Hawk-Dove-Bully-Retaliator quantum game CAS aided

Juan M. López R.

doi:10.1117/12.849539

16 April 2010 Hawk-Dove-Bully-Retaliator quantum game CAS aided

Juan M. López R.

Proceedings Volume 7702, Quantum Information and Computation VIII; 77020Y (2010) https://doi.org/10.1117/12.849539
Event: SPIE Defense, Security, and Sensing, 2010, Orlando, Florida, United States

Abstract

The known Hawk and Dove game is analyzed from quantum mechanics with another two possible behaviors, Bully and Retaliator. The formalism used in the development of the strategies is not Dirac's due to its complex implementation in Computer Algebra System (CAS) but the matrix analysis is proposed. Both are completely alike in the results given, so the matrix method used is not less efficient than Dirac's. The classical game with the four strategies is also described and compared. As results of the quantum game, are presented pay-offs matrixes for possible players, the density matrix and its relation to quantum information and communication. Applications such as finances and biology are also presented and proposed.

Citation Download Citation

Juan M. López R. "Hawk-Dove-Bully-Retaliator quantum game CAS aided", Proc. SPIE 7702, Quantum Information and Computation VIII, 77020Y (16 April 2010); https://doi.org/10.1117/12.849539

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