Survival and long-run dynamics with heterogeneous beliefs under recursive preferences

I analytically characterize the long-run behavior of an economy with two types of agents who differ in their beliefs and are endowed with homothetic recursive preferences. Agents with more incorrect beliefs dominate, or agents with different accuracy of their beliefs coexist in the long run, for broad ranges of plausible parameterizations when risk aversion is greater than the inverse of the intertemporal elasticity of substitution. The results highlight a crucial interaction between risk sharing, speculative behavior and consumption-saving choice of agents with heterogeneous beliefs, and the role of equilibrium prices in shaping long-run outcomes.