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Political Dynamics Affected by Turncoats

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Abstract

An operatorial theoretical model based on raising and lowering fermionic operators for the description of the dynamics of a political system consisting of macro–groups affected by turncoat–like behaviors is presented. The analysis of the party system dynamics is carried on by combining the action of a suitable quadratic Hamiltonian operator with specific rules (depending on the variations of the mean values of the observables) able to adjust periodically the conservative model to the political environment.

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References

  1. Johnson, P.E.: Formal theories of politics. Mathematical modelling in political science. Elsevier Ltd, Pergamon (1989)

    Book  MATH  Google Scholar 

  2. Lichtenegger, K., Hadzibeganovic, T.: The interplay of self–reflection, social interaction and random events in the dynamics of opinion flow in two–party democracies. Int. J. Mod. Phys. C 27 (05), 1650065 (2012). https://doi.org/10.1142/S0129183116500650. http://www.worldscientific.com/doi/pdf/10.1142/S0129183116500650

    Article  MathSciNet  Google Scholar 

  3. Misra, A.K.: A simple mathematical model for the spread of two political parties. Nonlinear Anal. Modell. Control 17, 343–354 (2012)

    MathSciNet  MATH  Google Scholar 

  4. Sened, I.: A model of coalition formation: theory and evidence. J. Polit. 58, 350–372 (1996)

    Article  Google Scholar 

  5. Khrennikova, P., Haven, E., Khrennikov, A.: An application of the theory of open quantum systems to model the dynamics of party governance in the US political system. Int. J. Theor. Phys. 53, 1346–1360 (2014)

    Article  MathSciNet  Google Scholar 

  6. Khrennikova, P.: Quantum dynamical modeling of competition and cooperation between political parties: the coalition and non–coalition equilibrium model. J. Math. Psychol. 71, 39–50 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  7. Merzbacher, E.: Quantum mechanics. J. Wiley, New York (1970)

    MATH  Google Scholar 

  8. Roman, P.: Advanced Quantum Mechanics. Addison–Wesley, New York (1965)

    Google Scholar 

  9. Bagarello, F.: Quantum Dynamics for Classical Systems: with Applications of the Number Operator. J. Wiley, New York (2012)

    Book  Google Scholar 

  10. Bagarello, F., Oliveri, F.: An operator description of interactions between populations with applications to migration. Math. Mod. Meth. Appl. Sci. 23, 471–492 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  11. Bagarello, F., Haven, E.: The role of information in a two–traders market. Phys. A Stat. Mech. Appl. 404, 224–233 (2014)

    Article  MathSciNet  Google Scholar 

  12. Bagarello, F., Haven, E.: Toward a formalization of a two traders market with information exchange. Phys. Scr. 90(1), 015203 (2015). http://stacks.iop.org/1402-4896/90/i=1/a=015203

    Article  ADS  Google Scholar 

  13. Bagarello, F., Oliveri, F.: Dynamics of closed ecosystems described by operators. Ecol. Model. 275, 89–99 (2014)

    Article  Google Scholar 

  14. Bagarello, F., Gargano, F., Oliveri, F.: A phenomenological operator description of dynamics of crowds: escape strategies. Appl. Math. Model. 39, 2276–2294 (2015)

    Article  MathSciNet  Google Scholar 

  15. Bagarello, F., Cherubini, A.M., Oliveri, F.: An operatorial description of desertification. SIAM J. Appl. Math. 76, 479–499 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  16. Di Salvo, R., Oliveri, F.: An operatorial model for long–term survival of bacterial populations. Ricerche mat. 65, 435–447 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  17. Di Salvo, R., Oliveri, F.: On fermionic models of a closed ecosystem with application to bacterial populations. AAPP–Phys. Math. Nat. Sci. 94(2), A5 (2016). https://doi.org/10.1478/AAPP.942A5

    MathSciNet  Google Scholar 

  18. Bagarello, F.: An operator view on alliances in politics. SIAM J. Appl. Math. 75, 564–584 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  19. Bagarello, F., Haven, E.: First results on applying a non–linear effect formalism to alliances between political parties and buy and sell dynamics. Phys. A 444, 403–414 (2016)

    Article  MathSciNet  Google Scholar 

  20. Peterson, M.: The Prisoner’s Dilemma. Cambridge University Press, Cambridge (2015)

  21. Rothe, J.: Economics and Computation: an Introduction to Algorithmic Game Theory, Computational Social Choice, and Fair Division. Springer, Berlin (2016)

    Book  MATH  Google Scholar 

  22. Di Salvo, R., Oliveri, F.: An Operatorial Model for Complex Political System Dynamics. Math. Meth. Appl. Sci. https://doi.org/10.1002/mma.4417 (2017)

  23. Di Salvo, R., Gorgone, M., Oliveri, F.: (H, ρ)–Induced Political Dynamics: Facets of the Disloyal Attitudes Into the Public Opinion. Int. J. Theor. Phys. https://doi.org/10.1007/s10773-017-3380-0 (2017)

  24. Bagarello, F., Di Salvo, R., Gargano, F., Oliveri, F.: (H, ρ)–induced dynamics and the quantum game of life. Appl. Math. Model. 43, 15–32 (2016)

    Article  MathSciNet  Google Scholar 

  25. Bagarello, F., Di Salvo, R., Gargano, F., Oliveri, F.: (H, ρ)–Dynamics and Large Time Behaviors, Submitted (2016)

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Acknowledgements

The research was partially funded by the Ph.D. School in Mathematics and Computer Science of the University of Catania.

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Correspondence to Rosa Di Salvo.

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Di Salvo, R., Gorgone, M. & Oliveri, F. Political Dynamics Affected by Turncoats. Int J Theor Phys 56, 3604–3614 (2017). https://doi.org/10.1007/s10773-017-3525-1

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  • DOI: https://doi.org/10.1007/s10773-017-3525-1

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