Stability of Agreement in State-dependent Interaction Environments

Stability of Agreement in State-dependent Interaction Environments

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...

Full description

Bibliographic Details
Main Author: Condello, ALEXANDER
Other Authors: Queen's University (Kingston, Ont.). Theses (Queen's University (Kingston, Ont.))
Language:en
en
Published: 2013
Subjects:
mathematics
consensus
agreement
Online Access:http://hdl.handle.net/1974/8096
id ndltd-LACETR-oai-collectionscanada.gc.ca-OKQ.1974-8096
record_format oai_dc
spelling ndltd-LACETR-oai-collectionscanada.gc.ca-OKQ.1974-80962013-12-20T03:40:55ZStability of Agreement in State-dependent Interaction EnvironmentsCondello, ALEXANDERmathematicsconsensusagreementWe 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.Thesis (Master, Mathematics & Statistics) -- Queen's University, 2013-06-28 16:12:15.743Queen's University (Kingston, Ont.). Theses (Queen's University (Kingston, Ont.))2013-06-28 12:29:42.512013-06-28 16:12:15.7432013-07-02T17:40:05Z2013-07-02T17:40:05Z2013-07-02Thesishttp://hdl.handle.net/1974/8096enenCanadian thesesThis 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.
collection NDLTD
language en
en
sources NDLTD
topic mathematics
consensus
agreement
spellingShingle mathematics
consensus
agreement
Condello, ALEXANDER
Stability of Agreement in State-dependent Interaction Environments
description 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. === Thesis (Master, Mathematics & Statistics) -- Queen's University, 2013-06-28 16:12:15.743
author2 Queen's University (Kingston, Ont.). Theses (Queen's University (Kingston, Ont.))
author_facet Queen's University (Kingston, Ont.). Theses (Queen's University (Kingston, Ont.))
Condello, ALEXANDER
author Condello, ALEXANDER
author_sort Condello, ALEXANDER
title Stability of Agreement in State-dependent Interaction Environments
title_short Stability of Agreement in State-dependent Interaction Environments
title_full Stability of Agreement in State-dependent Interaction Environments
title_fullStr Stability of Agreement in State-dependent Interaction Environments
title_full_unstemmed Stability of Agreement in State-dependent Interaction Environments
title_sort stability of agreement in state-dependent interaction environments
publishDate 2013
url http://hdl.handle.net/1974/8096
work_keys_str_mv AT condelloalexander stabilityofagreementinstatedependentinteractionenvironments
_version_ 1716621681594728448

Similar Items