IDEAS home Printed from https://ideas.repec.org/a/spr/eurphb/v89y2016i7d10.1140_epjb_e2016-70052-4.html
   My bibliography  Save this article

A quantum extension to inspection game

Author

Listed:
  • Xinyang Deng

    (School of Computer and Information Science, Southwest University
    Center for Quantitative Sciences, Vanderbilt University Medical Center)

  • Yong Deng

    (School of Computer and Information Science, Southwest University
    Institute of Integrated Automation, School of Electronic and Information Engineering, Xi’an Jiaotong University
    Big Data Decision Institute, Jinan University)

  • Qi Liu

    (Center for Quantitative Sciences, Vanderbilt University Medical Center
    Vanderbilt University Medical Center)

  • Shuhua Chang

    (Research Center for Mathematics and Economics, Tianjin University of Finance and Economics)

  • Zhen Wang

    (Interdisciplinary Graduate School of Engineering Sciences, Kyushu University)

Abstract

Quantum game theory is a new interdisciplinary field between game theory and system engineering research. In this paper, we extend the classical inspection game into a quantum game version by quantizing the strategy space and importing entanglement between players. Our results show that the quantum inspection game has various Nash equilibria depending on the initial quantum state of the game. It is also shown that quantization can respectively help each player to increase his own payoff, yet fails to bring Pareto improvement for the collective payoff in the quantum inspection game.

Suggested Citation

  • Xinyang Deng & Yong Deng & Qi Liu & Shuhua Chang & Zhen Wang, 2016. "A quantum extension to inspection game," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(7), pages 1-7, July.
    • Handle: RePEc:spr:eurphb:v:89:y:2016:i:7:d:10.1140_epjb_e2016-70052-4
    DOI: 10.1140/epjb/e2016-70052-4
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1140/epjb/e2016-70052-4
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1140/epjb/e2016-70052-4?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Dong, Yukun & Xu, Hedong & Fan, Suohai, 2019. "Memory-based stag hunt game on regular lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 519(C), pages 247-255.
    2. Samadi, Ali Hussein & Montakhab, Afshin & Marzban, Hussein & Owjimehr, Sakine, 2018. "Quantum Barro–Gordon game in monetary economics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 489(C), pages 94-101.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Janvier D. Nkurunziza, 2005. "Reputation and Credit without Collateral in Africa`s Formal Banking," Economics Series Working Papers WPS/2005-02, University of Oxford, Department of Economics.
    2. Sandy Fréret & Denis Maguain, 2017. "The effects of agglomeration on tax competition: evidence from a two-regime spatial panel model on French data," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 24(6), pages 1100-1140, December.
    3. Carlo Rosa & Giovanni Verga, 2006. "The Impact of Central Bank Announcements on Asset Prices in Real Time: Testing the Efficiency of the Euribor Futures Market," CEP Discussion Papers dp0764, Centre for Economic Performance, LSE.
    4. Marco Bassetto, 2002. "A Game-Theoretic View of the Fiscal Theory of the Price Level," Econometrica, Econometric Society, vol. 70(6), pages 2167-2195, November.
    5. Arthur Schram & Boris Van Leeuwen & Theo Offerman, 2013. "Superstars Need Social Benefits: An Experiment on Network Formation," Working Papers 1306, Departament Empresa, Universitat Autònoma de Barcelona, revised Jul 2013.
    6. Patrick W. Schmitz, 2006. "Book Review," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 162(3), pages 535-542, September.
    7. Celik, Gorkem, 2006. "Mechanism design with weaker incentive compatibility constraints," Games and Economic Behavior, Elsevier, vol. 56(1), pages 37-44, July.
    8. Régis Chenavaz & Corina Paraschiv & Gabriel Turinici, 2017. "Dynamic Pricing of New Products in Competitive Markets: A Mean-Field Game Approach," Working Papers hal-01592958, HAL.
    9. Christoph Engel, 2006. "The Difficult Reception of Rigorous Descriptive Social Science in the Law," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2006_1, Max Planck Institute for Research on Collective Goods.
    10. Boone, J., 2003. "Optimal Competition : A Benchmark for Competition Policy," Discussion Paper 2003-3, Tilburg University, Center for Economic Research.
    11. Cantillo, Miguel & Wright, Julian, 2000. "How Do Firms Choose Their Lenders? An Empirical Investigation," The Review of Financial Studies, Society for Financial Studies, vol. 13(1), pages 155-189.
    12. Pierpaolo Battigalli, 2006. "Rationalization In Signaling Games: Theory And Applications," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 8(01), pages 67-93.
    13. Horn, Henrik & Tangerås, Thomas, 2016. "Economics and Politics of International Investment Agreements," Working Paper Series 1140, Research Institute of Industrial Economics.
    14. Benchekroun, Hassan & van Long, Ngo, 1998. "Efficiency inducing taxation for polluting oligopolists," Journal of Public Economics, Elsevier, vol. 70(2), pages 325-342, November.
    15. Matthias Greiff & Fabian Paetzel, 2012. "The Importance of Knowing Your Own Reputation," MAGKS Papers on Economics 201236, Philipps-Universität Marburg, Faculty of Business Administration and Economics, Department of Economics (Volkswirtschaftliche Abteilung).
    16. Bernheim, B Douglas, 1994. "A Theory of Conformity," Journal of Political Economy, University of Chicago Press, vol. 102(5), pages 841-877, October.
    17. Johannes Urpelainen, 2011. "Frontrunners and Laggards: The Strategy of Environmental Regulation under Uncertainty," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 50(3), pages 325-346, November.
    18. William H. Sandholm, 2005. "Negative Externalities and Evolutionary Implementation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(3), pages 885-915.
    19. Schweizer, Nikolaus & Szech, Nora, 2015. "A quantitative version of Myerson regularity," Working Paper Series in Economics 76, Karlsruhe Institute of Technology (KIT), Department of Economics and Management.
    20. Stefan Ambec & Michel Poitevin, 2016. "Decision-making in organizations: when to delegate and whom to delegate," Review of Economic Design, Springer;Society for Economic Design, vol. 20(2), pages 115-143, June.

    More about this item

    Keywords

    Statistical and Nonlinear Physics;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:eurphb:v:89:y:2016:i:7:d:10.1140_epjb_e2016-70052-4. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.