Studying a one-sector economy populated by finitely many heterogeneous households that are subject to no-borrowing constraints, we confirm a conjecture by Frank P. Ramsey according to which, in the long run, society would be divided into the set of patient households who own the entire capital...

We consider a discrete-time dynamic game in which a nite number of players extract a non-renewable resource and derive consumption solely from the extracted amount (cake-eating game). Markov-perfect Nash equilibria can be constructed in this game not only if the players have time-preference...

It is shown that the discrete-time version of the neoclassical one-sector optimal growth model with endogenous labor supply and standard assumptions on technology and preferences admits periodic solutions of any period as well as chaotic solutions. Solutions with period 2 are possible for any...