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“…Quantum game theory is currently above all a mathematical domain (see Piotrowski & Sładkowski, 2003 for an outline). Nevertheless, several papers have applied this to social science: Badredine Arfi uses the entanglement of players to explain the occurrence of trust in the Prisoner's Dilemma game.…”

Section: Quantum Game Theorymentioning

confidence: 99%

Quantum Theory of International Relations: Approaches and Possible Gains

Tesař

2015

Human Affairs

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This paper considers the possible application of quantum theory in political studies, especially in international relations. We introduce our classification based on three logical ways of how to connect areas so remote: through the relation of identity, analogy and metaphor which reflects three basic epistemic positions. Next, we review existing work against this classification before moving on to consider some of the uses and potential gains offered by quantum mind hypothesis, quantum models of reasoning and decisionmaking, and quantum metaphor. 487 observer, a world that can be grasped by man to be observed and measured. This broad worldview is also reflected in the positivistic tradition of IR theory (Akrivoulis, 2002). But this clear deterministic notion has gradually failed as reality has been interpreted. The use of the "new-better physics" which alters some of the classical assumptions could help to solve some of the inadequacies of classical theories. Indeed, some recent research has achieved notable results in this field (e.g. Pothos & Busemeyer, 2009, see below).Second, the shortcomings of traditional perspectives in IR theory gave birth to several interpretative approaches that reject classical determinism and objectivism. Nevertheless, they have never challenged the core assumptions of the Cartesian worldview. The radical shift to holism and idealism (in terms of Wendt's four sociologies (Wendt, 1999)) has not been accompanied by a proper shift in the underlying metaphysics. There is still "an epistemic vacuum" (see Kazemi, n.d.), which quantum theory could help to fill. This would mean that scientific universalism could be partly regained.This article consists of two parts with two different aims. In the first section we consider how QT has changed our traditional (Cartesian/Newtonian) worldview. In the second part we review existing approaches to the application of QT in sociology and political science and comparing the various ontological and epistemological positions they take. We discuss quantum mind, quantum reasoning, and the quantum metaphor approach. Finally we use this as the basis for setting out our ideas on the future direction of research in this field.

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“…Quantum games are games in the standard sense but the approach allows for harnessing quantum phenomena during the course of the game [17,18]. The developed formalism can be also used in a more abstract sense regardless of its the quantum theoretical roots.…”

Section: Preliminariesmentioning

confidence: 99%

General Model for an Entanglement-Enhanced Composed Quantum Game on a Two-Dimensional Lattice

2014

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We introduce a method of analyzing entanglement enhanced quantum games on regular lattices of agents. Our method is valid for setups with periodic and non-periodic boundary conditions. To demonstrate our approach we study two different types games, namely the prisoner's dilemma game and a cooperative Parrondo's game. In both cases we obtain results showing, that entanglement is a crucial resource necessary for the agents to achieve positive capital gain.

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Cited by 140 publications

References 20 publications

Mixed Nash equilibria in Eisert-Lewenstein-Wilkens (ELW) games

Mixed Nash equilibria in Eisert-Lewenstein-Wilkens (ELW) games

Quantum Theory of International Relations: Approaches and Possible Gains

General Model for an Entanglement-Enhanced Composed Quantum Game on a Two-Dimensional Lattice

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