Constructing multi-player quantum games from non-factorizable joint probabilities

Azhar Iqbal; Taksu Cheon

doi:10.1117/12.774374

5 January 2008 Constructing multi-player quantum games from non-factorizable joint probabilities

Azhar Iqbal, Taksu Cheon

Proceedings Volume 6802, Complex Systems II; 68020A (2008) https://doi.org/10.1117/12.774374
Event: SPIE Microelectronics, MEMS, and Nanotechnology, 2007, Canberra, ACT, Australia

Abstract

We use the standard three-party Einstein-Podolsky-Rosen (EPR) setting in order to play general three-player non-cooperative symmetric games. We analyze how the peculiar non-factorizable joint probabilities that may emerge in the EPR setting can change outcome of the game. Our setup requires that the quantum game attains classical interpretation for factor- izable joint probabilities. We analyze the generalized three-player game of Prisoner's Dilemma (PD) and show that the players can indeed escape from the classical outcome of the game because of non-factorizable joint probabilities. This result for three-player PD contrasts strikingly with our earlier result for two-player PD for which even non-factorizable joint prob- abilities are not found to be helpful to escape from the classical outcome of the game.

Citation Download Citation

Azhar Iqbal and Taksu Cheon "Constructing multi-player quantum games from non-factorizable joint probabilities", Proc. SPIE 6802, Complex Systems II, 68020A (5 January 2008); https://doi.org/10.1117/12.774374

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available