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Online food delivery has become a central part of the current tertiary industry. While many products provide people with many conveniences, there is also a massive market in the industry, from the perspective of game theory, based on the principle of competition and cooperation to discuss the current competition pattern in the takeout field. The Prisoner's dilemma and price war dynamic models are used to analyze the game between takeout enterprises. The results show that the profit of Meitnerium takeout and ELEME takeout when they cooperate on the competitive platform is always higher than the profit of the former two when they are in vicious competition. Therefore, they adopted a new method, Elem Takeout, and Meitnerium adjusted their pricing to win the game; In the future, in the field of food delivery, the most reasonable game mode between oligarchs will be a competitive game with the coexistence of competition and cooperation rather than a zero-sum game.