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...

We consider quasi-orderings of infinite utility streams satisfying the strong Pareto axiom (i.e., Paretian quasi-orderings) and study the question of how strong a notion of intergenerational equity one can impose on these quasi-orderings without generating an impossibility theorem. Building on a...

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...

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...

We develop a model that incorporates salient features of growth in modern economies. We combine the expanding-variety growth model through horizontal innovations with a hierarchy of basic and applied research. The former extends the knowledge base, while the latter commercializes it. Two-way...

We consider situations in which a principal tries to induce an agent to spend e®ort on accumulating a state variable that a®ects the well-being of both parties. The only incentive mechanism that the principal can use is a state-dependent transfer of her own utility to the agent. Formally, the...

We consider dynamic optimization problems on one-dimensional state spaces. Un- der standard smoothness and convexity assumptions, the optimal solutions are characterized by an optimal policy function h mapping the state space into itself. There exists an extensive literature on the relation...

We study the Ramsey (1928) model under the assumption that households act strategically. We compute the Markov perfect equilib- rium for this model and compare it to the original, competitive equi- librium and to a strategic open-loop equilibrium proposed by Sorger (2002, 2005b). We show that,...

We modify the growth model with horizontal innovations from Romer (1990) and Jones (1995) by assuming that researchers can determine the quality of the products they invent. Because research effort increases with product quality, the researchers face a tradeoff between the quantity and the...