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On the existence of maximal elements

Citations

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Cited by:

  1. Alcantud, J.C.R., 2008. "Mixed choice structures, with applications to binary and non-binary optimization," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 242-250, February.
  2. Salonen, Hannu & Vartiainen, Hannu, 2010. "On the existence of undominated elements of acyclic relations," Mathematical Social Sciences, Elsevier, vol. 60(3), pages 217-221, November.
  3. Llinares, Juan-Vicente, 1998. "Unified treatment of the problem of existence of maximal elements in binary relations: a characterization," Journal of Mathematical Economics, Elsevier, vol. 29(3), pages 285-302, April.
  4. Duggan, John, 2011. "General conditions for the existence of maximal elements via the uncovered set," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 755-759.
  5. Hougaard, Jens Leth & Tvede, Mich, 2002. "Benchmark selection: An axiomatic approach," European Journal of Operational Research, Elsevier, vol. 137(1), pages 218-228, February.
  6. Kukushkin, Nikolai S., 2010. "On continuous ordinal potential games," MPRA Paper 20713, University Library of Munich, Germany.
  7. J. C. R. Alcantud & Carlos Alós-Ferrer, 2002. "Choice-Nash Equilibria," Vienna Economics Papers vie0209, University of Vienna, Department of Economics.
  8. Kukushkin, Nikolai S., 2008. "Maximizing an interval order on compact subsets of its domain," Mathematical Social Sciences, Elsevier, vol. 56(2), pages 195-206, September.
  9. Horvath, Charles D. & Ciscar, Juan Vicente Llinares, 1996. "Maximal elements and fixed points for binary relations on topological ordered spaces," Journal of Mathematical Economics, Elsevier, vol. 25(3), pages 291-306.
  10. Federico Quartieri, 2023. "Undominated Maximals: General Definition and Characterizations," Mathematics, MDPI, vol. 11(18), pages 1-19, September.
  11. Tian, Guoqiang, 1990. "Generalizations of the FKKM Theorem and Ky-Fan Minimax Inequality, with Applications to Maximal Elements, Price Equilibrium, and Complementarity," MPRA Paper 41225, University Library of Munich, Germany.
  12. Kukushkin, Nikolai S., 2018. "Better response dynamics and Nash equilibrium in discontinuous games," Journal of Mathematical Economics, Elsevier, vol. 74(C), pages 68-78.
  13. M. Carmen Sánchez & Juan-Vicente Llinares & Begoña Subiza, 2003. "A KKM-result and an application for binary and non-binary choice functions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(1), pages 185-193, January.
  14. Kukushkin, Nikolai S., 2006. "On the choice of most-preferred alternatives," MPRA Paper 803, University Library of Munich, Germany.
  15. Subiza, Begona & Peris, Josep E., 1997. "Numerical representation for lower quasi-continuous preferences," Mathematical Social Sciences, Elsevier, vol. 33(2), pages 149-156, April.
  16. Barberà, Salvador & Moreno, Bernardo, 2011. "Top monotonicity: A common root for single peakedness, single crossing and the median voter result," Games and Economic Behavior, Elsevier, vol. 73(2), pages 345-359.
  17. Hougaard, Jens Leth & Tvede, Mich, 2001. "The existence of maximal elements: generalized lexicographic relations," Journal of Mathematical Economics, Elsevier, vol. 36(2), pages 111-115, November.
  18. Nikolai Kukushkin, 2011. "Nash equilibrium in compact-continuous games with a potential," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(2), pages 387-392, May.
  19. Alcantud, J. C. R. & Manrique, A., 2001. "Continuous representation by a money-metric function," Mathematical Social Sciences, Elsevier, vol. 41(3), pages 365-373, May.
  20. John Duggan, 2011. "General Conditions for Existence of Maximal Elements via the Uncovered Set," RCER Working Papers 563, University of Rochester - Center for Economic Research (RCER).
  21. Kukushkin, Nikolai S., 2016. "Nash equilibrium with discontinuous utility functions: Reny's approach extended," MPRA Paper 75862, University Library of Munich, Germany.
  22. José Carlos R. Alcantud & Tareq M. Al-shami & A. A. Azzam, 2021. "Caliber and Chain Conditions in Soft Topologies," Mathematics, MDPI, vol. 9(19), pages 1-15, September.
  23. Norman Schofield, 2013. "The “probability of a fit choice”," Review of Economic Design, Springer;Society for Economic Design, vol. 17(2), pages 129-150, June.
  24. Gutiérrez, José Manuel, 2009. "A characterization of compactness through preferences," Mathematical Social Sciences, Elsevier, vol. 57(1), pages 131-133, January.
  25. Gorno, Leandro & Rivello, Alessandro T., 2023. "A maximum theorem for incomplete preferences," Journal of Mathematical Economics, Elsevier, vol. 106(C).
  26. Nikolai S. Kukushkin, 2019. "On the existence of undominated alternatives in convex sets," Economics Bulletin, AccessEcon, vol. 39(3), pages 2129-2136.
  27. Nikolai Hoberg & Stefan Baumgärtner, 2014. "Value pluralism, trade-offs and efficiencies," Working Paper Series in Economics 311, University of Lüneburg, Institute of Economics.
  28. Quartieri, Federico, 2022. "A unified view of the existence of maximals," Journal of Mathematical Economics, Elsevier, vol. 99(C).
  29. Sakai, Toyotaka, 2009. "Walrasian social orderings in exchange economies," Journal of Mathematical Economics, Elsevier, vol. 45(1-2), pages 16-22, January.
  30. Quartieri, Federico, 2021. "Existence of maximals via right traces," MPRA Paper 107189, University Library of Munich, Germany.
  31. Federico Quartieri, 2022. "On the Existence of Greatest Elements and Maximizers," Journal of Optimization Theory and Applications, Springer, vol. 195(2), pages 375-389, November.
  32. Llinares, Juan-Vicente & Sanchez, M. Carmen, 1999. "Non-binary choice functions on non-compact sets," Economics Letters, Elsevier, vol. 63(1), pages 29-32, April.
  33. J. C. R. Alcantud & Carlos Alós-Ferrer, 2002. "Choice-Nash Equilibria," Vienna Economics Papers 0209, University of Vienna, Department of Economics.
  34. Nehring, Klaus, 1996. "Maximal elements of non-binary choice functions on compact sets," Economics Letters, Elsevier, vol. 50(3), pages 337-340, March.
  35. Carlos Alós-Ferrer & Klaus Ritzberger, 2015. "On the characterization of preference continuity by chains of sets," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 115-128, October.
  36. Ismail, M.S., 2014. "A sufficient condition on the existence of pure equilibrium in two-person symmetric zerosum games," Research Memorandum 035, Maastricht University, Graduate School of Business and Economics (GSBE).
  37. Takuya Iimura & Toshimasa Maruta & Takahiro Watanabe, 2019. "Equilibria in games with weak payoff externalities," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 245-258, December.
  38. Evren, Özgür & Ok, Efe A., 2011. "On the multi-utility representation of preference relations," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 554-563.
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