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A systematic approach to the construction of non-empty choice sets

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  • John Duggan

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  • John Duggan, 2007. "A systematic approach to the construction of non-empty choice sets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(3), pages 491-506, April.
    • Handle: RePEc:spr:sochwe:v:28:y:2007:i:3:p:491-506
    DOI: 10.1007/s00355-006-0176-1
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    References listed on IDEAS

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    1. Michel Le Breton & John Duggan, 2001. "Mixed refinements of Shapley's saddles and weak tournaments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 65-78.
    2. Banks, Jeffrey S. & Duggan, John & Le Breton, Michel, 2006. "Social choice and electoral competition in the general spatial model," Journal of Economic Theory, Elsevier, vol. 126(1), pages 194-234, January.
    3. Thomas Schwartz, 2001. "From Arrow to cycles, instability, and chaos by untying alternatives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 1-22.
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    Citations

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    Cited by:

    1. Nehring, Klaus & Pivato, Marcus & Puppe, Clemens, 2014. "The Condorcet set: Majority voting over interconnected propositions," Journal of Economic Theory, Elsevier, vol. 151(C), pages 268-303.
    2. SPRUMONT, Yves & EHLERS, Lars, 2005. "Top-Cycle Rationalizability," Cahiers de recherche 2005-20, Universite de Montreal, Departement de sciences economiques.
    3. Kumabe, Masahiro & Mihara, H. Reiju, 2011. "Preference aggregation theory without acyclicity: The core without majority dissatisfaction," Games and Economic Behavior, Elsevier, vol. 72(1), pages 187-201, May.
    4. Nicolas Houy, 2011. "Common characterizations of the untrapped set and the top cycle," Theory and Decision, Springer, vol. 70(4), pages 501-509, April.
    5. Nehring, Klaus & Pivato, Marcus & Puppe, Clemens, 2011. "Condorcet admissibility: Indeterminacy and path-dependence under majority voting on interconnected decisions," MPRA Paper 32434, University Library of Munich, Germany.
    6. Fuad Aleskerov & Andrey Subochev, 2013. "Modeling optimal social choice: matrix-vector representation of various solution concepts based on majority rule," Journal of Global Optimization, Springer, vol. 56(2), pages 737-756, June.
    7. John Duggan, 2019. "Weak rationalizability and Arrovian impossibility theorems for responsive social choice," Public Choice, Springer, vol. 179(1), pages 7-40, April.
    8. Jean-François Laslier, 2011. "And the loser is... Plurality Voting," Working Papers hal-00609810, HAL.
    9. Luc, Dinh The & Soubeyran, Antoine, 2013. "Variable preference relations: Existence of maximal elements," Journal of Mathematical Economics, Elsevier, vol. 49(4), pages 251-262.
    10. Andrikopoulos, Athanasios, 2009. "Characterization of the Generalized Top-Choice Assumption (Smith) set," MPRA Paper 14897, University Library of Munich, Germany.
    11. Fuad Aleskerov & Andrey Subochev, 2016. "Matrix-vector representation of various solution concepts," Papers 1607.02378, arXiv.org.
    12. Subochev, Andrey, 2008. "Dominant, weakly stable, uncovered sets: properties and extensions," MPRA Paper 53421, University Library of Munich, Germany.
    13. 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.
    14. Joseph, Rémy-Robert, 2010. "Making choices with a binary relation: Relative choice axioms and transitive closures," European Journal of Operational Research, Elsevier, vol. 207(2), pages 865-877, December.

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