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Comparison of information structures in zero-sum games

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  • Peski, Marcin

Abstract

This note provides simple necessary and sufficient conditions for the comparison of information structures in zero-sum games. This solves an open problem of Grossner and Mertens [Gossner, O., Mertens, J.-F., 2001. The value of information in zero-sum games. http://ogossner.free.fr/Articles/abstract.pdf]. The conditions are phrased in terms of Blackwell garbling of information of each of the players.

Suggested Citation

  • Peski, Marcin, 2008. "Comparison of information structures in zero-sum games," Games and Economic Behavior, Elsevier, vol. 62(2), pages 732-735, March.
    • Handle: RePEc:eee:gamebe:v:62:y:2008:i:2:p:732-735
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    Citations

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    Cited by:

    1. Elie Appelbaum & Mark Melatos, 2014. "Option Values and the Choice of Trade Agreements," Working Papers 2014_1, York University, Department of Economics.
    2. Bergemann, Dirk & Morris, Stephen, 2016. "Bayes correlated equilibrium and the comparison of information structures in games," Theoretical Economics, Econometric Society, vol. 11(2), May.
    3. Taneva, Ina A, 2015. "Information Design," SIRE Discussion Papers 2015-50, Scottish Institute for Research in Economics (SIRE).
    4. Cheng, Jianqiang & Leung, Janny & Lisser, Abdel, 2016. "Random-payoff two-person zero-sum game with joint chance constraints," European Journal of Operational Research, Elsevier, vol. 252(1), pages 213-219.
    5. Elie Appelbaum & Mark Melatos, 2016. "How Can Uncertainty Affect the Choice of Trade Agreements?," The Economic Record, The Economic Society of Australia, vol. 92(297), pages 153-172, June.
    6. Appelbaum, Elie & Melatos, Mark, 2021. "Preferential Trade Agreements as Insurance," Working Papers 2021-04, University of Sydney, School of Economics.
    7. Dirk Bergemann & Benjamin Brooks & Stephen Morris, 2022. "Counterfactuals with Latent Information," American Economic Review, American Economic Association, vol. 112(1), pages 343-368, January.
    8. Dughmi, Shaddin, 2019. "On the hardness of designing public signals," Games and Economic Behavior, Elsevier, vol. 118(C), pages 609-625.
    9. Taneva, Ina A, 2015. "Information Design," 2007 Annual Meeting, July 29-August 1, 2007, Portland, Oregon TN 2015-50, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    10. Ina Taneva, 2019. "Information Design," American Economic Journal: Microeconomics, American Economic Association, vol. 11(4), pages 151-185, November.
    11. Fabien Gensbittel & Marcin Peski & Jérôme Renault, 2019. "The Large Space Of Information Structures," Working Papers hal-02075905, HAL.
    12. Jiuping Xu & Liming Yao, 2010. "A Class of Two-Person Zero-Sum Matrix Games with Rough Payoffs," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2010, pages 1-22, April.
    13. Andrew Kosenko, 2021. "Algebraic Properties of Blackwell's Order and A Cardinal Measure of Informativeness," Papers 2110.11399, arXiv.org.
    14. Lehrer, Ehud & Rosenberg, Dinah & Shmaya, Eran, 2013. "Garbling of signals and outcome equivalence," Games and Economic Behavior, Elsevier, vol. 81(C), pages 179-191.

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