A quantum approach to play asymmetric coordination games

1. Myerson, R.B.: Game Theory: Analysis of Conflict. Havard University Press, Boston (1991)

   MATH  Google Scholar 

2. Marinatto, L., Weber, T.: A quantum approach to static games of complete information. Phys. Lett. A 272, 291 (2000)

   Article  MathSciNet  ADS  MATH  Google Scholar 

3. Nawaz, A., Toor, A.H.: Dilemma and quantum battle of sexes. J. Phys. A: Math. Theor. 37, 4437 (2004)

   Article  MathSciNet  ADS  MATH  Google Scholar 

4. Fra̧ckiewicz, P.: The ultimate solution to the quantum battle of the sexes game. J. Phys. A: Math. Theor. 42, 365305 (2009)

   Article  MathSciNet  Google Scholar 

5. Alonso-Sanz, R.: On a three-parameter quantum battle of the sexes cellular automaton. Quant. Inf. Process. 12, 1835 (2013)

   Article  MathSciNet  ADS  MATH  Google Scholar 

6. Iqbal, A., Toor, A.H.: Quantum repeated games. Phys. Lett. A 300, 541 (2002)

   Article  MathSciNet  ADS  MATH  Google Scholar 

7. Fra̧ckiewicz, P.: Quantum repeated games revisited. J. Phys. A: Math. Theor. 45, 085307 (2012)

   Article  MathSciNet  ADS  Google Scholar 

8. Iqbal, A., Toor, A.H.: Quantum mechanics gives stability to a Nash equilibrium. Phys. Rev. A 65, 022306 (2002)

   Article  MathSciNet  ADS  Google Scholar 

9. Yu, T., Ben-Av, R.: Evolutionarily stable sets in quantum penny flip games. Quant. Inf. Process. 12, 2143 (2013)

   Article  MathSciNet  ADS  MATH  Google Scholar 

10. Iqbal, A., Toor, A.H.: Backwards-induction outcome in a quantum game. Phys. Rev. A 65, 052328 (2002)

    Article  MathSciNet  ADS  Google Scholar 

11. Chen, K.-Y., Hogg, T., Beausoleil, R.: A Quantum treatment of public goods economics. Quant. Inf. Process. 1, 449 (2002)

    Article  MathSciNet  Google Scholar 

12. Sekiguchi, Y., Sakahara, K., Sato, T.: Existence of equilibria in quantum Bertrand–Edgeworth duopoly game. Quant. Inf. Process. 11, 1371 (2012)

    Article  MathSciNet  ADS  MATH  Google Scholar 

13. Nawaz, A., Toor, A.H.: Quantum games with correlated noise. J. Phys. A: Math. Gen. 39, 9321 (2006)

    Article  MathSciNet  ADS  MATH  Google Scholar 

14. Nawaz, A.: Prisoners’ dilemma in the presence of collective dephasing. J. Phys. A: Math. Theor. 45, 195304 (2012)

    Article  MathSciNet  ADS  Google Scholar 

15. Chen, K.-Y., Hogg, T.: How well do people play a quantum prisoner’s dilemma? Quant. Inf. Process. 5, 43 (2006)

    Article  MathSciNet  MATH  Google Scholar 

16. Chen, K.-Y., Hogg, T.: Experiments with probabilistic quantum auctions. Quant. Inf. Process. 7, 139 (2008)

    Article  MATH  Google Scholar 

17. Benjamin, S.C.: Comment on “A quantum approach to static games of complete information”. Phys. Lett. A 277, 180 (2000)

    Article  MathSciNet  ADS  MATH  Google Scholar 

18. Eisert, J., Wilkens, M., Lewenstein, M.: Quantum games and quantum strategies. Phys. Rev. Lett. 83, 3077 (1999)

    Article  MathSciNet  ADS  MATH  Google Scholar 

19. Eisert, J., Wilkens, M.: Quantum games. J. Mod. Opt. 47, 2543 (2000)

    Article  MathSciNet  ADS  MATH  Google Scholar 

20. Marinatto, L., Weber, T.: Reply to “Comment on: A quantum approach to static games of complete information”. Phys. Lett. A 277, 183 (2000)

    Article  MathSciNet  ADS  MATH  Google Scholar 

21. Iqbal, A., Toor, A.H.: Quantum cooperative games. Phys. Lett. A 293, 103 (2002)

    Article  MathSciNet  ADS  MATH  Google Scholar 

22. Khan, S., Ramzan, M., Khan, M.: Quantum Stackelberg duopoly in the presence of correlated noise. J. Phys. A: Math. Theor. 43, 375301 (2010)

    Article  MathSciNet  Google Scholar 

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