In this paper we present several "infeasible-start" path-following and potential-reduction primal-dual interior-point methods for non-linear conic problems. These methods try to find a recession direction of the feasible set of a self-dual homogeneous primal-dual problem.

If a solution (on a closed family of games) satisfies dummy axiom (DUM) and independance of irrelevant strategies (IIS) then it also satisfies consistency (CONS) (proposition 2.21, Peleg and Tijs, 1996). The converse of this proposition is not true: CONS implies neither DUM nor IIS as shown in...

Efficiency scores of production units are measured by their distance to an estimated production forntier. Nonparametric DEA estimators are based on a finit sample of observed production units and radial distances are considered. We investigate the consistency and the speed of convergence of...

We consider the two-stage game proposed by Kreps and Scheinkman in the adress model of horizontal differenciation developed by Hotelling. Firms choose capacities in the first stage and then compete in price. We show that capacity precommitment softens price competitio drastically.

We consider the problem of designing a 2-stations Automated Guided Vehicle System (AGVS). The AGV System consists of a pool of vehicles that transports products from one station to the other station through an unidirectional guidepath.