Strategic Intergenerational Bequests with Stochastic Convex Production
This note reconsiders the well-known model of strategic bequest/altruistic growth, but with stochastic production satisfying a strong convexity condition: The probability that the next stock exceeds any given level is concave in investment. Existence of a Markov-stationary equilibrium consumption schedule, which is continuous and with all slopes in [0, 1], is established. Under smooth data and inferiority assumptions, this schedule is differentiable, and marginal consumption is in (0,1). This property allows for a rigorous and straightforward treatment of the equilibrium characterization problem.
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Volume (Year): 8 (1996)
Issue (Month): 2 (August)
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