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A Note on the Concept of Time in Extensive Games

Author

Listed:
  • Shravan Luckraz

    (School of Public Finance and Taxation, Zhejiang University of Finance and Economics, Hangzhou 310018, China
    These authors contributed equally to this work.)

  • Bruno Antonio Pansera

    (Department of Law, Economics and Human Sciences & Decisions Lab, University Mediterranea of Reggio Calabria, I-89124 Reggio Calabria, Italy
    These authors contributed equally to this work.)

Abstract

Using the concept of informational digraphs, we propose a “no redundant information sets” property that can characterize the exact class of extensive games which can be time structured. Our result can be applied to define time-dependent solution concepts like the Open-Loop and the Closed-Loop Nash Equilibrium in extensive games with imperfect information.

Suggested Citation

  • Shravan Luckraz & Bruno Antonio Pansera, 2022. "A Note on the Concept of Time in Extensive Games," Mathematics, MDPI, vol. 10(8), pages 1-4, April.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:8:p:1212-:d:789040
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    References listed on IDEAS

    as
    1. Piccione, Michele & Rubinstein, Ariel, 1997. "On the Interpretation of Decision Problems with Imperfect Recall," Games and Economic Behavior, Elsevier, vol. 20(1), pages 3-24, July.
    2. J. Jude Kline & Shravan Luckraz, 2016. "Equivalence between graph-based and sequence-based extensive form games," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(1), pages 85-94, April.
    3. Bernhard von Stengel & Françoise Forges, 2008. "Extensive-Form Correlated Equilibrium: Definition and Computational Complexity," Mathematics of Operations Research, INFORMS, vol. 33(4), pages 1002-1022, November.
    4. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, December.
    5. Aumann, Robert J. & Hart, Sergiu & Perry, Motty, 1997. "The Absent-Minded Driver," Games and Economic Behavior, Elsevier, vol. 20(1), pages 102-116, July.
    6. Hansen, Kristoffer Arnsfelt & Ibsen-Jensen, Rasmus & Neyman, Abraham, 2021. "Absorbing games with a clock and two bits of memory," Games and Economic Behavior, Elsevier, vol. 128(C), pages 213-230.
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    Cited by:

    1. Bruno Antonio Pansera & Massimiliano Ferrara & Luca Guerrini & Tiziana Ciano, 2023. "Preface to the Special Issue on “Differential Games and Its Applications”," Mathematics, MDPI, vol. 11(13), pages 1-4, July.

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