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Some stability results for Markovian economic semigroups
Leonard J. Mirman 1 , Kevin Reffett 2 and John Stachurski 3
  1 Department of Economics, University of Virginia, Charlottesville, Virginia, USA. ;   2 W. P. Carey School of Business, Arizona State University, Tempe, Arizona, USA. ;   3 Department of Economics, University of Melbourne, Melbourne, Victoria, Australia. Email: j.stachurski@econ.unimelb.edu.au

We are very grateful to the anonymous referee, whose insightful comments led to many improvements in the proofs. The third author thanks the Institute of Economic Research at Kyoto University and the Center for Operations Research and Econometrics at Université catholique de Louvain for hospitality over some of the period when these results were established.

Copyright 2005 The International Society for Economic Theory.
KEYWORDS
Markov processes • asymptotic stability • semigroups
KEYWORDS
C61 • C62

ABSTRACT

The present paper studies existence, uniqueness and stability of stationary equilibrium distributions in a class of stochastic dynamic models common to economic analysis. We provide applications to a heterogeneous agent model and two nonlinear multisector time series models with unbounded state space.


Accepted 12 August 2004

DIGITAL OBJECT IDENTIFIER (DOI)
10.1111/j.1742-7363.2005.00005.x About DOI

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