ABSTRACT. We formulate the spatial Stackelberg‐Nash‐Cournot competitive network equilibrium problem as a variational inequality constrained mathematical program. Our model differs from previous models of Stackelberg oligopolistic competition in that it employs explicit shipping decision variables and a general network topology. That is, the production and distribution decisions of the Stackelberg firm are determined simultaneously over a discrete network. We explore the existence of solutions to the proposed model, and we also numerically test a sensitivity analysis based algorithm. In particular, we illustrate how sensitivity analysis results can be used to generate the Cournot reaction necessary to solve the Stackelberg problem.
|Original language||English (US)|
|Number of pages||20|
|Journal||Journal of Regional Science|
|State||Published - Nov 1991|
All Science Journal Classification (ASJC) codes
- Environmental Science (miscellaneous)