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Maximal elements of acyclic relations on compact sets

Citations

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Cited by:

  1. Kukushkin, Nikolai S., 2016. "Nash equilibrium with discontinuous utility functions: Reny's approach extended," MPRA Paper 75862, University Library of Munich, Germany.
  2. 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.
  3. S. Abu Turab Rizvi, 2001. "Preference Formation and the Axioms of Choice," Review of Political Economy, Taylor & Francis Journals, vol. 13(2), pages 141-159.
  4. 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.
  5. Christopher P. Chambers & Federico Echenique & Nicolas S. Lambert, 2021. "Recovering Preferences From Finite Data," Econometrica, Econometric Society, vol. 89(4), pages 1633-1664, July.
  6. 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.
  7. 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.
  8. Christopher P. Chambers & Federico Echenique & Nicolas S. Lambert, 2018. "Preference Identification," Papers 1807.11585, arXiv.org.
  9. Gutiérrez, José Manuel, 2009. "A characterization of compactness through preferences," Mathematical Social Sciences, Elsevier, vol. 57(1), pages 131-133, January.
  10. Jean Mercier Ythier, 1993. "Équilibre général de dons individuels," Revue Économique, Programme National Persée, vol. 44(5), pages 925-950.
  11. Ghosal, Sayantan & Dalton, Patricio, 2013. "Characterizing Behavioral Decisions with Choice Data," CAGE Online Working Paper Series 107, Competitive Advantage in the Global Economy (CAGE).
  12. 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.
  13. 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.
  14. Morgan, Jacqueline & Scalzo, Vincenzo, 2007. "Pseudocontinuous functions and existence of Nash equilibria," Journal of Mathematical Economics, Elsevier, vol. 43(2), pages 174-183, February.
  15. Mehmet S. Ismail & Ronald Peeters, 2025. "Existence of pure equilibria in symmetric two-player zero-sum games," International Journal of Game Theory, Springer;Game Theory Society, vol. 54(1), pages 1-18, June.
  16. Nikolai S Kukushkin, 2005. "On the existence of maximal elements: An impossibility theorem," Game Theory and Information 0509004, University Library of Munich, Germany.
  17. Jörg Stoye, 2011. "Statistical decisions under ambiguity," Theory and Decision, Springer, vol. 70(2), pages 129-148, February.
  18. J. C. R. Alcantud & Carlos Alós-Ferrer, 2002. "Choice-Nash Equilibria," Vienna Economics Papers vie0209, University of Vienna, Department of Economics.
  19. Rodriguez-Palmero, Carlos & Garcia-Lapresta, Jose-Luis, 2002. "Maximal elements for irreflexive binary relations on compact sets," Mathematical Social Sciences, Elsevier, vol. 43(1), pages 55-60, January.
  20. De Magistris, Enrico, 2024. "Incomplete preferences or incomplete information? On Rationalizability in games with private values," Games and Economic Behavior, Elsevier, vol. 144(C), pages 126-140.
  21. Athanasios Andrikopoulos & Nikolaos Sampanis, 2025. "A Characterization Framework for Stable Sets and Their Variants," Papers 2508.09798, arXiv.org.
  22. Dalton, Patricio & Ghosal, Syantan, "undated". "Behavioural Decisions and Welfare," Economic Research Papers 269783, University of Warwick - Department of Economics.
  23. Dalton, Patricio & Ghosal, Sayantan, 2018. "Self-fulfilling mistakes : Characterization and welfare," Other publications TiSEM 4ea1a236-5307-4b4b-b268-e, Tilburg University, School of Economics and Management.
  24. Nikolai Hoberg & Stefan Baumgärtner, 2014. "Value pluralism, trade-offs and efficiencies," Working Paper Series in Economics 311, University of Lüneburg, Institute of Economics.
  25. Tian, Guoqiang & Zhou, Jianxin, 1995. "Transfer continuities, generalizations of the Weierstrass and maximum theorems: A full characterization," Journal of Mathematical Economics, Elsevier, vol. 24(3), pages 281-303.
  26. Quartieri, Federico, 2022. "A unified view of the existence of maximals," Journal of Mathematical Economics, Elsevier, vol. 99(C).
  27. 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.
  28. Quartieri, Federico, 2021. "Existence of maximals via right traces," MPRA Paper 107189, University Library of Munich, Germany.
  29. Paolo Bevilacqua & Gianni Bosi & Magalì Zuanon, 2018. "Multiobjective Optimization, Scalarization, and Maximal Elements of Preorders," Abstract and Applied Analysis, John Wiley & Sons, vol. 2018(1).
  30. Scapparone, Paolo, 2015. "Existence of an upper hemi-continuous and convex-valued demand sub-correspondence," Mathematical Social Sciences, Elsevier, vol. 75(C), pages 123-129.
  31. 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.
  32. J. C. R. Alcantud & Carlos Alós-Ferrer, 2002. "Choice-Nash Equilibria," Vienna Economics Papers 0209, University of Vienna, Department of Economics.
  33. Ghosal, Sayantan, 2011. "Complementarity with complete but P-acyclic preferences," Mathematical Social Sciences, Elsevier, vol. 62(2), pages 120-122, September.
  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. 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.
  36. Luc, Dinh The & Soubeyran, Antoine, 2013. "Variable preference relations: Existence of maximal elements," Journal of Mathematical Economics, Elsevier, vol. 49(4), pages 251-262.
  37. Alcantud, José Carlos R. & Bosi, Gianni & Zuanon, Magalì, 2013. "Representations of preorders by strong multi-objective functions," MPRA Paper 52329, University Library of Munich, Germany.
  38. Kukushkin, Nikolai S., 2018. "Better response dynamics and Nash equilibrium in discontinuous games," Journal of Mathematical Economics, Elsevier, vol. 74(C), pages 68-78.
  39. 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.
  40. Joseph Armel Momo Kenfack, 2022. "Committees under qualified majority rules: the one-core stability index," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(2), pages 401-422, August.
  41. 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).
  42. Andrikopoulos, Athanasios & Zacharias, Eleftherios, 2008. "General solutions for choice sets: The Generalized Optimal-Choice Axiom set," MPRA Paper 11645, University Library of Munich, Germany.
  43. Dalton, P.S. & Ghosal, S., 2010. "Behavioral Decisions and Welfare (Replaces CentER DP 2010-22)," Other publications TiSEM 274e6102-4c86-4ca9-8d67-8, Tilburg University, School of Economics and Management.
  44. Kukushkin, Nikolai S., 2006. "On the choice of most-preferred alternatives," MPRA Paper 803, University Library of Munich, Germany.
  45. Begoña Subiza Martínez & Carmen Herrero Blanco, 1991. "A characterization of acyclic preferences on countable sets," Working Papers. Serie AD 1991-01, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  46. Subiza, Begona & Peris, Josep E., 1997. "Numerical representation for lower quasi-continuous preferences," Mathematical Social Sciences, Elsevier, vol. 33(2), pages 149-156, April.
  47. Gianni Bosi & Magalì E. Zuanon, 2017. "Maximal elements of quasi upper semicontinuous preorders on compact spaces," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 109-117, April.
  48. P. Herings & Kirsten Rohde, 2008. "On the completeness of complete markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(2), pages 171-201, November.
  49. 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.
  50. Hougaard, Jens Leth & Tvede, Mich, 2002. "Benchmark selection: An axiomatic approach," European Journal of Operational Research, Elsevier, vol. 137(1), pages 218-228, February.
  51. Qi-Qing Song, 2025. "The existence of $$\alpha$$ α -core for general cooperative games with infinite or finite players," Theory and Decision, Springer, vol. 99(4), pages 829-852, December.
  52. 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).
  53. 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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