IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v481y2017icp243-264.html
   My bibliography  Save this article

Modeling interactions between political parties and electors

Author

Listed:
  • Bagarello, F.
  • Gargano, F.

Abstract

In this paper we extend some recent results on an operatorial approach to the description of alliances between political parties interacting among themselves and with a basin of electors. In particular, we propose and compare three different models, deducing the dynamics of their related decision functions, i.e. the attitude of each party to form or not an alliance. In the first model the interactions between each party and their electors are considered. We show that these interactions drive the decision functions toward certain asymptotic values depending on the electors only: this is the perfect party, which behaves following the electors’ suggestions. The second model is an extension of the first one in which we include a rule which modifies the status of the electors, and of the decision functions as a consequence, at some specific time step. In the third model we neglect the interactions with the electors while we consider cubic and quartic interactions between the parties and we show that we get (slightly oscillating) asymptotic values for the decision functions, close to their initial values. This is the real party, which does not listen to the electors. Several explicit situations are considered in details and numerical results are also shown.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:481:y:2017:i:c:p:243-264
    DOI: 10.1016/j.physa.2017.04.035
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437117303382
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2017.04.035?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Bagarello, Fabio & Oliveri, Francesco, 2014. "Dynamics of closed ecosystems described by operators," Ecological Modelling, Elsevier, vol. 275(C), pages 89-99.
    2. 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.
    3. Asano, Masanari & Basieva, Irina & Khrennikov, Andrei & Ohya, Masanori & Tanaka, Yoshiharu, 2012. "Quantum-like dynamics of decision-making," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(5), pages 2083-2099.
    4. Feichtinger, Gustav & Wirl, Franz, 1994. "On the stability and potential cyclicity of corruption in governments subject to popularity constraints," Mathematical Social Sciences, Elsevier, vol. 28(2), pages 113-131, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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. Bagarello, F., 2020. "One-directional quantum mechanical dynamics and an application to decision making," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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. Bagarello, F., 2020. "One-directional quantum mechanical dynamics and an application to decision making," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    4. Björn Frank, 2004. "Zehn Jahre empirische Korruptionsforschung," Vierteljahrshefte zur Wirtschaftsforschung / Quarterly Journal of Economic Research, DIW Berlin, German Institute for Economic Research, vol. 73(2), pages 184-199.
    5. Khrennikov, Andrei, 2015. "Quantum version of Aumann’s approach to common knowledge: Sufficient conditions of impossibility to agree on disagree," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 89-104.
    6. Sanyal, Amal & Gang, Ira N & Goswami, Omkar, 2000. "Corruption, Tax Evasion and the Laffer Curve," Public Choice, Springer, vol. 105(1-2), pages 61-78, October.
    7. Ali Hussein Samadi & Afshin Montakhab & Hussein Marzban & Sakine Owjimehr, 2017. "Quantum Barro--Gordon Game in Monetary Economics," Papers 1708.05689, arXiv.org.
    8. Luke Snow & Shashwat Jain & Vikram Krishnamurthy, 2022. "Lyapunov based Stochastic Stability of Human-Machine Interaction: A Quantum Decision System Approach," Papers 2204.00059, arXiv.org.
    9. Bruno Buonomo & Alberto d’Onofrio, 2013. "Modeling the Influence of Public’s Memory on the Corruption–Popularity Dilemma in Politics," Journal of Optimization Theory and Applications, Springer, vol. 158(2), pages 554-575, August.
    10. Jonathan P. Caulkins & Gustav Feichtinger & Dieter Grass & Richard F. Hartl & Peter M. Kort & Andreas J. Novak & Andrea Seidl & Franz Wirl, 2014. "A Dynamic Analysis of Schelling’s Binary Corruption Model: A Competitive Equilibrium Approach," Journal of Optimization Theory and Applications, Springer, vol. 161(2), pages 608-625, May.
    11. Herzfeld, Thomas & Weiss, Christoph, 2003. "Corruption and legal (in)effectiveness: an empirical investigation," European Journal of Political Economy, Elsevier, vol. 19(3), pages 621-632, September.
    12. 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.
    13. Becker, Sascha & Egger, Peter H & Seidel, Tobias, 2008. "Corruption Epidemics," Stirling Economics Discussion Papers 2008-09, University of Stirling, Division of Economics.
    14. Herbert Dawid & Gustav Feichtinger, 1996. "On the persistence of corruption," Journal of Economics, Springer, vol. 64(2), pages 177-193, June.
    15. Herbert Dawid & Engelbert Dockner & Richard Hartl & Josef Haunschmied & Ulrike Leopold-Wildburger & Mikulas Luptacik & Alexander Mehlmann & Alexia Prskawetz & Marion Rauner & Gerhard Sorger & Gernot T, 2010. "Gustav Feichtinger celebrates his 70th birthday," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 18(4), pages 437-451, December.
    16. 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.
    17. Charles-Cadogan, G., 2021. "Utility Representation in Abstract Wiener Space," CRETA Online Discussion Paper Series 70, Centre for Research in Economic Theory and its Applications CRETA.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:481:y:2017:i:c:p:243-264. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.