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Mixed-strategy equilibria and strong purification for games with private and public information

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  • Haifeng Fu

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  • Haifeng Fu, 2008. "Mixed-strategy equilibria and strong purification for games with private and public information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(3), pages 521-532, December.
    • Handle: RePEc:spr:joecth:v:37:y:2008:i:3:p:521-532
    DOI: 10.1007/s00199-007-0315-7
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    References listed on IDEAS

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    1. Khan, M. Ali & Rath, Kali P. & Sun, Yeneng, 1999. "On a private information game without pure strategy equilibria1," Journal of Mathematical Economics, Elsevier, vol. 31(3), pages 341-359, April.
    2. Khan, M. Ali & Yeneng, Sun, 1995. "Pure strategies in games with private information," Journal of Mathematical Economics, Elsevier, vol. 24(7), pages 633-653.
    3. M. Khan & Kali Rath & Yeneng Sun, 2006. "The Dvoretzky-Wald-Wolfowitz theorem and purification in atomless finite-action games," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(1), pages 91-104, April.
    4. Khan, M. Ali & Sun, Yeneng, 1999. "Non-cooperative games on hyperfinite Loeb spaces1," Journal of Mathematical Economics, Elsevier, vol. 31(4), pages 455-492, May.
    5. Fu, Haifeng & Sun, Yeneng & Yannelis, Nicholas C. & Zhang, Zhixiang, 2007. "Pure strategy equilibria in games with private and public information," Journal of Mathematical Economics, Elsevier, vol. 43(5), pages 523-531, June.
    6. Paul R. Milgrom & Robert J. Weber, 1985. "Distributional Strategies for Games with Incomplete Information," Mathematics of Operations Research, INFORMS, vol. 10(4), pages 619-632, November.
    7. Roy Radner & Robert W. Rosenthal, 1982. "Private Information and Pure-Strategy Equilibria," Mathematics of Operations Research, INFORMS, vol. 7(3), pages 401-409, August.
    8. Erik J. Balder, 1988. "Generalized Equilibrium Results for Games with Incomplete Information," Mathematics of Operations Research, INFORMS, vol. 13(2), pages 265-276, May.
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    Cited by:

    1. He, Wei & Sun, Xiang, 2014. "On the diffuseness of incomplete information game," Journal of Mathematical Economics, Elsevier, vol. 54(C), pages 131-137.
    2. M. Ali Khan & Yongchao Zhang, 2017. "Existence of pure-strategy equilibria in Bayesian games: a sharpened necessity result," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(1), pages 167-183, March.
    3. David Malueg, 2010. "Mixed-strategy equilibria in the Nash Demand Game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(2), pages 243-270, August.
    4. Stefano Barbieri & David Malueg, 2014. "Group efforts when performance is determined by the “best shot”," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(2), pages 333-373, June.
    5. Grant, Simon & Meneghel, Idione & Tourky, Rabee, 2016. "Savage games," Theoretical Economics, Econometric Society, vol. 11(2), May.
    6. Khan, M. Ali & Zhang, Yongchao, 2014. "On the existence of pure-strategy equilibria in games with private information: A complete characterization," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 197-202.
    7. Michael Greinecker & Konrad Podczeck, 2015. "Purification and roulette wheels," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(2), pages 255-272, February.

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    More about this item

    Keywords

    Games with private and public information; Mixed-strategy equilibrium; Strong purification; Pure-strategy equilibrium; C72;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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