An Application of the Theory of Open Quantum Systems to Model the Dynamics of Party Governance in the US Political System

Khrennikova, Polina; Haven, Emmanuel; Khrennikov, Andrei

doi:10.1007/s10773-013-1931-6

Cited by 82 publications

(49 citation statements)

References 50 publications

(77 reference statements)

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“…The solution of (2.9) is easily found in a matricial form: 10) which is now the starting point for our analysis below.…”

Section: The Model and Its Dynamicsmentioning

confidence: 99%

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An Operator View on Alliances in Politics

Багарелло¹

2015

SIAM J. Appl. Math.

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We introduce the concept of an operator decision making technique and apply it to a concrete political problem: should a given political party form a coalition or not? We focus on the situation of three political parties, and divide the electorate into four groups: partisan supporters of each party and a group of undecided voters. We consider party-party interactions of two forms: shared or differing alliance attitudes. Our main results consist of time-dependent decision functions for each of the three parties, and their asymptotic values, i.e., their final decisions on whether or not to form a coalition.

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“…The solution of (2.9) is easily found in a matricial form: 10) which is now the starting point for our analysis below.…”

Section: The Model and Its Dynamicsmentioning

confidence: 99%

“…Something in this direction can be found, for instance, in [10] and in references therein. On the other hand, as far as we know, there have been not many other attempts to construct mathematical models in politics, except some old paper like, for instance, [11].…”

Section: Introductionmentioning

confidence: 96%

An Operator View on Alliances in Politics

Багарелло¹

2015

SIAM J. Appl. Math.

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“…Paper [14] considered electoral interpretation of the game (see also [38]). The decrease of the importance of intransitive orders, which accompanies the growth of the support for one of the candidates (if voters start to prefer one of the candidates), turned out to be an interesting property of the quantum game model.…”

Section: Hugo Steinhaus Mentionsmentioning

confidence: 99%

Do Transitive Preferences Always Result in Indifferent Divisions?

Makowski

Piotrowski

Sładkowski

2015

Entropy

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The transitivity of preferences is one of the basic assumptions used in the theory of games and decisions. It is often equated with the rationality of choice and is considered useful in building rankings. Intransitive preferences are considered paradoxical and undesirable. This problem is discussed by many social and natural scientists. A simple model of a sequential game in which two players choose one of the two elements in each iteration is discussed in this paper. The players make their decisions in different contexts defined by the rules of the game. It appears that the optimal strategy of one of the players can only be intransitive (the so-called relevant intransitive strategy)! On the other hand, the optimal strategy for the second player can be either transitive or intransitive. A quantum model of the game using pure one-qubit strategies is considered. In this model, an increase in the importance of intransitive strategies is observed: there is a certain course of the game where intransitive strategies are the only optimal strategies for both players. The study of decision-making models using quantum information theory tools may shed some new light on the understanding of mechanisms that drive the formation of types of preferences.

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“…Another option to arrest the characteristic probability oscillation is to include a third stage in the experimental paradigm driven by a 'grab coat and leave' Hamiltonian, which would be dedicated to freeze the perceived memory state (set all driving parameters γ equal to zero). More elegantly a termination should be formalized to damp the memory state vector back into its baseline uninformed state by using Lindblad evolution for an open system (e.g., [27,28] Broekaert et al, under review).…”

Section: The Hamiltonian Driven Qem Modelmentioning

confidence: 99%

A Hamiltonian Driven Quantum-Like Model for Overdistribution in Episodic Memory Recollection

Broekaert

Busemeyer

2017

Front. Phys.

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While people famously forget genuine memories over time, they also tend to mistakenly over-recall equivalent memories concerning a given event. The memory phenomenon is known by the name of episodic overdistribution and occurs both in memories of disjunctions and partitions of mutually exclusive events and has been tested, modeled and documented in the literature. The total classical probability of recalling exclusive sub-events most often exceeds the probability of recalling the composed event, i.e., a subadditive total. We present a Hamiltonian driven propagation for the Quantum Episodic Memory model developed by Brainerd et al. [1] for the episodic memory overdistribution in the experimental immediate item false memory paradigm [1][2][3]. Following the Hamiltonian method of Busemeyer and Bruza [4] our model adds time-evolution of the perceived memory state through the stages of the experimental process based on psychologically interpretable parameters-γ c for recollection capability of cues, κ p for bias or description-dependence by probes and β for the average gist component in the memory state at start. With seven parameters the Hamiltonian model shows good accuracy of predictions both in the EOD-disjunction and in the EOD-subadditivity paradigm. We noticed either an outspoken preponderance of the gist over verbatim trace, or the opposite, in the initial memory state when β is real. Only for complex β a mix of both traces is present in the initial state for the EOD-subadditivity paradigm.

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An Application of the Theory of Open Quantum Systems to Model the Dynamics of Party Governance in the US Political System

Cited by 82 publications

References 50 publications

An Operator View on Alliances in Politics

An Operator View on Alliances in Politics

Do Transitive Preferences Always Result in Indifferent Divisions?

A Hamiltonian Driven Quantum-Like Model for Overdistribution in Episodic Memory Recollection

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