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

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  • Hammond, Peter J.

    (Department of Economics, University of Warwick)

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," The Warwick Economics Research Paper Series (TWERPS) 835, University of Warwick, Department of Economics.
    • Handle: RePEc:wrk:warwec:835
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    References listed on IDEAS

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    1. 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.
    2. Aumann, Robert J, 1987. "Correlated Equilibrium as an Expression of Bayesian Rationality," Econometrica, Econometric Society, vol. 55(1), pages 1-18, January.
    3. Amershi Amin H. & Sadanand Asha & Sadanand Venkatraman, 1992. "Player importance and forward induction," Economics Letters, Elsevier, vol. 38(3), pages 291-297, March.
    4. 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.
    5. 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.
    6. Geir B. Asheim & Martin Dufwenberg, 2003. "Deductive Reasoning in Extensive Games," Economic Journal, Royal Economic Society, vol. 113(487), pages 305-325, April.
    7. 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.
    8. 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.
    9. Kreps, David M., 1990. "Game Theory and Economic Modelling," OUP Catalogue, Oxford University Press, number 9780198283812, Decembrie.
    10. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-1050, July.
    11. 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.
    12. Battigalli, Pierpaolo & Siniscalchi, Marciano, 2002. "Strong Belief and Forward Induction Reasoning," Journal of Economic Theory, Elsevier, vol. 106(2), pages 356-391, October.
    13. 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.
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