arXiv 0902.47602009-02-27quant-ph

Communication aspects of a three-player Prisoner's Dilemma quantum game

M. Ramzan, M. K. Khan

备注：: 14 pages, 1 .eps figure, 3 tables
发表信息：: J. Phys. A: Math. Theor. 42 (2009) 025301
DOI：: 10.1088/1751-8113/42/2/025301

英文摘要：

We present a quantization scheme for a three-player Prisoner's Dilemma game. It is shown that entanglement plays a dominant role in the three-player quantum game. Four different types of payoffs are identified on the basis of different combinations of initial state and measurement basis entanglement parameters. A relation among these different payoffs is also established. We also study the communication aspects of the three-player game. By exploiting different combinations of initial state and measurement basis entanglement parameters, we establish a relationship for the information shared among the parties. It is seen that the strategies of the players act as carriers of information in quantum games.

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