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Open AccessJournal ArticleDOI

An improved model of alliances between political parties

Fabio Bagarello
- 23 Feb 2016 - 
- Vol. 65, Iss: 2, pp 399-412
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TLDR
In this paper, an operatorial model of alliances between three political parties which interact with their electors, with the undecided voters, and with the electors of the other parties is considered, and the dynamics of the so-called decision functions are deduced, and some explicit situations are considered in details.
Abstract
We consider an operatorial model of alliances between three political parties which interact with their electors, with the undecided voters, and with the electors of the other parties. This extends what was done in a previous paper, where this last type of interactions was not considered. Of course, taking them into account makes the system closer to real life. To produce an exactly solvable model, we restrict here to quadratic Hamiltonians, so that the equations of motion turn out to be linear. The dynamics of the so-called decision functions are deduced, and some explicit situations are considered in details.

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Modeling interactions between political parties and electors

TL;DR: In this article, the authors 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, and propose and compare three different models, deducing the dynamics of their related decision functions.
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References
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Book

Quantum Models of Cognition and Decision

TL;DR: The foundations for modelling probabilistic-dynamic systems using two aspects of quantum theory, 'contextuality' and 'quantum entanglement', are introduced, which allow cognitive phenomena to be modeled in non-reductionist ways.
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An Expository Development of a Mathematical Model of the Electoral Process

TL;DR: In this article, a mathematical model of one aggregative mechanism, the electoral process, is conceptualized as a multidimensional model of spatial competition in which competition consists of candidates affecting turnout and the electorate's perception of each candidate's positions, and in which the social choice is a policy package which the victorious candidate advocates.
MonographDOI

Quantum Social Science

TL;DR: In this paper, a quantum social science: a non-mathematical motivation for non-quantum motivation in social science is discussed, and the Bohm-Vigier Model and path simulation are discussed.
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