In　the　network　markets　of　product　families,　a　complex　game　problem　played　by　a　leader　with　dual　goals　(maximizing　its　profits　and　total　consumer　surplus)　and　multiple　followers　maximizing　their　profits　was　studied.　Based　on　the　theories　of　two-layer　programming,　NSGA-　II,　and　Cournot　game,　a　two-layer　programming　algorithm　with　games　was　designed　to　solve　the　problem.　The　elite　strategy　was　used　to　improve　the　algorithm＇s　searching　performance　and　convergence　speed,　and　numerical　examples　were　used　to　analyze　the　performance　of　the　algorithm.　The　networked　markets　competition　problem　of　product　families　was　solved　based　on　this　algorithm　and　the　approximate　equilibrium　solution　set　was　obtained.　The　study　showed　that　the　smaller　(larger)　the　demand　slope　of　the　product　variety　segment　where　the　leader　involved,　the　better　for　the　leader　who　focused　on　its　profits　(total　consumer　surplus);　the　ripple　effect　existed　in　the　network,　and　the　capacity　constraint　of　each　product　variety　could　suppress　the　ripple　effect,　but　the　total　capacity　constraint　of　the　firms　would　amplify　the　ripple　effect;　the　leader　firm　was　more　aggressive　in　market　expansion　than　the　follower　firms;　the　leader　preferred　the　alliance　method　of　attacking　the　closer　firms　with　the　distant　firms＂,　but　follower　preferred　the　alliance　method　of　＂attacking　the　distant　firms　with　the　closer　firms＂　to　each　other.　©　2023　CIMS.　All　rights　reserved.