Monotone methods for Markovian equilibrium in dynamic economies

Monotone methods for Markovian equilibrium in dynamic economies

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Article ID: iaor20031574
Country: Netherlands
Volume: 114
Issue: 1
Start Page Number: 117
End Page Number: 144
Publication Date: Aug 2002
Journal: Annals of Operations Research
Authors: , , ,
Keywords: economics
Abstract:

In this paper, we provide an overview of an emerging class of ‘monotone map methods’ in analyzing distorted equilibrium in dynamic economies. In particular, we focus on proving the existence and characterization of competitive equilibrium in non-optimal versions of the optimal growth models. We suggest two alternative methods: an Euler equation method for a smooth, strongly concave environment, and a value function method for a non-smooth supermodular environment. We are able to extend this analysis to study models that allow for unbounded growth or a labor–leisure choice.

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