A Geometric Model of Opinion Polarization

A Geometric Model of Opinion Polarization
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意见极化的几何模型

DOI：
10.1287/moor.2023.1355
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发表时间：
2019
期刊：
ArXiv
影响因子：
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通讯作者：
Govind Ramnarayan
Govind Ramnarayan
中科院分区：
--
文献类型：
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作者：
Jan Hązła;Yan Jin;Elchanan Mossel;Govind Ramnarayan

文献摘要

被引文献

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我们介绍一个简单的意见极化几何模型。它是利用社会价值的政治说服、营销和广告的典范。它侧重于不同话题和说服努力之间的相互作用。我们证明，社会舆论两极分化往往是影响者试图推广产品或想法的意外副产品。我们讨论了涉及一个或多个影响者、战略性地、启发式地或随机地发送信息的极化出现的一些机制。我们还研究了选择影响代理人的最有效手段的一些计算方面以及这些战略考虑对极化的影响。资助：J. Hązła得到了美国国家科学基金会[资助DMS-1737944]和亚历山大·冯·洪堡基金会[非洲数学科学研究所卢旺达研究主席资助]以及德国学术交流服务中心（DAAD）[与法兰克福歌德大学合作资助]的部分支持。Y. Jin得到了国防部的部分支持[Grant ARO MURI W911NF1910217]。E. Mossel部分得到了Simons数学研究者[奖622132]，国家科学基金会[奖DMS-1737944和CCF-1918421]和国防部[Grant ARO MURI W911NF1910217]和Vannevar Bush[教员奖学金ONR-N00014-20-1-2826]的支持。G. Ramnarayan得到了美国国家科学基金会[Grant DMS-1737944]和美国国防部[Grant ARO MURI W911NF1910217]的部分资助。
We introduce a simple geometric model of opinion polarization. It is a model of political persuasion as well as marketing and advertising, utilizing social values. It focuses on the interplay between different topics and persuasion efforts. We demonstrate that societal opinion polarization often arises as an unintended by-product of influencers attempting to promote a product or idea. We discuss a number of mechanisms for the emergence of polarization involving one or more influencers, sending messages strategically, heuristically, or randomly. We also examine some computational aspects of choosing the most effective means of influencing agents and the effects of those strategic considerations on polarization. Funding: J. Hązła was partially supported by the National Science Foundation [Grant DMS-1737944] and later, the Alexander von Humboldt Foundation [African Institute for Mathematical Sciences Rwanda research chair funding] as well as the German Academic Exchange Service (DAAD) [grant in cooperation with Goethe University in Frankfurt]. Y. Jin was partially supported by the Department of Defense [Grant ARO MURI W911NF1910217]. E. Mossel was partially supported by the Simons Investigator in Mathematics [Award 622132], the National Science Foundation [Awards DMS-1737944 and CCF-1918421] and the Department of Defense [Grant ARO MURI W911NF1910217] and Vannevar Bush [Faculty Fellowship ONR-N00014-20-1-2826]. G. Ramnarayan was partially supported by the National Science Foundation [Grant DMS-1737944] and the Department of Defense [Grant ARO MURI W911NF1910217].