The best coop games resolve the problem by giving players secret information they are disallowed from sharing with others, thus reducing the ability of one play

The best coop games resolve the problem by giving players secret information they are disallowed from sharing with others, thus reducing the ability of one player to dominate. If you're really worried about it, increase the restriction. For example, in Pandemic, forbid players from naming more than X number of specific cards they have each turn. It'll make the game harder, but that's about all.