We consider a stochastic version of the Stackelberg-Nash-Cournot model proposed by Murphy et al. (1983). In the first stage, the leader chooses and announces his production level taking into account the reaction of the followers. The decision of the leader is taken when market demand is...

We develop an algorithm to solve the problem of the optimal dimensioning of a fluid (gas or water) transmission network when the topology of the network is known. The pipe diameters must been chosen to minimize the sum of the investment cost and of the operations cost. This two level problem is...