The Application of Asymmetric Entangled States in Quantum Game
arXiv:quant-ph/0511152 · doi:10.1016/j.physleta.2006.03.011
Abstract
In the present letter, we propose a more general entangling operator to the quantization of Cournot economic model, in which players can access to a continuous set of strategies. By analyzing the relation between the von Neumann entropy of the entangled state and the total profit of two players precisely, we find that the total profit at the Nash equilibrium always achieves its maximal value as long as the entropy tends to infinity. Moreover, since the asymmetry is introduced in the entangled state, the quantum model shows some kind of "encouraging" and "suppressing" effect in profit functions of different players.
6 pages, 5 figures
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Cited by in corpus (5)
- On subgame perfect equilibria in quantum Stackelberg duopoly with incompete information
- Simulation of continuous variable quantum games without entanglement
- Quantum Cournot model based on general entanglement operator
- Quantum approach to Bertrand duopoly
- Competition of different evaluation schemes in the continuous variable game