IDEAS home Printed from https://ideas.repec.org/p/ags/uwarer/269784.html
   My bibliography  Save this paper

Beyond Normal Form Invariance: First Mover Advantage in Two-Stage Games with or without Predictable Cheap Talk

Author

Listed:
  • Hammond, Peter J.

Abstract

Von Neumann (1928) not only introduced a fairly general version of the extensive form game concept. He also hypothesized that only the normal form was relevant to rational play. Yet even in Battle of the Sexes, this hypothesis seems contradicted by players’ actual behaviour in experiments. Here a refined Nash equilibrium is proposed for games where one player moves first, and the only other player moves second without knowing the first move. The refinement relies on a tacit understanding of the only credible and straightforward perfect Bayesian equilibrium in a corresponding game allowing a predictable direct form of cheap talk.

Suggested Citation

  • Hammond, Peter J., 2008. "Beyond Normal Form Invariance: First Mover Advantage in Two-Stage Games with or without Predictable Cheap Talk," Economic Research Papers 269784, University of Warwick - Department of Economics.
  • Handle: RePEc:ags:uwarer:269784
    DOI: 10.22004/ag.econ.269784
    as

    Download full text from publisher

    File URL: https://ageconsearch.umn.edu/record/269784/files/twerp_835.pdf
    Download Restriction: no

    File URL: https://ageconsearch.umn.edu/record/269784/files/twerp_835.pdf?subformat=pdfa
    Download Restriction: no

    File URL: https://libkey.io/10.22004/ag.econ.269784?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
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Battigalli, Pierpaolo & Siniscalchi, Marciano, 2002. "Strong Belief and Forward Induction Reasoning," Journal of Economic Theory, Elsevier, vol. 106(2), pages 356-391, October.
    2. Aumann, Robert J, 1987. "Correlated Equilibrium as an Expression of Bayesian Rationality," Econometrica, Econometric Society, vol. 55(1), pages 1-18, January.
    3. R. Muller & Asha Sadanand, 2003. "Order of Play, Forward Induction, and Presentation Effects in Two-Person Games," Experimental Economics, Springer;Economic Science Association, vol. 6(1), pages 5-25, June.
    4. Kreps, David M., 1990. "Game Theory and Economic Modelling," OUP Catalogue, Oxford University Press, number 9780198283812.
    5. Geir B. Asheim & Martin Dufwenberg, 2003. "Deductive Reasoning in Extensive Games," Economic Journal, Royal Economic Society, vol. 113(487), pages 305-325, April.
    6. Guth, Werner & Huck, Steffen & Rapoport, Amnon, 1998. "The limitations of the positional order effect: Can it support silent threats and non-equilibrium behavior?," Journal of Economic Behavior & Organization, Elsevier, vol. 34(2), pages 313-325, February.
    7. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-1050, July.
    8. Amershi, A.H. & Sadanand, A.B. & Sadanand, V., 1989. "Manipulated Nash Equilibria - I: Forward Induction And Thought Process Dynamics In Extensive Form," Working Papers 1989-4, University of Guelph, Department of Economics and Finance.
    9. Battigalli, Pierpaolo & Siniscalchi, Marciano, 1999. "Hierarchies of Conditional Beliefs and Interactive Epistemology in Dynamic Games," Journal of Economic Theory, Elsevier, vol. 88(1), pages 188-230, September.
    10. Amershi, A.H. & Sadanand, A.B. & Sadanand, V., 1989. "Manipulated Nash Equilibria - Ii: Some Properties," Working Papers 1989-5, University of Guelph, Department of Economics and Finance.
    11. Sadanand, Asha B & Sadanand, Venkatraman, 1995. "Equilibria in Non-cooperative Games II: Deviations Based Refinements of Nash Equilibrium," Bulletin of Economic Research, Wiley Blackwell, vol. 47(2), pages 93-113, April.
    12. Amershi, A.H. & Sadanand, A.B. & Sadanand, V., 1989. "Manipulated Nash Equilibria - Iii: Applications And A Preliminary Experiment," Working Papers 1989-6, University of Guelph, Department of Economics and Finance.
    13. Amershi Amin H. & Sadanand Asha & Sadanand Venkatraman, 1992. "Player importance and forward induction," Economics Letters, Elsevier, vol. 38(3), pages 291-297, March.
    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. Asha Sadanand, 2019. "Ideal Reactive Equilibrium," Games, MDPI, vol. 10(2), pages 1-18, April.

    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. R. Muller & Asha Sadanand, 2003. "Order of Play, Forward Induction, and Presentation Effects in Two-Person Games," Experimental Economics, Springer;Economic Science Association, vol. 6(1), pages 5-25, June.
    2. Asha Sadanand, 2019. "Ideal Reactive Equilibrium," Games, MDPI, vol. 10(2), pages 1-18, April.
    3. Huck, Steffen & Muller, Wieland, 2005. "Burning money and (pseudo) first-mover advantages: an experimental study on forward induction," Games and Economic Behavior, Elsevier, vol. 51(1), pages 109-127, April.
    4. Amanda Friedenberg, 2006. "Can Hidden Variables Explain Correlation? (joint with Adam Brandenburger)," Theory workshop papers 815595000000000005, UCLA Department of Economics.
    5. Feinberg, Yossi, 2005. "Subjective reasoning--dynamic games," Games and Economic Behavior, Elsevier, vol. 52(1), pages 54-93, July.
    6. Dekel, Eddie & Siniscalchi, Marciano, 2015. "Epistemic Game Theory," Handbook of Game Theory with Economic Applications,, Elsevier.
    7. Oliver Board, 2002. "Algorithmic Characterization of Rationalizability in Extensive Form Games," Working Paper 244, Department of Economics, University of Pittsburgh, revised Jan 2002.
    8. Catonini, Emiliano, 2019. "Rationalizability and epistemic priority orderings," Games and Economic Behavior, Elsevier, vol. 114(C), pages 101-117.
    9. 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.
    10. Fukuda, Satoshi, 2024. "The existence of universal qualitative belief spaces," Journal of Economic Theory, Elsevier, vol. 216(C).
    11. 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.
    12. Pierpaolo Battigalli & Alfredo Di Tillio & Dov Samet, 2011. "Strategies and interactive beliefs in dynamic games," Working Papers 375, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    13. , & , & ,, 2007. "Interim correlated rationalizability," Theoretical Economics, Econometric Society, vol. 2(1), pages 15-40, March.
    14. Battigalli Pierpaolo & Di Tillio Alfredo & Grillo Edoardo & Penta Antonio, 2011. "Interactive Epistemology and Solution Concepts for Games with Asymmetric Information," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 11(1), pages 1-40, March.
    15. Asheim, Geir B. & Dufwenberg, Martin, 2003. "Admissibility and common belief," Games and Economic Behavior, Elsevier, vol. 42(2), pages 208-234, February.
    16. Tsakas, Elias, 2014. "Epistemic equivalence of extended belief hierarchies," Games and Economic Behavior, Elsevier, vol. 86(C), pages 126-144.
    17. Roberto Weber & Colin Camerer & Marc Knez, 2004. "Timing and Virtual Observability in Ultimatum Bargaining and “Weak Link” Coordination Games," Experimental Economics, Springer;Economic Science Association, vol. 7(1), pages 25-48, February.
    18. 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.
    19. Dufwenberg, Martin & Köhlin, Gunnar & Martinsson, Peter & Medhin, Haileselassie, 2016. "Thanks but no thanks: A new policy to reduce land conflict," Journal of Environmental Economics and Management, Elsevier, vol. 77(C), pages 31-50.
    20. Ziegler, Gabriel & Zuazo-Garin, Peio, 2020. "Strategic cautiousness as an expression of robustness to ambiguity," Games and Economic Behavior, Elsevier, vol. 119(C), pages 197-215.

    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:ags:uwarer:269784. 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: AgEcon Search (email available below). General contact details of provider: https://warwick.ac.uk/fac/soc/economics/research/workingpapers/ .

    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.