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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. 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.
  3. Kitahara, Minoru & Okumura, Yasunori, 2024. "Extensions of partial priorities and stability in school choice," Mathematical Social Sciences, Elsevier, vol. 131(C), pages 1-4.
  4. 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.
  5. 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.
  6. Ok, Efe A., 2002. "Utility Representation of an Incomplete Preference Relation," Journal of Economic Theory, Elsevier, vol. 104(2), pages 429-449, June.
  7. Magyarkuti, Gyula, 1999. "A complementary approach to transitive rationalizability," MPRA Paper 20164, University Library of Munich, Germany.
  8. Thomas Demuynck, 2009. "Absolute and Relative Time-Consistent Revealed Preferences," Theory and Decision, Springer, vol. 66(3), pages 283-299, March.
  9. Eric Danan, 2010. "Randomization vs. Selection: How to Choose in the Absence of Preference?," Management Science, INFORMS, vol. 56(3), pages 503-518, March.
  10. Quartieri, Federico, 2022. "A unified view of the existence of maximals," Journal of Mathematical Economics, Elsevier, vol. 99(C).
  11. José Alcantud, 2009. "Conditional ordering extensions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(3), pages 495-503, June.
  12. 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.
  13. Mikhail Freer & Cesar Martinelli, 2018. "A Functional Approach to Revealed Preference," Working Papers ECARES 2018-29, ULB -- Universite Libre de Bruxelles.
  14. Pivato, Marcus, 2010. "Approximate interpersonal comparisons of well-being," MPRA Paper 25224, University Library of Munich, Germany.
  15. Quartieri, Federico, 2021. "Existence of maximals via right traces," MPRA Paper 107189, University Library of Munich, Germany.
  16. 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.
  17. Peter Caradonna & Christopher P. Chambers, 2024. "Revealed Invariant Preference," Papers 2408.04573, arXiv.org.
  18. 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.
  19. Kaminski, B., 2007. "On quasi-orderings and multi-objective functions," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1591-1598, March.
  20. Peter Caradonna & Christopher P. Chambers, 2023. "A Note on Invariant Extensions of Preorders," Papers 2303.04522, arXiv.org.
  21. 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.
  22. Vicki Knoblauch, 2006. "Continuously Representable Paretian Quasi-Orders," Theory and Decision, Springer, vol. 60(1), pages 1-16, February.
  23. Athanasios Andrikopoulos, 2017. "Generalizations of Szpilrajn's Theorem in economic and game theories," Papers 1708.04711, arXiv.org.
  24. Pivato, Marcus, 2009. "Social choice with approximate interpersonal comparisons of well-being," MPRA Paper 17060, University Library of Munich, Germany.
  25. 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.
  26. Sprumont, Yves, 2001. "Paretian Quasi-orders: The Regular Two-Agent Case," Journal of Economic Theory, Elsevier, vol. 101(2), pages 437-456, December.
  27. Magyarkuti, Gyula, 2000. "Note on generated choice and axioms of revealed preference," MPRA Paper 20358, University Library of Munich, Germany, revised 01 Feb 2010.
  28. 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).
  29. 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.
  30. Mikhail Freer & Cesar Martinelli, 2018. "A Functional Approach to Revealed Preference," Working Papers 1070, George Mason University, Interdisciplinary Center for Economic Science.
  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. 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.
  34. 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.
  35. Athanasios Andrikopoulos, 2007. "A representation of consistent binary relations," Spanish Economic Review, Springer;Spanish Economic Association, vol. 9(4), pages 299-307, December.
  36. Chambers, Christopher P. & Yenmez, M. Bumin, 2018. "A simple characterization of responsive choice," Games and Economic Behavior, Elsevier, vol. 111(C), pages 217-221.
  37. 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.
  38. Raphaël Giraud, 2004. "Reference-dependent preferences: rationality, mechanism and welfare implications," Cahiers de la Maison des Sciences Economiques v04087, Université Panthéon-Sorbonne (Paris 1).
  39. Chambers, Christopher P. & Miller, Alan D., 2018. "Benchmarking," Theoretical Economics, Econometric Society, vol. 13(2), May.
  40. Andrikopoulos, Athanasios, 2009. "Szpilrajn-type theorems in economics," MPRA Paper 14345, University Library of Munich, Germany.
  41. Andrikopoulos, Athanasios, 2009. "Characterization of the Generalized Top-Choice Assumption (Smith) set," MPRA Paper 14897, University Library of Munich, Germany.
  42. John Duggan, 2011. "Uncovered Sets," Wallis Working Papers WP63, University of Rochester - Wallis Institute of Political Economy.
  43. 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.
  44. John Duggan, 2013. "Uncovered sets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(3), pages 489-535, September.
  45. 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.
  46. Andrikopoulos, Athanasios & Zacharias, Eleftherios, 2008. "General solutions for choice sets: The Generalized Optimal-Choice Axiom set," MPRA Paper 11645, University Library of Munich, Germany.
  47. 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.
  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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