A vector optimization approach to a generalized Cournot equilibrium model
Speaker: Nguyen Van Quy

Time: 14h00, Tuesday, February 10, 2015

Location: Room 4, Building A14, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi

Abstract: We propose a vector optimization approach to linear Cournot oligopolistic market equilibrium models where the strategy sets depend on each other. We use scalarization technique to find a Pareto efficient solution to the model  by using a jointly constrained bilinear programming formulation. We then propose a decomposition branch-and-bound algorithm for globally solving the resulting bilinear problem. The subdivision takes place in one-dimensional intervalsthat enables solving the problem with relatively large sizes.Numerical experiments and results on randomly generated data show the efficiency  of the proposed algorithm.