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Arrow’s Theorem and its descendants

In: Handbook of Social Choice and Voting

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  • Elizabeth Maggie Penn

Abstract

This Handbook provides an overview of interdisciplinary research related to social choice and voting that is intended for a broad audience. Expert contributors from various fields present critical summaries of the existing literature, including intuitive explanations of technical terminology and well-known theorems, suggesting new directions for research.

Suggested Citation

  • 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.
    • Handle: RePEc:elg:eechap:15584_14
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    References listed on IDEAS

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    1. Kevin W. S. Roberts, 1980. "Social Choice Theory: The Single-profile and Multi-profile Approaches," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(2), pages 441-450.
    2. Sen, Amartya & Pattanaik, Prasanta K., 1969. "Necessary and sufficient conditions for rational choice under majority decision," Journal of Economic Theory, Elsevier, vol. 1(2), pages 178-202, August.
    3. Donald J. Brown, 1975. "Aggregation of Preferences," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 89(3), pages 456-469.
    4. repec:bla:econom:v:38:y:1971:i:152:p:413-20 is not listed on IDEAS
    5. Muller, Eitan & Satterthwaite, Mark A., 1977. "The equivalence of strong positive association and strategy-proofness," Journal of Economic Theory, Elsevier, vol. 14(2), pages 412-418, April.
    6. Satterthwaite, Mark Allen, 1975. "Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions," Journal of Economic Theory, Elsevier, vol. 10(2), pages 187-217, April.
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    9. repec:bla:econom:v:43:y:1976:i:169:p:59-66 is not listed on IDEAS
    10. Patty,John W. & Penn,Elizabeth Maggie, 2014. "Social Choice and Legitimacy," Cambridge Books, Cambridge University Press, number 9780521138338, January.
    11. Robert P. Parks, 1976. "An Impossibility Theorem for Fixed Preferences: A Dictatorial Bergson-Samuelson Welfare Function," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 43(3), pages 447-450.
    12. Patty,John W. & Penn,Elizabeth Maggie, 2014. "Social Choice and Legitimacy," Cambridge Books, Cambridge University Press, number 9780521191012, January.
    13. Schofield, Norman, 1984. "Social equilibrium and cycles on compact sets," Journal of Economic Theory, Elsevier, vol. 33(1), pages 59-71, June.
    14. Blair, Douglas H & Pollak, Robert A, 1982. "Acyclic Collective Choice Rules," Econometrica, Econometric Society, vol. 50(4), pages 931-943, July.
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    16. Young, H. P., 1974. "An axiomatization of Borda's rule," Journal of Economic Theory, Elsevier, vol. 9(1), pages 43-52, September.
    17. Sen, Amartya K, 1977. "On Weights and Measures: Informational Constraints in Social Welfare Analysis," Econometrica, Econometric Society, vol. 45(7), pages 1539-1572, October.
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