IDEAS home Printed from https://ideas.repec.org/a/wsi/igtrxx/v15y2013i04ns0219198913400306.html
   My bibliography  Save this article

The Power Of Knowledge In Games

Author

Listed:
  • ROHIT PARIKH

    (Doctoral Program in Computer Science, Graduate Center of the City University of New York, USA;
    Brooklyn College of the City University of New York, USA;
    Graduate Center of the City University of New York, 365 Fifth Avenue New York, NY 10016, USA)

  • ÇAĞIL TAŞDEMİR

    (Graduate Center of the City University of New York, 365 Fifth Avenue New York, NY 10016, USA)

  • ANDREAS WITZEL

    (Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street New York, NY 10012, USA)

Abstract

We propose a theory of the interaction between knowledge and games. Epistemic game theory is of course a well-developed subject but there is also a need for a theory of how some agents canaffectthe outcome of a game by affecting the knowledge which other agents have and thereby affecting their actions. We concentrate on games of incomplete or imperfect information, and study how conservative, moderate, or aggressive players might play such games. We provide models for the behavior of a knowledge manipulator who seeks to manipulate the knowledge states of active players in order to affect their moves and to maximize her own payoff even while she herself remains inactive, except for influencing the states of knowledge of the other players.

Suggested Citation

  • Rohit Parikh & Çağil Taşdemi̇r & Andreas Witzel, 2013. "The Power Of Knowledge In Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 15(04), pages 1-28.
    • Handle: RePEc:wsi:igtrxx:v:15:y:2013:i:04:n:s0219198913400306
    DOI: 10.1142/S0219198913400306
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0219198913400306
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0219198913400306?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. Perea,Andrés, 2012. "Epistemic Game Theory," Cambridge Books, Cambridge University Press, number 9781107401396.
    2. Perea,Andrés, 2012. "Epistemic Game Theory," Cambridge Books, Cambridge University Press, number 9781107008915.
    Full references (including those not matched with items on IDEAS)

    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. Andrés Perea & Elias Tsakas, 2019. "Limited focus in dynamic games," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(2), pages 571-607, June.
    2. Larbi Alaoui & Antonio Penta, 2018. "Cost-benefit analysis in reasoning," Economics Working Papers 1621, Department of Economics and Business, Universitat Pompeu Fabra.
    3. Battigalli, Pierpaolo & Leonetti, Paolo & Maccheroni, Fabio, 2020. "Behavioral equivalence of extensive game structures," Games and Economic Behavior, Elsevier, vol. 121(C), pages 533-547.
    4. Sanjit Dhami & Emma Manifold & Ali al‐Nowaihi, 2021. "Identity and Redistribution: Theory and Evidence," Economica, London School of Economics and Political Science, vol. 88(350), pages 499-531, April.
    5. Pierfrancesco Guarino & Gabriel Ziegler, 2022. "Strategic Behavior under Context Misalignment," Papers 2205.00564, arXiv.org.
    6. Tsakas, Elias, 2014. "Epistemic equivalence of extended belief hierarchies," Games and Economic Behavior, Elsevier, vol. 86(C), pages 126-144.
    7. Bonanno, Giacomo, 2013. "A dynamic epistemic characterization of backward induction without counterfactuals," Games and Economic Behavior, Elsevier, vol. 78(C), pages 31-43.
    8. Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C., 2019. "Comprehensive rationalizability," Games and Economic Behavior, Elsevier, vol. 116(C), pages 185-202.
    9. Joseph Y. Halpern & Yoram Moses, 2017. "Characterizing solution concepts in terms of common knowledge of rationality," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(2), pages 457-473, May.
    10. Geir B. Asheim & Andrés Perea, 2019. "Algorithms for cautious reasoning in games," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(4), pages 1241-1275, December.
    11. Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C., 2013. "Dynamic unawareness and rationalizable behavior," Games and Economic Behavior, Elsevier, vol. 81(C), pages 50-68.
    12. Guilhem Lecouteux, 2018. "Bayesian game theorists and non-Bayesian players," The European Journal of the History of Economic Thought, Taylor & Francis Journals, vol. 25(6), pages 1420-1454, November.
    13. Shuige Liu, 2018. "Characterizing Assumption of Rationality by Incomplete Information," Papers 1801.04714, arXiv.org.
    14. Shuige Liu, 2018. "Knowledge and Unanimous Acceptance of Core Payoffs: An Epistemic Foundation for Cooperative Game Theory," Papers 1802.04595, arXiv.org, revised Jan 2019.
    15. Lorenzo Bastianello & Mehmet S. Ismail, 2022. "Rationality and correctness in n-player games," Papers 2209.09847, arXiv.org, revised Dec 2023.
    16. Jean-Pierre Corriou, 2021. "Dynamic Optimization," Springer Optimization and Its Applications, in: Numerical Methods and Optimization, chapter 0, pages 653-708, Springer.
    17. Tsakas, E., 2012. "Rational belief hierarchies," Research Memorandum 004, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    18. Shuige Liu, 2018. "Ordered Kripke Model, Permissibility, and Convergence of Probabilistic Kripke Model," Papers 1801.08767, arXiv.org.
    19. Perea, Andrés & Roy, Souvik, 2017. "A new epistemic characterization of ε-proper rationalizability," Games and Economic Behavior, Elsevier, vol. 104(C), pages 309-328.
    20. Francois, Joseph & Bekkers, Eddy & Nelson, Doug R & Rojas-Romagosa, Hugo, 2019. "Trade Wars: Nobody Expects the Spanish Inquisition," CEPR Discussion Papers 14079, C.E.P.R. Discussion Papers.

    More about this item

    Keywords

    Knowledge; games; manipulation; 91A28;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

    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:wsi:igtrxx:v:15:y:2013:i:04:n:s0219198913400306. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/igtr/igtr.shtml .

    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.