Abstract: Coopetition has become the current strategy trend of the economic development.The Minimax theorem is adopted to make decision under coopetition,which can ensure that more members in the coalition can get a higher satisfaction degree at the equilibrium point.Moreover,the Minimax theorem is used to analyze coopetition games equilibrium on production with symmetric Cost in the linear reverse demand market?Finally,the Minimax equilibrium is compared with NASH equilibrium in the complete competitive market and the monopoly equilibrium in the monopoly market.The strategy to deal with uncooperative deeds was presented.

Key words: coopetition games, Minimax Theorem, NASH equilibrium