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Two simplified proofs for Roberts’ theorem

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  • Ron Lavi
  • Ahuva Mu’alem
  • Noam Nisan

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  • Ron Lavi & Ahuva Mu’alem & Noam Nisan, 2009. "Two simplified proofs for Roberts’ theorem," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(3), pages 407-423, March.
    • Handle: RePEc:spr:sochwe:v:32:y:2009:i:3:p:407-423
    DOI: 10.1007/s00355-008-0331-y
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    References listed on IDEAS

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    1. Holzman, Ron & Monderer, Dov, 2004. "Characterization of ex post equilibrium in the VCG combinatorial auctions," Games and Economic Behavior, Elsevier, vol. 47(1), pages 87-103, April.
    2. Sushil Bikhchandani & Shurojit Chatterji & Ron Lavi & Ahuva Mu'alem & Noam Nisan & Arunava Sen, 2006. "Weak Monotonicity Characterizes Deterministic Dominant-Strategy Implementation," Econometrica, Econometric Society, vol. 74(4), pages 1109-1132, July.
    3. Moldovanu, Benny & Meyer-ter-Vehn, Moritz, 2002. "Ex-post Implementation with Interdependent Valuations," Sonderforschungsbereich 504 Publications 02-08, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
    4. Philippe Jehiel & Moritz Meyer-ter-Vehn & Benny Moldovanu, 2008. "Ex-post implementation and preference aggregation via potentials," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(3), pages 469-490, December.
    5. Ehud Kalai & Eitan Muller & Mark Satterthwaite, 1979. "Social welfare functions when preferences are convex, strictly monotonic, and continuous," Public Choice, Springer, vol. 34(1), pages 87-97, March.
    6. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    7. Babaioff, Moshe & Feldman, Michal & Nisan, Noam & Winter, Eyal, 2012. "Combinatorial agency," Journal of Economic Theory, Elsevier, vol. 147(3), pages 999-1034.
    8. Feess, E. & Schieble, M. & Walzl, M., 2004. "When should principals acquire verifiable information?," Research Memorandum 047, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
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    Cited by:

    1. Peter J. Hammond, 2023. "Roberts’ weak welfarism theorem: a minor correction," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(1), pages 121-134, January.
    2. Campbell, Donald E. & Kelly, Jerry S., 2010. "Strategy-proofness and weighted voting," Mathematical Social Sciences, Elsevier, vol. 60(1), pages 15-23, July.
    3. 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.
    4. Paul H. Edelman & John A. Weymark, 2021. "Dominant strategy implementability and zero length cycles," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(4), pages 1091-1120, November.
    5. Carbajal, Juan Carlos & McLennan, Andrew & Tourky, Rabee, 2013. "Truthful implementation and preference aggregation in restricted domains," Journal of Economic Theory, Elsevier, vol. 148(3), pages 1074-1101.
    6. De, Parikshit & Mitra, Manipushpak, 2019. "Balanced implementability of sequencing rules," Games and Economic Behavior, Elsevier, vol. 118(C), pages 342-353.
    7. Philippe Jehiel & Moritz Meyer-ter-Vehn & Benny Moldovanu, 2008. "Ex-post implementation and preference aggregation via potentials," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(3), pages 469-490, December.
    8. Katherine Cuff & Sunghoon Hong & Jesse Schwartz & Quan Wen & John Weymark, 2012. "Dominant strategy implementation with a convex product space of valuations," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(2), pages 567-597, July.
    9. 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.
    10. Kumar, Ujjwal & Roy, Souvik, 2021. "Local incentive compatibility in ordinal type-spaces," MPRA Paper 110994, University Library of Munich, Germany.
    11. Thierry Marchant & Debasis Mishra, 2015. "Mechanism design with two alternatives in quasi-linear environments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(2), pages 433-455, February.
    12. Jacob K. Goeree & Alexey Kushnir, 2011. "On the equivalence of Bayesian and dominant strategy implementation in a general class of social choice problems," ECON - Working Papers 021, Department of Economics - University of Zurich.
    13. Ryoto Ando & Kei Kimura & Taiki Todo & Makoto Yokoo, 2024. "Parameterized Voter Relevance in Facility Location Games with Tree-Shaped Invitation Graphs," Papers 2411.05574, arXiv.org, revised Nov 2024.

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