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Arrow's theorem and the Gibbard-Satterthwaite theorem: a unified approach

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Cited by:

  1. Shino Takayama & Akira Yokotani, 2017. "Social choice correspondences with infinitely many agents: serial dictatorship," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(3), pages 573-598, March.
  2. Davide Grossi, 2021. "Lecture Notes on Voting Theory," Papers 2105.00216, arXiv.org.
  3. Miller, Michael K., 2009. "Social choice theory without Pareto: The pivotal voter approach," Mathematical Social Sciences, Elsevier, vol. 58(2), pages 251-255, September.
  4. Mishra, Debasis & Sen, Arunava, 2012. "Robertsʼ Theorem with neutrality: A social welfare ordering approach," Games and Economic Behavior, Elsevier, vol. 75(1), pages 283-298.
  5. Weber, Tjark, 2009. "Alternatives vs. Outcomes: A Note on the Gibbard-Satterthwaite Theorem," MPRA Paper 17836, University Library of Munich, Germany.
  6. Salvador Barberà, 2003. "A Theorem on Preference Aggregation," Working Papers 166, Barcelona School of Economics.
  7. Mishra, Debasis & Nath, Swaprava & Roy, Souvik, 2018. "Separability and decomposition in mechanism design with transfers," Games and Economic Behavior, Elsevier, vol. 109(C), pages 240-261.
  8. Cato, Susumu, 2009. "Another induction proof of the Gibbard-Satterthwaite theorem," Economics Letters, Elsevier, vol. 105(3), pages 239-241, December.
  9. Muto, Nozomu & Sato, Shin, 2016. "Bounded response of aggregated preferences," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 1-15.
  10. Susumu Cato, 2013. "Alternative proofs of Arrow’s general possibility theorem," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(2), pages 131-137, November.
  11. Alexia Gaudeul, 2009. "A (Micro) Course in Microeconomic Theory for MSc Students," Working Papers id:1986, eSocialSciences.
  12. Mishra, Debasis & Roy, Souvik, 2012. "Strategy-proof partitioning," Games and Economic Behavior, Elsevier, vol. 76(1), pages 285-300.
  13. Allan M Feldman & Roberto Serrano, 2007. "Arrow's Impossibility Theorem: Preference Diversity in a Single-Profile World," Working Papers 2007-12, Brown University, Department of Economics.
  14. Anup Pramanik & Arunava Sen, 2016. "Pairwise partition graphs and strategy-proof social choice in the exogenous indifference class model," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(1), pages 1-24, June.
  15. Wesley H. Holliday & Eric Pacuit, 2020. "Arrow’s decisive coalitions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(2), pages 463-505, March.
  16. Uuganbaatar Ninjbat, 2015. "Impossibility theorems are modified and unified," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(4), pages 849-866, December.
  17. Samejima, Yusuke, 2005. "Strategic candidacy, monotonicity, and strategy-proofness," Economics Letters, Elsevier, vol. 88(2), pages 190-195, August.
  18. Artemov, Georgy, 2014. "An impossibility result for virtual implementation with status quo," Economics Letters, Elsevier, vol. 122(3), pages 380-385.
  19. Priscilla Man & Shino Takayama, 2013. "A unifying impossibility theorem," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(2), pages 249-271, October.
  20. Benoit, Jean-Pierre, 2000. "The Gibbard-Satterthwaite theorem: a simple proof," Economics Letters, Elsevier, vol. 69(3), pages 319-322, December.
  21. Susumu Cato, 2010. "Brief proofs of Arrovian impossibility theorems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(2), pages 267-284, July.
  22. Bettina Klaus & Olivier Bochet, 2013. "The relation between monotonicity and strategy-proofness," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(1), pages 41-63, January.
  23. Ninjbat, Uuganbaatar, 2012. "Another direct proof for the Gibbard–Satterthwaite Theorem," Economics Letters, Elsevier, vol. 116(3), pages 418-421.
  24. Sen, Arunava, 2001. "Another direct proof of the Gibbard-Satterthwaite Theorem," Economics Letters, Elsevier, vol. 70(3), pages 381-385, March.
  25. Uuganbaatar Ninjbat, 2018. "Impossibility theorems with countably many individuals," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 9(3), pages 333-350, August.
  26. Piggins, Ashley, 2017. "Sen’s proofs of the Arrow and Gibbard theorems," Economics Letters, Elsevier, vol. 161(C), pages 99-101.
  27. Sato, Shin, 2013. "A sufficient condition for the equivalence of strategy-proofness and nonmanipulability by preferences adjacent to the sincere one," Journal of Economic Theory, Elsevier, vol. 148(1), pages 259-278.
  28. Mark Fey, 2014. "A straightforward proof of Arrow's theorem," Economics Bulletin, AccessEcon, vol. 34(3), pages 1792-1797.
  29. Ning Neil Yu, 2013. "A one-shot proof of Arrow’s theorem and the Gibbard–Satterthwaite theorem," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(2), pages 145-149, November.
  30. Frantisek Turnovec, 2016. "Manipulability of Voting Procedures, Strategic Voting ad Strategic Nomination," EcoMod2016 9223, EcoMod.
  31. Eraslan, H.Hulya & McLennan, Andrew, 2004. "Strategic candidacy for multivalued voting procedures," Journal of Economic Theory, Elsevier, vol. 117(1), pages 29-54, July.
  32. Roberto Serrano, 2003. "The Theory of Implementation of Social Choice Rules," Working Papers 2003-19, Brown University, Department of Economics.
  33. Allan M. Feldman & Roberto Serrano, 2006. "Darwinian Arrow's Impossibility Theorem: Two Simple Single-Profile Versions," Working Papers 2006-11, Brown University, Department of Economics.
  34. Ning Yu, 2015. "A quest for fundamental theorems of social choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(3), pages 533-548, March.
  35. Allan M Feldman & Roberto Serrano, 2008. "Arrow's Impossibility Theorem: Preference Diversity in a Single-Profile World," Working Papers 2008-8, Brown University, Department of Economics.
  36. Brendan Markey-Towler, 2016. "Economics cannot isolate itself from political theory: a mathematical demonstration," Papers 1701.06410, arXiv.org.
  37. Cato, Susumu, 2018. "Incomplete decision-making and Arrow’s impossibility theorem," Mathematical Social Sciences, Elsevier, vol. 94(C), pages 58-64.
  38. Elizabeth Maggie Penn, 2015. "Arrow’s Theorem and its descendants," Chapters, in: Jac C. Heckelman & Nicholas R. Miller (ed.), Handbook of Social Choice and Voting, chapter 14, pages 237-262, Edward Elgar Publishing.
  39. Andranik Tangian, 2010. "Computational application of the mathematical theory of democracy to Arrow’s Impossibility Theorem (how dictatorial are Arrow’s dictators?)," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(1), pages 129-161, June.
  40. Pierre Bernhard & Marc Deschamps, 2018. "Arrow’s (im)possibility theorem," Post-Print hal-01941037, HAL.
  41. Uuganbaatar Ninjbat, 2012. "Symmetry vs. complexity in proving the Muller-Satterthwaite theorem," Economics Bulletin, AccessEcon, vol. 32(2), pages 1434-1441.
  42. Nehring, Klaus, 2003. "Arrow's theorem as a corollary," Economics Letters, Elsevier, vol. 80(3), pages 379-382, September.
  43. Sato, Shin, 2009. "Strategy-proof social choice with exogenous indifference classes," Mathematical Social Sciences, Elsevier, vol. 57(1), pages 48-57, January.
  44. Kui Ou-Yang, 2018. "Generalized rawlsianism," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 50(2), pages 265-279, February.
  45. Muto, Nozomu & Sato, Shin, 2017. "An impossibility under bounded response of social choice functions," Games and Economic Behavior, Elsevier, vol. 106(C), pages 1-15.
  46. Cato, Susumu, 2011. "Maskin monotonicity and infinite individuals," Economics Letters, Elsevier, vol. 110(1), pages 56-59, January.
  47. Mitra, Manipushpak & Sen, Debapriya, 2014. "An alternative proof of Fishburn’s axiomatization of lexicographic preferences," Economics Letters, Elsevier, vol. 124(2), pages 168-170.
  48. Shino Takayama & Akira Yokotani, 2014. "Serial Dictatorship with Infinitely Many Agents," Discussion Papers Series 503, School of Economics, University of Queensland, Australia.
  49. Kerber, Manfred & Lange, Christoph & Rowat, Colin, 2016. "An introduction to mechanized reasoning," Journal of Mathematical Economics, Elsevier, vol. 66(C), pages 26-39.
  50. Svensson, Lars-Gunnar & Reffgen, Alexander, 2014. "The proof of the Gibbard–Satterthwaite theorem revisited," Journal of Mathematical Economics, Elsevier, vol. 55(C), pages 11-14.
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