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Quantum Game Simulation

Part of the Emergence, Complexity and Computation Book Series (volume 36)

DOI: 10.1007/978-3-030-19634-9

ISBN: 978-3-030-19633-2

Publisher: Springer International Publishing - Springer Journals

May 22, 2019

1 - 10 of 12 Chapters

Available

Classical Game Theory

Alonso-Sanz, Ramón

Pages: 1 –9

[This chapter introduces the basic foundations of (classical) game theory. The games that are later taken into consideration to demonstrate how the implementation of quantum mechanic tools affects the field of game theory are featured in this chapter.]
Available

Quantum Approach to Game Theory

Alonso-Sanz, Ramón

Pages: 11 –19

[The quantum approach to game theory described in this chapter combines both the independent players and the Π\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs}...
Available

Spatial Quantum Game Simulation

Alonso-Sanz, Ramón

Pages: 21 –49

[This chapter deals with collective games in which the players are arranged in a spatially structured two-dimensional lattice as explained in Sect. 3.1. Sections 3.2 and 3.3 deal with two-parameter and three-parameter strategy simulations respectively. A variant of the canonical EWL model is...
Available

Unfair Contests

Alonso-Sanz, Ramón

Pages: 51 –72

[This chapter deals with unfair contests in two scenarios. That of Sect. 4.1 where one of the players has not access to every quantum parameter available to the other player, and that of Sect. 4.2 where only one player type updates his strategies.]
Available

Games on Networks

Alonso-Sanz, Ramón

Pages: 73 –89

[This chapter focuses on simulations where players are connected at random, instead of in the spatially structured manner as considered so far. Section 5.1 deals with simulations were both player-types update his strategies, whereas in Sect. 5.2 only one of the player-types updates his...
Available

Probabilistic Updating

Alonso-Sanz, Ramón

Pages: 91 –115

[TheProbabilistic updatingdeterministic imitation of the best rule is adopted across this book, with the only exception of the present chapter, where a probabilistic updating mechanism is implemented in the context of spatial simulations (PCA).]
Available

Quantum Noise

Alonso-Sanz, Ramón

Pages: 117 –139

[The disrupting effect of quantum noise on the dynamics of the spatial formulation of quantum games with variable entanglement is studied in this chapter. The Prisoner’s Dilemma and the Samaritan’s Dilemma (Alonso-Sanz and Situ in R Soc Open Sci 4(6):863–160669, 2017, [1]) are considered in this...
Available

Quantum Relativistic Games

Alonso-Sanz, Ramón

Pages: 141 –174

[This chapter studies the spatial quantum relativistic formulation of the iterated Prisoner’s Dilemma (Alonso-Sanz et al. in Int J Theor Phys 55(10):4310–4323, 2016, [1]) and the Battle of the Sexes (Alonso-Sanz and Situ in Phys A 468:267–277 (2017), [2]) games with variable entangling. The...
Available

Quantum Memory

Alonso-Sanz, Ramón

Pages: 175 –192

[The disrupting effect ofMemory (quantum) quantum memory on the dynamics of a spatial quantum formulation of the iterated Prisoner’s Dilemma game with variable entangling is studied in this chapter. The main findings of this chapter refer to the shrinking effect of memory on the disruption...
Available

Games with Werner-Like States

Alonso-Sanz, Ramón

Pages: 193 –207

[The density matrix of a Werner quantum state is invariant under all unitary operators of the form U⊗U\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs}...

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