First-order continuous models of opinion formation

被引:46
|
作者
Aletti, Giacomo
Naldi, Giovanni
Toscani, Giuseppe
机构
[1] Univ Milan, Dept Math, I-20133 Milan, Italy
[2] Univ Pavia, Dept Math, I-27100 Pavia, Italy
关键词
nonlinear nonlocal hyperbolic equation; sociophysics; opinion formation; magnetization;
D O I
10.1137/060658679
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study certain nonlinear continuous models of opinion formation derived from a kinetic description involving exchanges of opinion between individual agents. These models imply that the only possible final opinions are the extremal ones, and they are similar to models of pure drift in magnetization. Both analytical and numerical methods allow us to recover the. nal distribution of opinion between the two extremal ones.
引用
收藏
页码:837 / 853
页数:17
相关论文
共 50 条
  • [1] FIRST-ORDER KINETICS IN CONTINUOUS REACTORS
    SHINNAR, R
    GLASSER, D
    KATZ, S
    [J]. CHEMICAL ENGINEERING SCIENCE, 1973, 28 (02) : 617 - 621
  • [2] Provable First-Order Transitions for Nonlinear Vector and Gauge Models with Continuous Symmetries
    Aernout C. D. van Enter
    Senya B. Shlosman
    [J]. Communications in Mathematical Physics, 2005, 255 : 21 - 32
  • [3] Provable first-order transitions for nonlinear vector and gauge models with continuous symmetries
    van Enter, ACD
    Shlosman, SB
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2005, 255 (01) : 21 - 32
  • [4] A first-order representation of stable models
    Eiter, T
    Lu, J
    Subrahmanian, VS
    [J]. AI COMMUNICATIONS, 1998, 11 (01) : 53 - 73
  • [5] First-order aggregation models with alignment
    Fetecau, Razvan C.
    Sun, Weiran
    Tan, Changhui
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 2016, 325 : 146 - 163
  • [6] A PROOF OF COMPLETENESS FOR CONTINUOUS FIRST-ORDER LOGIC
    Ben Yaacov, Itai
    Pedersen, Arthur Paul
    [J]. JOURNAL OF SYMBOLIC LOGIC, 2010, 75 (01) : 168 - 190
  • [7] Consensus formation in first-order graphon models with time-varying topologies
    Bonnet, Benoit
    Duteil, Nastassia Pouradier
    Sigalotti, Mario
    [J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2022, 32 (11): : 2121 - 2188
  • [8] First-Order Logic and First-Order Functions
    Freire, Rodrigo A.
    [J]. LOGICA UNIVERSALIS, 2015, 9 (03) : 281 - 329
  • [9] Probabilistic characterisation of models of first-order theories
    Rad, Soroush Rafiee
    [J]. ANNALS OF PURE AND APPLIED LOGIC, 2021, 172 (01)
  • [10] The inadequacy of first-order treatment wetland models
    Kadlec, RH
    [J]. ECOLOGICAL ENGINEERING, 2000, 15 (1-2) : 105 - 119