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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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journal contribution
posted on 04.01.2016, 15:17 by Emmanuel E. Haven, F. Bagarello
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. Moreover, we show how the same Hamiltonian can also be used to construct a formal structure which can describe the dynamics of buying and selling financial assets (without however implying a specific price setting mechanism).

History

Citation

Physica A: Statistical Mechanics and its Applications, 2016, 444, pp. 403-414

Author affiliation

/Organisation/COLLEGE OF SOCIAL SCIENCES, ARTS AND HUMANITIES/School of Management

Version

AM (Accepted Manuscript)

Published in

Physica A: Statistical Mechanics and its Applications

Publisher

Elsevier for North-Holland

issn

0378-4371

Acceptance date

01/10/2015

Copyright date

2016

Available date

20/10/2016

Publisher version

http://www.sciencedirect.com/science/article/pii/S0378437115008687

Notes

12 month embargo from first publication.

Language

en

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