Welfare losses under Cournot competition

In a market for a homogeneous good where firms are identical, compete in quantities and produce with constant returns, the percentage of welfare losses (PWL) is small with as few as five competitors for a class of demand functions which includes linear and isoelastic cases. We study markets with positive fixed costs and asymmetric firms. We provide exact formulae of PWL and robust constructions of markets were PWL is close to one in these two cases. We show that the market structure that maximizes PWL is either monopoly or dominant firm, depending on demand. Finally we prove that PWL is minimized when all firms are identical, a clear indication that the assumption of identical firms biases the estimation of PWL downwards.     

Sustainable fashion supply chain management under oligopolistic competition and brand differentiation

In this paper, we developed a new model of oligopolistic competition for fashion supply chains in the case of differentiated products with the inclusion of environmental concerns. The model assumes that each fashion firm's product is distinct by brand and the firms compete until an equilibrium is achieved. Each fashion firm seeks to maximize its profits as well as to minimize its emissions throughout its supply chain with the latter criterion being weighted in an individual manner by each firm. The competitive supply chain model is network-based and variational inequality theory is utilized for the formulation of the governing Nash equilibrium as well as for the solution of the case study examples. The numerical examples illustrate both the generality of the modeling framework as well as how the model and computational scheme can be used in practice to explore the effects of changes in the demand functions; in the total cost and total emission functions, as well as in the weights.