Multiobjective Interaction Programming for Two-Persons

Interaction programming is a complex decision making model for multi-persons, which can be widely applied in fields with conflict or non-conflict, such as control problem of product plan, mutli-agents and network conflict in the engineering and computer fields. This paper extends a class of cooperative interaction programming of two-persons (or two agents). We define s-optimal joint solution to interaction programming of two-persons and get its some properties. It is proved that the s-optimal joint solution of interaction programming can be obtained by solving a corresponding mathematical programming problem. Finally, we build a pricing model of interaction programming for two-class supply chain. Numerical results show that the pricing model of interaction programming is better than the pricing model of Stackelberg game and the pricing model of joint pricing.