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    Stability of Agreement in State-dependent Interaction Environments

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    Condello_Alexander_R_201306_MASC.pdf (772.6Kb)
    Date
    2013-07-02
    Author
    Condello, Alexander
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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.
    URI for this record
    http://hdl.handle.net/1974/8096
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    • Department of Mathematics and Statistics Graduate Theses
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