Abstract
This is the third and final part of the article titled Quantum Game Theory: A Comprehensive Study [1, 2]. Here, we introduce the concept of quantum two-person duel and conclude our three-part article.
Similar content being viewed by others
Suggested Reading
Indranil Ghosh, Quantum Game Theory-I: Comprehensive Study, Resonance, Vol.26, No.5, pp.671–684, 2021.
Indranil Ghosh, Quantum Game Theory-II: A Comprehensive Study, Resonance, Vol.26, No.6, pp.791–812, 2021.
Adrian P Flitney and Derek Abbott, Quantum duels and truels, In Fluctuations and Noise in Photonics and Quantum Optics, Vol.5111, pp.358–369, International Society for Optics and Photonics, 2003.
D Mark Kilgour, The sequential truel, International Journal of Game Theory, 4(3), pp.151–174, 1975.
D Marc Kilgour, The simultaneous truel, International Journal of Game Theory, 1(1), pp.229–242, 1971.
D Marc Kilgour and Steven J Brams, The truel, Mathematics Magazine, 70(5):, pp.315–326, 1997.
W F Balthazar, M H M Passos, A G M Schmidt, D P Caetano, and J A O Huguenin, Experimental realization of the quantum duel game using linear optical circuits, Journal of Physics B: Atomic, Molecular and Optical Physics, 48(16):165505, 2015.
Alexandre G M Schmidt and Ladário da Silva, Quantum Russian roulette, Physica A: Statistical Mechanics and its Applications, 392(2): pp.400–410, 2013.
Piotr Frackiewicz and Alexandre G M Schmidt, N-person quantum Russian roulette, Physica A: Statistical Mechanics and its Applications, 401, pp.8–14, 2014.
Alexandre G M Schmidt and Milena M Paiva, Quantum duel revisited, Journal of Physics A: Mathematical and Theoretical, 45(12):125304, 2012.
Ahmad Nawaz and A H Toor, Dilemma and quantum battle of sexes, Journal of Physics A: Mathematical and General, 37(15):4437, 2004.
Adrian P Flitney and Derek Abbott, Quantum version of the Monty Hall problem, Physical Review A, 65(6):062318, 2002.
A P Flitney, J Ng, and D Abbott, Quantum Parrondo’s games, Physica A: Statistical Mechanics and Its Applications, 314(1), pp.35–42, 2002. Horizons in Complex Systems.
Indranil Ghosh, QGameTheoryr: Quantum Game Theory Simulator R package version 0.1.2., https://cran.rproject.org/web/packages/QGameTheory/index.html
Acknowledgement
I would like to express my special thanks of gratitude to the department of Physics, Jadavpur University for allowing me extra times to work on this project. Conflict of interest: The author declares that he has no conflict of interest.
Author information
Authors and Affiliations
Corresponding author
Additional information
Indranil Ghosh is a graduate student doing his MSc in physics; specialising in condensed matter physics, from the Department of Physics, Jadavpur University, Kolkata. His research interests include computational physics, numerical computing, quantum mechanics and quantum computing.
Rights and permissions
About this article
Cite this article
Ghosh, I. Quantum Game Theory — III. Reson 26, 939–951 (2021). https://doi.org/10.1007/s12045-021-1193-1
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12045-021-1193-1