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Information and the Existence of Stationary Markovian Equilibrium

Ioannis Karatzas, Martin Shubik and William D. Sudderth
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Ioannis Karatzas: Columbia University

No 1261, Cowles Foundation Discussion Papers from Cowles Foundation for Research in Economics, Yale University

Abstract: We describe conditions for the existence of a stationary Markovian equilibrium when total production or total endowment is a random variable. Apart from regularity assumptions, there are two crucial conditions: (i) low information -- agents are ignorant of both total endowment and their own endowments when they make decisions in a given period, and (ii) proportional endowments -- the endowment of each agent is in proportion, possibly a random proportion, to the total endowment. When these conditions hold, there is a stationary equilibrium. When they do not hold, such equilibrium need not exist.

Keywords: Information; stochastic process; money; and disequilibrium (search for similar items in EconPapers)
JEL-codes: C72 C73 D80 (search for similar items in EconPapers)
Pages: 12 pages
Date: 2000-06
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Published in Annals of the International Society of Dynamic Games (2005), 7: 3-20

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