JMP_Polina_Khrennikova.pdf (353.46 kB)
Download file

Quantum Dynamical Modeling of Competition and Cooperation between Political Parties: the Coalition and Non-coalition Equilibrium Model

Download (353.46 kB)
journal contribution
posted on 16.03.2016, 11:39 by Polina Khrennikova
We propose a model of parties’ dynamical decision-making related to becoming a member of a coalition or pursuing a competitive strategy. Our approach is based on the mathematical formalism of quantum information theory. The devised model has no direct relation to quantum physics, only its mathematical apparatus and methodology are applied, in particular the quantum probability and the theory of open quantum systems. The latter describes the most general form of adaptive dynamics of a system interacting with an environment. In our model the environment is composed of the electorate, or more specifically the informational bath generated by the parties’ electorate, which is a key part of the socio-economic context surrounding the political party as a decision-making entity. The key feature of the quantum model is the ability to capture the strong interrelation of the parties’ decision making states, through the notion of entanglement. The preferences of different parties evolve simultaneously and non-separably in the joint information space. We model the approaching of the state of political equilibrium by using the Markov approximation of the quantum master equation. Illustrative examples of numerical simulations are presented to specify, how the model works operationally.

History

Citation

Journal of Mathematical Psychology, 71 (2016) 39–50

Version

AM (Accepted Manuscript)

Published in

Journal of Mathematical Psychology

Publisher

Elsevier for Society for Mathematical Psychology

issn

0022-2496

Acceptance date

01/03/2016

Copyright date

2016

Available date

31/03/2018

Publisher version

http://www.sciencedirect.com/science/article/pii/S0022249616000250

Notes

This file is under embargo for 24 months from the date of first publication.

Language

en