We consider an infinite horizon game in which players have heterogeneous beliefs about future endowments process and trade with each other. Focusing on Pareto-efficient subgame-perfect equilibria, we find that unlike dynamic general equilibrium models, every player's consumption is bounded away from zero. That is, every player survives in a Pareto-efficient subgame-perfect equilibrium. (C) 2021 Elsevier B.V. All rights reserved.