Stability of Agreement in State-dependent Interaction Environments

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Authors

Condello, Alexander

Date

2013-07-02

Type

thesis

Language

eng

Keyword

Mathematics , Consensus , Agreement

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Abstract

We study stochastic stability for a class of agreement dynamics and define two forms of agreement which we call stochastic agreement and stochastic absolute agreement. We identify conditions for a broad class of random, possibly state-dependent agreement processes to achieve stochastic agreement. We take the approach of applying Lyapunov drift criteria to study the behaviour of such processes. We generalize some results in the literature to the noisy and state-dependent case.

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Thesis (Master, Mathematics & Statistics) -- Queen's University, 2013-06-28 16:12:15.743

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This publication is made available by the authority of the copyright owner solely for the purpose of private study and research and may not be copied or reproduced except as permitted by the copyright laws without written authority from the copyright owner.

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