This paper examines an Outside Option Game Designed to study the tension between maximizing the size of the surplus and bargaining over the division of thus surplus among those who contributed to its creation.

In the present introductory work we propose an original analytical model of coopetitive game. We suggest possible general and feasible solutions; in particular, from a coopetitive perspective, we suggest compromise solutions - for our coopetitive game, by using Kalai-Smorodinsky method.