Skip to main content
Log in

Quantum Stackelberg oligopoly

  • Published:
Quantum Information Processing Aims and scope Submit manuscript

Abstract

We have applied the “minimal” quantization scheme to investigate the quantization of the classical Stackelberg oligopoly. In particular, we have examined how the quantum entanglement affects the first-mover advantage in the Stackelberg game. It is found that the first-mover advantage can be destroyed and turn into a disadvantage under appropriate conditions. That is, the second-mover advantage can be realized in the quantum Stackelberg oligopoly. This surprising feature raises a challenging question to each of the players in the quantum game: “Should I move first or not?”

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1

Similar content being viewed by others

Data Availability Statement

All data generated or analysed during this study are included in this published article.

References

  1. Meyer, D.A.: Quantum strategies. Phys. Rev. Lett. 82(5), 1052 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  2. Eisert, J., Wilkens, M., Lewenstein, M.: Quantum games and quantum strategies. Phys. Rev. Lett. 83(15), 3077 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  3. Benjamin, S.C., Hayden, P.M.: Multiplayer quantum games. Phys. Rev. A 64, 030301 (2001)

    Article  ADS  Google Scholar 

  4. Chen, J.L., Kwek, L.C., Oh, C.H.: Noisy quantum game. Phys. Rev. A 65, 052320 (2002)

    Article  ADS  Google Scholar 

  5. Chen, K.Y., Hogg, T., Beausoleil, R.: A quantum treatment of public goods economics. Quantum Inf. Proc. 1(6), 449 (2002)

    Article  MathSciNet  Google Scholar 

  6. Chen, L.K., Ang, H., Kiang, D., Kwek, L.C., Lo, C.F.: Quantum prisoner dilemma under decoherence. Phys. Lett. A 316, 317 (2003)

    Article  ADS  Google Scholar 

  7. Li, H., Du, J., Massar, S.: Continuous-variable Quantum Games. Phys. Lett. A 306, 73 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  8. Obsborne, M.J., Rubinstein, A.: A course in Game theory. The MIT Press, U.S.A. (1994)

    Google Scholar 

  9. Lo, C.F., Kiang, D.: Quantum Oligopoly. Europhys. Lett. 64(5), 592 (2003)

    Article  ADS  Google Scholar 

  10. Lo, C.F., Kiang, D.: Quantum Stackelberg Duopoly. Phys. Lett. A 318, 333 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  11. Lo, C.F., Kiang, D.: Quantum Stackelberg Duopoly with Incomplete Information. Phys. Lett. A 346, 65 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  12. Lo, C.F., Kiang, D.: Quantum Bertrand Duopoly with Differentiated Products. Phys. Lett. A 321, 94 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  13. Lo, C.F., Kiang, D.: To Move First or Not to Move First? Quantum Inf. Process. 18, 335 (2019)

    Article  ADS  MathSciNet  Google Scholar 

  14. See, for example, Khan, F.S., Solmeyer, N., Balu, R., & Humble, T.S.: Quantum Games: a Review of the History, Current State, and Interpretation , Quantum Inf. Process. 17 , 309 (2018); R. Alonso-Sanz, Quantum Game Simulation (Springer, Switzerland, 2019)

  15. Lo, C.F., Yeung, C.F.: Quantum Stackelberg-Bertrand duopoly. Quantum Inf. Process. 19, 373 (2020)

    Article  ADS  MathSciNet  Google Scholar 

  16. Gibbons, R.: Game Theory for Applied Economists. Princeton University Press, U.S.A. (1992)

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lo, C.F., Yeung, C.F. Quantum Stackelberg oligopoly. Quantum Inf Process 21, 85 (2022). https://doi.org/10.1007/s11128-022-03423-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11128-022-03423-x

Keywords

Navigation