Stable joint venture stochastic model

Abstract

Dynamic joint venture model is investigated. Through knowledge diffusion participating firms can gain core skills and technology that would be very difficult for them to obtain on their own. The stochastic evolution of the technology level of company under joint venture is known as a multivariate stochastic Ito's process. The profit of the joint venture is the expected sum of the participating firms' profits. The member firms would maximize their joint profit and share their cooperative profits according to the Shapley value. Applying the method of regularization for dynamic cooperation problem, we constructed the control in the form of special payments, paid at each time instant on the optimal trajectory. The dynamic stable solution is obtained for the stochastic joint venture dynamic model.