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Stochastic Stability of Monotone Economies in Regenerative Environments

Probability 2022-02-22 v6

Abstract

We introduce and analyze a new class of monotone stochastic recursions in a regenerative environment which is essentially broader than that of Markov chains. We prove stability theorems and apply our results {to three canonical models in recursive economics}, generalizing some known stability results to the cases when driving sequences are not independent and identically distributed.

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Cite

@article{arxiv.1409.2286,
  title  = {Stochastic Stability of Monotone Economies in Regenerative Environments},
  author = {Sergey Foss and Vsevolod Shneer and Jonathan P. Thomas and Tim Worrall},
  journal= {arXiv preprint arXiv:1409.2286},
  year   = {2022}
}

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25 pages