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Article overview
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Quantum games and games with factorizable and non-factorizable probabilities | | Azhar Iqbal
; James M. Chappell
; Derek Abbott
; | | Date: |
3 Oct 2014 | | Abstract: | Eisert et al.’s quantization scheme for a bimatrix game involves players’
local unitary transformations on a pair of qubits and the subsequent quantum
measurement generating four quantum probabilities. When quantum probabilities
obey factorizability relations, the quantum game reduces itself to the
corresponding mixed-strategy classical game. In this paper, we present two
approaches in obtaining games with non-factorizable probabilities. In the first
approach, factorizability is controlled by an external parameter whereas in the
second approach we replace the factorizability relations with two weaker
relations. The solutions of symmetric bimatrix games with non-factorizable
probabilities are then analyzed and compared to the solution in the quantum
game. | | Source: | arXiv, 1409.4878 | | Services: | Forum | Review | PDF | Favorites | |
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