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Large Distributional Games with Traits

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  • M. Ali Khan

    (Department of Economics, Johns Hopkins University)

  • Kali P. Rath

    (Department of Economics, University of Notre Dame)

  • Haomiao Yu

    ()
    (Department of Economics, Ryerson University)

  • Yongchao Zhang

    (School of Economics, Shanghai University of Finance and Economics)

Abstract

A comprehensive theory of large strategic games with (socioeconomic and biological) traits (LSGT) has recently been presented in Khan et al. (2012 a and b), and in this paper, we present a reformulation pertaining to large distributional games with traits (LDGT). In addition to a generalization of work initiated and advocated by Mas-Colell (1984), we delineate the role of saturated spaces, as studied in Keisler-Sun (2009) in the reformulated theory, and consider questions pertaining to \lq\lq realizations" of equilibrium distributions that were not previously asked.

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Bibliographic Info

Paper provided by Ryerson University, Department of Economics in its series Working Papers with number 037.

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Date of creation: Dec 2012
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Handle: RePEc:rye:wpaper:wp037

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Keywords: Large game; strategic game; distributional game; traits; saturated probability space; realization; Nash equilibrium distribution;

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  1. Rath, Kali P., 1996. "Existence and upper hemicontinuity of equilibrium distributions of anonymous games with discontinuous payoffs," Journal of Mathematical Economics, Elsevier, vol. 26(3), pages 305-324.
  2. M Ali Khan & Yeneng Sun, 1996. "Non-Cooperative Games with Many Players," Economics Working Paper Archive 382, The Johns Hopkins University,Department of Economics.
  3. Noguchi, Mitsunori, 2009. "Existence of Nash equilibria in large games," Journal of Mathematical Economics, Elsevier, vol. 45(1-2), pages 168-184, January.
  4. Mas-Colell, Andreu, 1984. "On a theorem of Schmeidler," Journal of Mathematical Economics, Elsevier, vol. 13(3), pages 201-206, December.
  5. Brock,W.A. & Durlauf,S.N., 2000. "Discrete choice with social interactions," Working papers 7, Wisconsin Madison - Social Systems.
  6. George A. Akerlof & Rachel E. Kranton, 2002. "Identity and Schooling: Some Lessons for the Economics of Education," Journal of Economic Literature, American Economic Association, vol. 40(4), pages 1167-1201, December.
  7. George A. Akerlof & Rachel E. Kranton, 2000. "Economics And Identity," The Quarterly Journal of Economics, MIT Press, vol. 115(3), pages 715-753, August.
  8. Blume, Lawrence E. & Brock, William A. & Durlauf, Steven N. & Ioannides, Yannis M., 2010. "Identification of Social Interactions," Economics Series 260, Institute for Advanced Studies.
  9. M. Ali Khan & Kali P. Rath & Yeneng Sun & Haomiao Yu, 2011. "On Large Games with a Bio-Social Typology," Economics Working Paper Archive 585, The Johns Hopkins University,Department of Economics.
  10. M. Ali Khan & Kali P. Rath & Yeneng Sun & Haomiao Yu, 2012. "Large Games with a Bio-Social Typology," Working Papers 035, Ryerson University, Department of Economics.
  11. Khan, M. Ali & Yeneng, Sun, 1995. "Pure strategies in games with private information," Journal of Mathematical Economics, Elsevier, vol. 24(7), pages 633-653.
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