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Non-cooperative games on hyperfinite Loeb spaces1

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  • Khan, M. Ali
  • Sun, Yeneng

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  • 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.
    • Handle: RePEc:eee:mateco:v:31:y:1999:i:4:p:455-492
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    References listed on IDEAS

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    1. Khan, M. Ali & Yeneng, Sun, 1995. "Pure strategies in games with private information," Journal of Mathematical Economics, Elsevier, vol. 24(7), pages 633-653.
    2. Pradeep Dubey & Lloyd S. Shapley, 1977. "Noncooperative Exchange with a Continuum of Traders," Cowles Foundation Discussion Papers 447, Cowles Foundation for Research in Economics, Yale University.
    3. J. W. Milnor & L. S. Shapley, 1978. "Values of Large Games II: Oceanic Games," Mathematics of Operations Research, INFORMS, vol. 3(4), pages 290-307, November.
    4. SCHMEIDLER, David, 1973. "Equilibrium points of nonatomic games," LIDAM Reprints CORE 146, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. N. Z. Shapiro & L. S. Shapley, 1978. "Values of Large Games, I: A Limit Theorem," Mathematics of Operations Research, INFORMS, vol. 3(1), pages 1-9, February.
    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. Rashid, Salim, 1985. "The approximate purification of mixed strategies with finite observation sets," Economics Letters, Elsevier, vol. 19(2), pages 133-135.
    8. Rath, Kali P, 1992. "A Direct Proof of the Existence of Pure Strategy Equilibria in Games with a Continuum of Players," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(3), pages 427-433, July.
    9. Meister, Helmut, 1987. "On the existence of approximate equilibrium in pure strategies for a game with incomplete information," Mathematical Social Sciences, Elsevier, vol. 13(2), pages 129-139, April.
    10. Brown, Donald J. & Robinson, Abraham, 1974. "The cores of large standard exchange economies," Journal of Economic Theory, Elsevier, vol. 9(3), pages 245-254, November.
    11. Khan, M. Ali & Rath, Kali P. & Sun, Yeneng, 1997. "On the Existence of Pure Strategy Equilibria in Games with a Continuum of Players," Journal of Economic Theory, Elsevier, vol. 76(1), pages 13-46, September.
    12. Rath, Kali P. & Yeneng Sun & Shinji Yamashige, 1995. "The nonexistence of symmetric equilibria in anonymous games with compact action spaces," Journal of Mathematical Economics, Elsevier, vol. 24(4), pages 331-346.
    13. Dubey, Pradeep & Shapley, Lloyd S., 1994. "Noncooperative general exchange with a continuum of traders: Two models," Journal of Mathematical Economics, Elsevier, vol. 23(3), pages 253-293, May.
    14. Kim, Sung H., 1997. "Continuous Nash equilibria," Journal of Mathematical Economics, Elsevier, vol. 28(1), pages 69-84, August.
    15. Mas-Colell, Andreu, 1984. "On a theorem of Schmeidler," Journal of Mathematical Economics, Elsevier, vol. 13(3), pages 201-206, December.
    16. KHAN , M. Ali & SUN, Yeneng, 1997. "On Loeb measures spaces and their significance for non-cooperative game theory," LIDAM Discussion Papers CORE 1997012, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    17. Rui Pascoa, Mario, 1993. "Approximate equilibrium in pure strategies for non-atomic games," Journal of Mathematical Economics, Elsevier, vol. 22(3), pages 223-241.
    18. M. Ali Khan & Yeneng Sun, 1996. "Integrals of Set-Valued Functions with a Countable Range," Mathematics of Operations Research, INFORMS, vol. 21(4), pages 946-954, November.
    19. HILDENBRAND, Werner, 1970. "On economies with many agents," LIDAM Reprints CORE 61, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    20. John W. Mamer & Kenneth E. Schilling, 1986. "A Zero-Sum Game with Incomplete Information and Compact Action Spaces," Mathematics of Operations Research, INFORMS, vol. 11(4), pages 627-631, November.
    21. Hildenbrand, Werner, 1970. "On economies with many agents," Journal of Economic Theory, Elsevier, vol. 2(2), pages 161-188, June.
    22. Roy Radner & Robert W. Rosenthal, 1982. "Private Information and Pure-Strategy Equilibria," Mathematics of Operations Research, INFORMS, vol. 7(3), pages 401-409, August.
    23. Erik J. Balder, 1988. "Generalized Equilibrium Results for Games with Incomplete Information," Mathematics of Operations Research, INFORMS, vol. 13(2), pages 265-276, May.
    24. Emmons, David W., 1984. "Existence of Lindahl equilibria in measure theoretic economies without ordered preferences," Journal of Economic Theory, Elsevier, vol. 34(2), pages 342-359, December.
    25. Ali Khan, M., 1976. "Oligopoly in markets with a continuum of traders: An asymptotic interpretation," Journal of Economic Theory, Elsevier, vol. 12(2), pages 273-297, April.
    26. R. J. Aumann & Y. Katznelson & R. Radner & R. W. Rosenthal & B. Weiss, 1983. "Approximate Purification of Mixed Strategies," Mathematics of Operations Research, INFORMS, vol. 8(3), pages 327-341, August.
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