Abstract
Prisoners’ Dilemma is a well-known game in game theory with many variations and applications in a number of fields. The addition of quantum strategies in this game opens up new possibilities and changes the equilibria of the game significantly.
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References
Alonso-Sanz R (2017) On the effect of quantum noise in a quantum prisoner’s dilemma cellular automaton. Quantum Inf Process 16(6):161
Axelrod R (1980) Effective choice in the prisoner’s dilemma. J Confl Resolut 24(1):3–25
Axelrod R, Hamilton WD (1981) The evolution of cooperation. Science 211(4489):1390–1396
Burridge J, Gao Y, Mao Y (2017) Delayed response in the hawk dove game. Eur Phys J B 90(1):13
Chen KY, Hogg T (2006) How well do people play a quantum prisoners dilemma? Quantum Inf Process 5(1):43–67
Chen KY, Hogg T, Beausoleil R (2002) A quantum treatment of public goods economics. Quantum Inf Process 1(6):449–469
Chen L, Ang H, Kiang D, Kwek L, Lo C (2003) Quantum prisoner dilemma under decoherence. Phys Lett A 316(5):317–323
Craig JL (1984) Are communal pukeko caught in the prisoner’s dilemma? Behav Ecol Sociobiol 14(2):147–150
Du J, Xu X, Li H, Zhou X, Han R (2001) Entanglement playing a dominating role in quantum games. Phys Lett A 289(1–2):9–15
Du J, Li H, Xu X, Zhou X, Han R (2002a) Entanglement enhanced multiplayer quantum games. Phys Lett A 302(5–6):229–233
Du J, Xu X, Li H, Zhou X, Han R (2002b) Playing prisoner’s dilemma with quantum rules. Fluctuation Noise Lett 2(04):R189–R203
Du J, Ju C, Li H (2005) Quantum entanglement helps in improving economic efficiency. J Phys A Math Gen 38(7):1559
Eisert J, Wilkens M (2000) Quantum games. J Mod Opt 47(14–15):2543–2556
Eisert J, Wilkens M, Lewenstein M (1999) Quantum games and quantum strategies. Phys Rev Lett 83(15):3077
Flitney AP, Hollenberg LC (2007) Nash equilibria in quantum games with generalized two-parameter strategies. Phys Lett A 363(5–6):381–388
Flood MM (1958) Some experimental games. Manag Sci 5(1):5–26
Huang D, Li S (2017) Software work for analysing the current status of research on quantum games. University of Westminster, London
Iqbal A, Toor A (2002) Quantum repeated games. Phys Lett A 300(6):541–546
Lewontin RC (1961) Evolution and the theory of games. J Theor Biol 1(3):382–403
Liu BY, Dai HY, Zhang M (2017) Playing distributed two-party quantum games on quantum networks. Quantum Inf Process 16(12):290
McAdams RH (2008) Beyond the prisoners’ dilemma: coordination, game theory, and law. S Cal L Rev 82:209
Melo-Luna CA, Susa CE, Ducuara AF, Barreiro A, Reina JH (2017) Quantum locality in game strategy. Sci Rep 7:44,730
Miller JH (1996) The coevolution of automata in the repeated prisoner’s dilemma. J Econ Behav Organ 29(1):87–112
Nowak M, Sigmund K (1993) A strategy of win-stay, lose-shift that outperforms tit-for-tat in the prisoner’s dilemma game. Nature 364(6432):56
Osborne MJ et al (2004) An introduction to game theory, vol 3. Oxford University Press, New York
Shubik M (1984) A game-theory in the social sciences: concepts and solutions. MIT Press, Cambridge, Massachusetts
Siopsis G, Balu R, Solmeyer N (2018) Quantum prisoners dilemma under enhanced interrogation. Quantum Inf Process 17(6):144
Smith JM, Price GR (1973) The logic of animal conflict. Nature 246(5427):15
Solmeyer N, Dixon R, Balu R (2017) Characterizing the Nash equilibria of a three-player Bayesian quantum game. Quantum Inf Process 16(6):146
Turner PE, Chao L (1999) Prisoner’s dilemma in an rna virus. Nature 398(6726):441
Von Neumann J, Morgenstern O (1944/1947) Theory of games and economic behavior. Princeton University Press, Princeton, NJ, US, pp 8–31
Vulic M, Kolter R (2001) Evolutionary cheating in escherichia coli stationary phase cultures. Genetics 158(2):519–526
Zhang S (2012) Quantum strategic game theory. In: Proceedings of the 3rd innovations in theoretical computer science conference. ACM, New York, pp 39–59
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Kastampolidou, K., Nikiforos, M.N., Andronikos, T. (2020). A Brief Survey of the Prisoners’ Dilemma Game and Its Potential Use in Biology. In: Vlamos, P. (eds) GeNeDis 2018. Advances in Experimental Medicine and Biology, vol 1194. Springer, Cham. https://doi.org/10.1007/978-3-030-32622-7_29
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DOI: https://doi.org/10.1007/978-3-030-32622-7_29
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