Opinion formation and phase transitions in a probabilistic cellular automaton with two absorbing states
Lecture Notes in Computer Science, Vol. 2493 (Springer-Verlag, London UK 2002) pp. 249--258 We discuss the process of opinion formation in a completely homogeneous, democratic population using a class of probabilistic cellular automata models with two absorbing states. Each individual can have one o...
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| creator | Bagnoli, Franco Franci, Fabio Rechtman, Raúl |
| description | Lecture Notes in Computer Science, Vol. 2493 (Springer-Verlag,
London UK 2002) pp. 249--258 We discuss the process of opinion formation in a completely homogeneous,
democratic population using a class of probabilistic cellular automata models
with two absorbing states. Each individual can have one of two opinions that
can change according to that of his neighbors. It is dominated by an
overwhelming majority and can disagree against a marginal one. We present the
phase diagram in the mean field approximation and from numerical experiments
for the simplest nontrivial case. For arbitrarily large neighborhoods we
discuss the mean field results for a non-conformist society, where each
individual adheres to the overwhelming majority of its neighbors and choses an
opposite opinion in other cases. Mean field results and preliminary lattice
simulations with long-range connections among individuals show the presence of
coherent temporal oscillations of the population. |
| doi_str_mv | 10.48550/arxiv.nlin/0511001 |
| format | Article |
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London UK 2002) pp. 249--258 We discuss the process of opinion formation in a completely homogeneous,
democratic population using a class of probabilistic cellular automata models
with two absorbing states. Each individual can have one of two opinions that
can change according to that of his neighbors. It is dominated by an
overwhelming majority and can disagree against a marginal one. We present the
phase diagram in the mean field approximation and from numerical experiments
for the simplest nontrivial case. For arbitrarily large neighborhoods we
discuss the mean field results for a non-conformist society, where each
individual adheres to the overwhelming majority of its neighbors and choses an
opposite opinion in other cases. Mean field results and preliminary lattice
simulations with long-range connections among individuals show the presence of
coherent temporal oscillations of the population.</description><identifier>DOI: 10.48550/arxiv.nlin/0511001</identifier><language>eng</language><subject>Physics - Adaptation and Self-Organizing Systems ; Physics - Cellular Automata and Lattice Gases</subject><creationdate>2005-11</creationdate><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/nlin/0511001$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.nlin/0511001$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Bagnoli, Franco</creatorcontrib><creatorcontrib>Franci, Fabio</creatorcontrib><creatorcontrib>Rechtman, Raúl</creatorcontrib><title>Opinion formation and phase transitions in a probabilistic cellular automaton with two absorbing states</title><description>Lecture Notes in Computer Science, Vol. 2493 (Springer-Verlag,
London UK 2002) pp. 249--258 We discuss the process of opinion formation in a completely homogeneous,
democratic population using a class of probabilistic cellular automata models
with two absorbing states. Each individual can have one of two opinions that
can change according to that of his neighbors. It is dominated by an
overwhelming majority and can disagree against a marginal one. We present the
phase diagram in the mean field approximation and from numerical experiments
for the simplest nontrivial case. For arbitrarily large neighborhoods we
discuss the mean field results for a non-conformist society, where each
individual adheres to the overwhelming majority of its neighbors and choses an
opposite opinion in other cases. Mean field results and preliminary lattice
simulations with long-range connections among individuals show the presence of
coherent temporal oscillations of the population.</description><subject>Physics - Adaptation and Self-Organizing Systems</subject><subject>Physics - Cellular Automata and Lattice Gases</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2005</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj81uwjAQhH3hUNE-QS_mAQJ2EyfOsUL0R0Liwj3ajR1YydiRbUr79k1aTjOa0Yz0MfYsxbrSSokNxG_6WntHfiOUlELIB3Y6jOQpeD6EeIE8O_CGj2dIlucIPtEcJk5TwccYEJAcpUw9761zVweRwzWHaTxtb5TPPN8CB0whIvkTTxmyTY9sMYBL9umuS3Z82x23H8X-8P65fd0X0EhZaFMZpUXTVDW2L4CIBhq09aBUiUY2qq-FLIXta1Q9tFobixa1lGiNbAHKJVv93_6xdmOkC8Sfbmbu7szlL6X6VvI</recordid><startdate>20051101</startdate><enddate>20051101</enddate><creator>Bagnoli, Franco</creator><creator>Franci, Fabio</creator><creator>Rechtman, Raúl</creator><scope>GOX</scope></search><sort><creationdate>20051101</creationdate><title>Opinion formation and phase transitions in a probabilistic cellular automaton with two absorbing states</title><author>Bagnoli, Franco ; Franci, Fabio ; Rechtman, Raúl</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a711-8d4d5807746b92abbbda7be6f553bd175c60130ec6b5ca988debeb811bed19aa3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2005</creationdate><topic>Physics - Adaptation and Self-Organizing Systems</topic><topic>Physics - Cellular Automata and Lattice Gases</topic><toplevel>online_resources</toplevel><creatorcontrib>Bagnoli, Franco</creatorcontrib><creatorcontrib>Franci, Fabio</creatorcontrib><creatorcontrib>Rechtman, Raúl</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Bagnoli, Franco</au><au>Franci, Fabio</au><au>Rechtman, Raúl</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Opinion formation and phase transitions in a probabilistic cellular automaton with two absorbing states</atitle><date>2005-11-01</date><risdate>2005</risdate><abstract>Lecture Notes in Computer Science, Vol. 2493 (Springer-Verlag,
London UK 2002) pp. 249--258 We discuss the process of opinion formation in a completely homogeneous,
democratic population using a class of probabilistic cellular automata models
with two absorbing states. Each individual can have one of two opinions that
can change according to that of his neighbors. It is dominated by an
overwhelming majority and can disagree against a marginal one. We present the
phase diagram in the mean field approximation and from numerical experiments
for the simplest nontrivial case. For arbitrarily large neighborhoods we
discuss the mean field results for a non-conformist society, where each
individual adheres to the overwhelming majority of its neighbors and choses an
opposite opinion in other cases. Mean field results and preliminary lattice
simulations with long-range connections among individuals show the presence of
coherent temporal oscillations of the population.</abstract><doi>10.48550/arxiv.nlin/0511001</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Physics - Adaptation and Self-Organizing Systems Physics - Cellular Automata and Lattice Gases |
| title | Opinion formation and phase transitions in a probabilistic cellular automaton with two absorbing states |
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