A game study of product compatibility in the growth of firm

Price and compatibility are two important factors affecting the growth of the firm, of which price shows the quality and compatibility the network scale. In the paper, I divide compatibility into sole product compatibility and complimentary product compatibility. For sole product compatibility, a game model is given and a dominated equilibrium (compatibility, compatibility) is got under some condition, and for complimentary product compatibility, a game model is also set up and a Nash equilibrium (complete compatibility, complete compatibility) is acquired under any circumstance. These results do help to explain why so many firms pay more and more attention to their product compatibility.