This paper is concerned with the relationship between a continuous dynamical system and the trajectory generated by such a system. The main result provides necessary and sufficient conditions for an infinite data stream to be rationalized as the output of a continuous law of motion. The paper...

When there are competing technologies or products with unknown payoffs an important question is which technology will prevail and whether technologies with different payoffs can coexist in the long run. In this paper, we use a social learning model with local interactions to study this question....

Debreu's theorem on excess demand functions is used to demonstrate the possibilities of ergodic and topological chaos in a discrete-time tatonnement process with only two goods. The result is in sharp contrast with the well-known result of Arrow and Hurwicz on system stability in a continuous...

This note extends the example of Gale (1963) by considering the continuous time tatonnement process for a class of two agent, two commodity exchange economies, parametrized by a number µ∈(0,1). We demonstrate that as the parameter passes a threshold value µ* the unique, globally stable...

This paper studies a deterministic one-sector growth model with a constant returns to scale production function and endogenous labor supply. It is shown that the distribution of capital among the agents has an effect on the level of per-capita output. There exists a continuum of stationary...

We extend the model from Tornell and Velasco [13] and Tornell and Lane [12] by adding three features: (i) extracting the common property asset involves a private appropriation cost, (ii) agents derive utility from wealth as well as from consumption, and (iii) agents can be heterogeneous. We show...

We discuss an analytically tractable discrete-time dynamic game in which a finite number of players extract a renewable resource. We characterize a symmetric Markov-perfect Nash equilibrium of this game and derive a necessary and sufficient condition under which the resource does not become...

A general model of non-cooperating agents exploiting a renewable resource is considered. Assuming that the resource is sufficiently productive we prove that there exists a continuum of Markov-perfect Nash equilibria (MPNE). Although these equilibria lead to over-exploitation one can approximate...