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Title: Quantum Dynamical Modeling of Competition and Cooperation between Political Parties: the Coalition and Non-coalition Equilibrium Model
Authors: Khrennikova, Polina
First Published: 31-Mar-2016
Publisher: Elsevier for Society for Mathematical Psychology
Citation: Journal of Mathematical Psychology, 71 (2016) 39–50
Abstract: 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.
DOI Link: 10.1016/
ISSN: 0022-2496
Embargo on file until: 31-Mar-2018
Version: Post-print
Status: Peer-reviewed
Type: Journal Article
Rights: Copyright © 2016, Elsevier. Deposited with reference to the publisher’s archiving policy available on the SHERPA/RoMEO website. Following the embargo period the version associated with this record is distributed under the terms of the Creative Commons Attribution-Non Commercial-No Derivatives License ( ), which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made.
Description: This file is under embargo for 24 months from the date of first publication.
Appears in Collections:Published Articles, School of Management

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