5, p. 739-748 |
| Index terms: | GAME THEORY EQUILIBRIUM ANALYSIS OLIGOPOLY ALGORITHMS |
| Language: | eng |
| Abstract: | The basic purpose of the paper is to formalize a commonly used algorithm for finding Cournot-Nash equilibria and demonstrate conditions for global convergence of the algorithm. The method is based on formulating the equilibrium as that of finding a solution to a non-linear complementary problem. A major result is that if marginal profits are concave and the Jacobian of marginal profits has a negative dominant diagonal with unitary scales, then the algorithm is assured to converge from any feasible starting point. Within this context, three generic classes of markets are examined: homogeneous product, segmented markets; and differentiated products. |
SCIMA