Game Theory: Strategies, Equilibria, and Theorems by Ingrid N. Haugen, Anna S. Nilsen

By Ingrid N. Haugen, Anna S. Nilsen

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Example text

This is the well known free rider problem. In the quantum model of this game the actions corresponding to the qubit states |0 and |1 are taken to be cooperation (contribute ck = 1) and defection (ck = 0), respectively. Chen et al. consider three cases: • full entanglement between the N parties using (32) • players having multiple qubits, with two-particle entanglement between each pair of players using (18) 4 The subject of multi-particle entanglement is a complex one and well beyond this review.

H. Toor, “Stability of mixed Nash equilibrium in symmetric quantum games,” Commun. Theor. Phys. 42, 335–8 (2004). [67] A. Iqbal and T. Cheon, “Evolutionary stability in quantum games,” to be published in Quantum Aspects of Life, eds. D. Abbott, P. Davies, and A. 1413 (2007)]. [68] P. C. W. ,” BioSystems 78, 69–79 (2004). [69] A. Iqbal and A. H. Toor, “Quantum mechanics gives stability to Nash equilibrium,” Phys. Rev. A 65, 022036 (2002). 36 Adrian P. Flitney [70] S. C. Benjamin and P. M. Hayden, “Multiplayer quantum games,” Phys.

48] M. Schlosshauer, “Decoherence, the measurement problem, and interpretations of quantum mechanics,” Rev. Mod. Phys. 76, 1267–305 (2004). [49] M. Schlosshauer, Decoherence and the quantum-to-classical transition, Springer, Berlin-Heidelberg-New York (2007). [50] D. A. Lidar and K. B. Whaley, “Decoherence free subspaces and subsystems,” in Irreversible Quantum Dynamics, Springer Lecture Notes in Physics 622, eds. F. Benatti and R. Floreanini, Springer, Berlin, pp. 83–120 (2003). [51] N. F. Johnson, “Playing a quantum game with a corrupted source,” Phys.

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