Quantum games of opinion formation based on the Marinatto-Weber quantum game scheme

¹ School of Computer and Information Science, Southwest University - Chongqing 400715, China
² Center for Quantitative Sciences, Vanderbilt University Medical Center - Nashville, TN, 37232, USA
³ Institute of Integrated Automation, School of Electronic and Information Engineering, Xi'an Jiaotong University Xi'an, Shaanxi, 710049, China
⁴ Big Data Decision Institute, Jinan University - Tianhe, Guangzhou 510632, China
⁵ Department of Biomedical Informatics, Vanderbilt University Medical Center - Nashville, TN, 37232, USA
⁶ Statistics and Mathematics College, Yunnan University of Finance and Economics - Kunming 650221, China
⁷ School of Automation, Northwestern Polytechnical University - Xi'an 710072, China

^(a) ydeng@swu.edu.cn (corresponding author)
^(b) shilei65@hotmail.com (corresponding author)
^(c) zhenwang0@gmail.com (corresponding author)

Received: 24 November 2015
Accepted: 14 June 2016

Abstract

Quantization has become a new way to investigate classical game theory since quantum strategies and quantum games were proposed. In the existing studies, many typical game models, such as the prisoner's dilemma, battle of the sexes, Hawk-Dove game, have been extensively explored by using quantization approach. Along a similar method, here several game models of opinion formations will be quantized on the basis of the Marinatto-Weber quantum game scheme, a frequently used scheme of converting classical games to quantum versions. Our results show that the quantization can fascinatingly change the properties of some classical opinion formation game models so as to generate win-win outcomes.