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A General Extension Theorem for Binary Relations

Citations

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Cited by:

  1. Weymark, John A., 2000. "A generalization of Moulin's Pareto extension theorem," Mathematical Social Sciences, Elsevier, vol. 39(2), pages 235-240, March.
  2. Athanasios Andrikopoulos, 2007. "A representation of consistent binary relations," Spanish Economic Review, Springer;Spanish Economic Association, vol. 9(4), pages 299-307, December.
  3. Chambers, Christopher P. & Yenmez, M. Bumin, 2018. "A simple characterization of responsive choice," Games and Economic Behavior, Elsevier, vol. 111(C), pages 217-221.
  4. Thomas Demuynck, 2009. "Absolute and Relative Time-Consistent Revealed Preferences," Theory and Decision, Springer, vol. 66(3), pages 283-299, March.
  5. Ennio Bilancini, 2011. "On the rationalizability of observed consumers’ choices when preferences depend on budget sets and (potentially) on anything else," Journal of Economics, Springer, vol. 102(3), pages 275-286, April.
  6. Franz Dietrich & Christian List, 2013. "Propositionwise judgment aggregation: the general case," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(4), pages 1067-1095, April.
  7. Eric Danan, 2010. "Randomization vs. Selection: How to Choose in the Absence of Preference?," Management Science, INFORMS, vol. 56(3), pages 503-518, March.
  8. Demuynck, Thomas, 2009. "A general extension result with applications to convexity, homotheticity and monotonicity," Mathematical Social Sciences, Elsevier, vol. 57(1), pages 96-109, January.
  9. Regenwetter, Michel & Marley, A. A. J. & Grofman, Bernard, 2002. "A general concept of majority rule," Mathematical Social Sciences, Elsevier, vol. 43(3), pages 405-428, July.
  10. Raphaël Giraud, 2004. "Reference-dependent preferences: rationality, mechanism and welfare implications," Cahiers de la Maison des Sciences Economiques v04087, Université Panthéon-Sorbonne (Paris 1).
  11. Mikhail Freer & César Martinelli, 2023. "An algebraic approach to revealed preference," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(3), pages 717-742, April.
  12. Chambers, Christopher P. & Miller, Alan D., 2018. "Benchmarking," Theoretical Economics, Econometric Society, vol. 13(2), May.
  13. Kitahara, Minoru & Okumura, Yasunori, 2024. "Extensions of partial priorities and stability in school choice," Mathematical Social Sciences, Elsevier, vol. 131(C), pages 1-4.
  14. Sprumont, Yves, 2001. "Paretian Quasi-orders: The Regular Two-Agent Case," Journal of Economic Theory, Elsevier, vol. 101(2), pages 437-456, December.
  15. Magyarkuti, Gyula, 2000. "Note on generated choice and axioms of revealed preference," MPRA Paper 20358, University Library of Munich, Germany, revised 01 Feb 2010.
  16. Andrikopoulos, Athanasios, 2009. "Szpilrajn-type theorems in economics," MPRA Paper 14345, University Library of Munich, Germany.
  17. Athanasios Andrikopoulos, 2016. "A characterization of the generalized optimal choice set through the optimization of generalized weak utilities," Theory and Decision, Springer, vol. 80(4), pages 611-621, April.
  18. Quartieri, Federico, 2022. "A unified view of the existence of maximals," Journal of Mathematical Economics, Elsevier, vol. 99(C).
  19. Uyanik, Metin & Khan, M. Ali, 2022. "The continuity postulate in economic theory: A deconstruction and an integration," Journal of Mathematical Economics, Elsevier, vol. 101(C).
  20. Mikhail Freer & Cesar Martinelli, 2018. "A Functional Approach to Revealed Preference," Working Papers 1070, George Mason University, Interdisciplinary Center for Economic Science.
  21. Ok, Efe A., 2002. "Utility Representation of an Incomplete Preference Relation," Journal of Economic Theory, Elsevier, vol. 104(2), pages 429-449, June.
  22. José Alcantud, 2009. "Conditional ordering extensions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(3), pages 495-503, June.
  23. Athanasios Andrikopoulos, 2011. "Characterization of the existence of semicontinuous weak utilities for binary relations," Theory and Decision, Springer, vol. 70(1), pages 13-26, January.
  24. Pivato, Marcus, 2010. "Approximate interpersonal comparisons of well-being," MPRA Paper 25224, University Library of Munich, Germany.
  25. Athanasios Andrikopoulos, 2019. "On the extension of binary relations in economic and game theories," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 42(1), pages 277-285, June.
  26. Quartieri, Federico, 2021. "Existence of maximals via right traces," MPRA Paper 107189, University Library of Munich, Germany.
  27. Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2002. "Upper semicontinuous extensions of binary relations," Journal of Mathematical Economics, Elsevier, vol. 37(3), pages 231-246, May.
  28. Gopakumar Achuthankutty, 2024. "Strategy-proof multinary group identification," Indira Gandhi Institute of Development Research, Mumbai Working Papers 2024-006, Indira Gandhi Institute of Development Research, Mumbai, India.
  29. Mikhail Freer & Cesar Martinelli, 2018. "A Functional Approach to Revealed Preference," Working Papers 1070, George Mason University, Interdisciplinary Center for Economic Science.
  30. Andrikopoulos, Athanasios, 2009. "Characterization of the Generalized Top-Choice Assumption (Smith) set," MPRA Paper 14897, University Library of Munich, Germany.
  31. Thomas Schwartz, 2011. "One-dimensionality and stability in legislative voting," Public Choice, Springer, vol. 148(1), pages 197-214, July.
  32. Freer, Mikhail & Martinelli, César, 2021. "A utility representation theorem for general revealed preference," Mathematical Social Sciences, Elsevier, vol. 111(C), pages 68-76.
  33. Peter Caradonna & Christopher P. Chambers, 2024. "Revealed Invariant Preference," Papers 2408.04573, arXiv.org.
  34. John Duggan, 2011. "Uncovered Sets," Wallis Working Papers WP63, University of Rochester - Wallis Institute of Political Economy.
  35. Herden, Gerhard & Pallack, Andreas, 2002. "On the continuous analogue of the Szpilrajn Theorem I," Mathematical Social Sciences, Elsevier, vol. 43(2), pages 115-134, March.
  36. John Duggan, 2013. "Uncovered sets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(3), pages 489-535, September.
  37. Yannai A. Gonczarowski & Scott Duke Kominers & Ran I. Shorrer, 2019. "To Infinity and Beyond: A General Framework for Scaling Economic Theories," Papers 1906.10333, arXiv.org, revised Apr 2023.
  38. Athanasios Andrikopoulos, 2012. "On the construction of non-empty choice sets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(2), pages 305-323, February.
  39. Kaminski, B., 2007. "On quasi-orderings and multi-objective functions," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1591-1598, March.
  40. Peter Caradonna & Christopher P. Chambers, 2023. "A Note on Invariant Extensions of Preorders," Papers 2303.04522, arXiv.org.
  41. Magyarkuti, Gyula, 1999. "A complementary approach to transitive rationalizability," MPRA Paper 20164, University Library of Munich, Germany.
  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. Knoblauch, Vicki, 2013. "A simple voting scheme generates all binary relations on finite sets," Journal of Mathematical Economics, Elsevier, vol. 49(3), pages 230-233.
  44. Vicki Knoblauch, 2006. "Continuously Representable Paretian Quasi-Orders," Theory and Decision, Springer, vol. 60(1), pages 1-16, February.
  45. Athanasios Andrikopoulos, 2017. "Generalizations of Szpilrajn's Theorem in economic and game theories," Papers 1708.04711, arXiv.org.
  46. T. Demuynck, 2009. "Common ordering extensions," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 09/593, Ghent University, Faculty of Economics and Business Administration.
  47. Pivato, Marcus, 2009. "Social choice with approximate interpersonal comparisons of well-being," MPRA Paper 17060, University Library of Munich, Germany.
  48. Gonczarowski, Yannai A. & Kominers, Scott Duke & Shorrer, Ran I., 0. "To infinity and beyond: a general framework for scaling economic theories," Theoretical Economics, Econometric Society.
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