Name
Title | ||
|---|---|---|
Evolutionary Variational Formulation for Oligopolistic Market Equilibrium Problems with Production Excesses. |
Abstract | ||
|---|---|---|
The paper is devoted to generalize a previous model of the dynamic oligopolistic market equilibrium problem allowing the presence of production excesses and assuming, in a more reasonable way that the total amounts of commodity shipments from a firm to all the demand markets be upper bounded. First, we give equilibrium conditions in terms of the well-known dynamic Cournot–Nash equilibrium principle. Then we show that such conditions can be expressed in terms of Lagrange multipliers; namely, by means of an utility function, prove that both equilibrium conditions can be equivalently expressed by a variational inequality. The variational formulation allows us to provide existence theorems and qualitative properties for equilibrium solutions. At last, a numerical example illustrates the results obtained. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1007/s10957-012-0056-z | J. Optimization Theory and Applications |
Keywords | Field | DocType |
Dynamic oligopolistic market equilibrium problem, Production excess, Dynamic Cournot–Nash equilibrium, Evolutionary variational inequality, Lagrange variables, Assumption S | Sequential equilibrium,Mathematical optimization,Mathematical economics,Epsilon-equilibrium,Oligopoly,Commodity,Lagrange multiplier,Symmetric equilibrium,Mathematics,Variational inequality,Bounded function | Journal |
Volume | Issue | ISSN |
155 | 1 | 1573-2878 |
Citations | PageRank | References |
9 | 0.73 | 6 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Annamaria Barbagallo | 1 | 39 | 5.90 |
| Paolo Mauro | 2 | 10 | 1.14 |