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Transfer continuities, generalizations of the Weierstrass and maximum theorems: A full characterization

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  • Tian, Guoqiang
  • Zhou, Jianxin

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 24 (1995)
Issue (Month): 3 ()
Pages: 281-303

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Handle: RePEc:eee:mateco:v:24:y:1995:i:3:p:281-303

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Web page: http://www.elsevier.com/locate/jmateco

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References

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  1. Walker, Mark, 1979. "A Generalization of the Maximum Theorem," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 20(1), pages 267-72, February.
  2. Wayne Shafer & Hugo Sonnenschein, 1974. "Equilibrium in Abstract Economies Without Ordered Preferences," Discussion Papers, Northwestern University, Center for Mathematical Studies in Economics and Management Science 94, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  3. Dasgupta, Partha & Maskin, Eric, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, I: Theory," Review of Economic Studies, Wiley Blackwell, Wiley Blackwell, vol. 53(1), pages 1-26, January.
  4. Bergstrom, Theodore C., 1975. "Maximal elements of acyclic relations on compact sets," Journal of Economic Theory, Elsevier, Elsevier, vol. 10(3), pages 403-404, June.
  5. Yannelis, Nicholas C., 1987. "Equilibria in noncooperative models of competition," Journal of Economic Theory, Elsevier, Elsevier, vol. 41(1), pages 96-111, February.
  6. Yannelis, Nicholas C. & Prabhakar, N. D., 1983. "Existence of maximal elements and equilibria in linear topological spaces," Journal of Mathematical Economics, Elsevier, Elsevier, vol. 12(3), pages 233-245, December.
  7. Borglin, Anders & Keiding, Hans, 1976. "Existence of equilibrium actions and of equilibrium : A note on the `new' existence theorems," Journal of Mathematical Economics, Elsevier, Elsevier, vol. 3(3), pages 313-316, December.
  8. Khan, M. Ali & Vohra, Rajiv, 1984. "Equilibrium in abstract economies without ordered preferences and with a measure space of agents," Journal of Mathematical Economics, Elsevier, Elsevier, vol. 13(2), pages 133-142, October.
  9. Tian, Guoqiang, 1992. "On the Existence of Equilibria in Generalized Games," International Journal of Game Theory, Springer, Springer, vol. 20(3), pages 247-54.
  10. Tian, Guoqiang, 1992. "Existence of equilibrium in abstract economies with discontinuous payoffs and non-compact choice spaces," Journal of Mathematical Economics, Elsevier, Elsevier, vol. 21(4), pages 379-388.
  11. Bergstrom, Theodore C. & Parks, Robert P. & Rader, Trout, 1976. "Preferences which have open graphs," Journal of Mathematical Economics, Elsevier, Elsevier, vol. 3(3), pages 265-268, December.
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Citations

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Cited by:
  1. Morgan, Jacqueline & Scalzo, Vincenzo, 2007. "Pseudocontinuous functions and existence of Nash equilibria," Journal of Mathematical Economics, Elsevier, Elsevier, vol. 43(2), pages 174-183, February.
  2. J C R Alcantud, 2004. "Maximality with or without binariness: transfer-type characterizations," Microeconomics, EconWPA 0402015, EconWPA.
  3. Rabia Nessah & Guoqiang Tian, 2009. "Existence of Equilibria in Discontinuous and Nonconvex Games," Levine's Working Paper Archive 814577000000000206, David K. Levine.
  4. Josep Enric Peris Ferrando & Begoña Subiza Martínez, 1996. "Numerical representation for lower quasi-continuous preferences," Working Papers. Serie AD, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) 1996-08, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  5. Rodriguez-Palmero, Carlos & Garcia-Lapresta, Jose-Luis, 2002. "Maximal elements for irreflexive binary relations on compact sets," Mathematical Social Sciences, Elsevier, Elsevier, vol. 43(1), pages 55-60, January.
  6. Francesco Ciardiello, 2007. "Some Examples and Counterexamples about Continuity on Equilibrium Problems," Quaderni DSEMS, Dipartimento di Scienze Economiche, Matematiche e Statistiche, Universita' di Foggia 16-2007, Dipartimento di Scienze Economiche, Matematiche e Statistiche, Universita' di Foggia.
  7. Tian, Guoqiang, 2012. "A Full Characterization on Fixed-Point Theorem, Minimax Inequality, Saddle Point, and KKM Theorem," MPRA Paper 57929, University Library of Munich, Germany, revised Jul 2014.
  8. Idione Soza & Paulo Barelli, 2012. "A note on the equilibrium existence problem in discontinuous games," Discussion Papers Series, School of Economics, University of Queensland, Australia 467, School of Economics, University of Queensland, Australia.
  9. Duggan, John, 2011. "General conditions for the existence of maximal elements via the uncovered set," Journal of Mathematical Economics, Elsevier, Elsevier, vol. 47(6), pages 755-759.
  10. Scalzo, Vincenzo, 2010. "Pareto efficient Nash equilibria in discontinuous games," Economics Letters, Elsevier, Elsevier, vol. 107(3), pages 364-365, June.
  11. Francesco Ciardiello, 2007. "Convexity on Nash Equilibria without Linear Structure," Quaderni DSEMS, Dipartimento di Scienze Economiche, Matematiche e Statistiche, Universita' di Foggia 15-2007, Dipartimento di Scienze Economiche, Matematiche e Statistiche, Universita' di Foggia.
  12. Scalzo, Vincenzo, 2012. "Discontinuous stable games and efficient Nash equilibria," Economics Letters, Elsevier, Elsevier, vol. 115(3), pages 387-389.
  13. Rabia Nessah & Guoqiang Tian, 2008. "The Existence of Equilibria in Discontinuous and Nonconvex Games," Working Papers, IESEG School of Management 2008-ECO-14, IESEG School of Management, revised Mar 2010.
  14. Vincenzo Scalzo, 2013. "Essential equilibria of discontinuous games," Economic Theory, Springer, Springer, vol. 54(1), pages 27-44, September.

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