STACKELBERG GAMES ON A NETWORK WITH COURNOT-NASH OLIGOPOLISTIC COMPETITORS

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.     

Grand Design on the Fringes of Empire: New Towns for British North America

There was an increasing elaboration of a town model introduced by British authorities to the new American colonies in the second half of the eighteenth century. The simplest versions, in Nova Scotia (from 1749), gave way to 'classic' Charlottetown (1768) and eventually to excesses in Ontario (ca 1790). The model and its elaboration are clarified, the circuitous route for the planning inspiration is traced, and an explanation is offered for the over-ambitious model bestowed on Ontario. Themes include late Renaissance ideas for new towns, the impact on colonial peripheries of a sophisticated imperial administration, 'landscape by committee,' and the diffusion of ideas.
Pendant la deuxième moitié du dix-huitième siècle, il y eut dans les nouvelles colonies américaines une elaboration croissante du modele urbain introduit par les autoritCs britanniques. Les expressions les plus simples de ce modirle, en Nouvelle Ecosse (de 1749), cédèrent au style « classique >> de Charlottetown (1768) et menirrent éventuellement aux excirs en Ontario (ca 1790). Nous clarifierons ce modele et son évolution; nous tracerons les multiples influences qui inspirerent cet urbanisme; et nous expliquerons le modele par trop ambitieux qui se manifesta en Ontario. Les themes de cet article incluent les idées sur les « new towns >> qui eurent cours vers la fin de la Renaissance; l'impact d'une administration impenale raffinee sur les périphéries coloniales; la fabrication « par comité>> du paysage urbain; et la diffusion des idtes.