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First results on applying a non-linear effect formalism to alliances between political parties and buy and sell dynamics

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  • Bagarello, F.
  • Haven, E.

Abstract

We discuss a non linear extension of a model of alliances in politics, recently proposed by one of us. The model is constructed in terms of operators, describing the interest of three parties to form, or not, some political alliance with the other parties. The time evolution of what we call the decision functions is deduced by introducing a suitable Hamiltonian, which describes the main effects of the interactions of the parties amongst themselves and with their environments, which are generated by their electors and by people who still have no clear idea for which party to vote (or even if to vote). The Hamiltonian contains some non-linear effects, which takes into account the role of a party in the decision process of the other two parties.

Suggested Citation

  • Bagarello, F. & Haven, E., 2016. "First results on applying a non-linear effect formalism to alliances between political parties and buy and sell dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 403-414.
    • Handle: RePEc:eee:phsmap:v:444:y:2016:i:c:p:403-414
    DOI: 10.1016/j.physa.2015.10.022
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    References listed on IDEAS

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    1. Bagarello, F. & Haven, E., 2014. "The role of information in a two-traders market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 404(C), pages 224-233.
    2. F. Bagarello & E. Haven, 2014. "Towards a formalization of a two traders market with information exchange," Papers 1412.8725, arXiv.org.
    3. Davis, Otto A. & Hinich, Melvin J. & Ordeshook, Peter C., 1970. "An Expository Development of a Mathematical Model of the Electoral Process," American Political Science Review, Cambridge University Press, vol. 64(2), pages 426-448, June.
    4. Chenghu Ma, 2011. "Advanced Asset Pricing Theory," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., volume 2, number p745, February.
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    Cited by:

    1. Di Salvo, Rosa & Gorgone, Matteo & Oliveri, Francesco, 2020. "Generalized Hamiltonian for a two-mode fermionic model and asymptotic equilibria," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    2. Bagarello, F. & Di Salvo, R. & Gargano, F. & Oliveri, F., 2018. "(H,ρ)-induced dynamics and large time behaviors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 355-373.
    3. Ali Hussein Samadi & Afshin Montakhab & Hussein Marzban & Sakine Owjimehr, 2017. "Quantum Barro--Gordon Game in Monetary Economics," Papers 1708.05689, arXiv.org.
    4. Bagarello, F. & Gargano, F., 2017. "Modeling interactions between political parties and electors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 481(C), pages 243-264.
    5. Khrennikova, Polina & Patra, Sudip, 2019. "Asset trading under non-classical ambiguity and heterogeneous beliefs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 562-577.
    6. Samadi, Ali Hussein & Montakhab, Afshin & Marzban, Hussein & Owjimehr, Sakine, 2018. "Quantum Barro–Gordon game in monetary economics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 489(C), pages 94-101.

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