Various well known agreement theorems show that if players have common knowledge of actions and “veto” option is feasible (Geanakoplos 1994), then they cannot agree to forgo a Pareto optimal outcome simply because of private information in settings with unique equilibrium. We establish a non- speculation theorem, which is more general than Geanakoplos (1994) and can be applicable to political institutions that generate multiple equilibria. We apply this result to a problem of designing an independent committee free of private persuasion.