A family production overlapping generations economy

This paper provides a theoretical analysis of an overlapping generations economy in which production decisions and input-output allocations are all carried out at the family level. I consider a single class of output allocation schemes and various degrees of knowledge about the production technology. Under complete knowledge, I show that a family organizational structure in which everyone receives his marginal contribution to output, invests less in physical capital than under a perfectly competitive equilibrium environment. Under incomplete knowledge, I analyze and compare how beliefs about the input-output relationship affect the physical capital accumulation dynamics and the long-run standards of living.