Part II : Infinite Horizon Economies
نویسندگان
چکیده
Assume a representative-agent economy with one good. Let time be indexed by t=0,1,2,.... Suppose that there is no uncertainty at time zero and that S branches stem out of it. Similarly, from each of these branches, S more branches stem out, and so on. For a given t, label the (cross-section of) nodes as {1, ..., St} and note that St increases over time. Our agent’s utility will now be defined on stochastic processes c := {ct}t=0, where ct : St −→ R+ is a random variable, for each t. Similarly, let ω := {ωt}t=0 be a stochastic processes describing the agent’s endowments. Let 0 < β < 1 denote the agent’s discount factor.
منابع مشابه
Working Paper Alfred P. Sloan School of Management Determinacy of Equilibrium in Infinite Horizon Economies: a Perspective Determinacy of Equilibrium in Infinite Horizon Economies: a Perspective
متن کامل
Rational Expectations Equilibria in Dynamic Economies with Interacting Agents
We consider general economies in which rational agents interact locally. The local aspect of the interactions is designed to capture in a simple abstract way social interactions, that is, socio-economic environments in which markets do not mediate all of agents’ choices, and each agent’s choice might be in part determined, for instance, by family, peer group, or ethnic group effects. We study s...
متن کاملConvergence of trajectories in infinite horizon optimization
In this paper, we investigate the convergence of a sequence of minimizing trajectories in infinite horizon optimization problems. The convergence is considered in the sense of ideals and their particular case called the statistical convergence. The optimality is defined as a total cost over the infinite horizon.
متن کاملIncomplete markets over an infinite horizon: Long-lived securities and speculative bub
This paper studies sequence economies over an infinite horizon with general security structures. Assumptions are given under which a pseudo-equilibrium exists for all economies and an equilibrium exists for a dense set of (appropriately parameterized) economies. Under these assumptions the indebtedness of the agents in equilibrium can be limited either by an explicit bound on their debts or by ...
متن کاملDigitized by the Internet Archive in 2011 with Funding from Boston Library Consortium Iviember Libraries Working Paper Department of Economics Comparative Statics and Perfect Foresight in Infinite Horizon Economies
This paper considers whether infinite horizon economies have determinate perfect foresight equilibria. ¥e consider stationary pure exchange economies with both finite and infinite numbers of agents. When there is a finite number of infinitely lived agents, we argue that equilibria are generically determinate. This is because the number of equations determining the equilibria is not infinite, bu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2006