Quantum two and three person duels
Abstract
In game theory, a popular model of a struggle for survival among three competing agents is a truel, or three person generalization of a duel. Adopting the ideas recently developed in quantum game theory, we present a quantum scheme for the problems of duels and truels. In the classical case, the outcome is sensitive to the precise rules under which the truel is performed and can be counter intuitive. These aspects carry over into our quantum scheme, but interference amongst the players' strategies can arise, leading to game equilibria different from the classical case.
Keywords
Cite
@article{arxiv.quant-ph/0305058,
title = {Quantum two and three person duels},
author = {Adrian P. Flitney and Derek Abbott},
journal= {arXiv preprint arXiv:quant-ph/0305058},
year = {2009}
}
Comments
v1: 12 pages, 9 figures, spie.cls file included, presented at the SPIE Symposium on Fluctuations and Noise, Santa Fe, June 1-4th 2003; v2: Minor revisions (mainly figures) after conference, 11 pages, 6 figures; v3: Figures 3 and 5 corrected, sections on n-player duels and decoherence added