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The Structure of Heresthetical Power

Author

Listed:
  • Scott Moser

    (Nuffield College, University of Oxford, scoot.moser@nuffield.ox.ac.uk)

  • John W. Patty

    (Harvard University, jpatty@gov.harvar.edu)

  • Elizabeth Maggie Penn

    (Harvard University, epenn@gov.harvard.edu)

Abstract

This article considers manipulation of collective choice — in such environments, a potential alternative is powerful only to the degree that its introduction can affect the collective decision. Using the Banks set (Banks, 1985), we present and characterize alternatives that can, and those that can not, affect sophisticated collective decision-making. Along with offering two substantive findings about political manipulation and a link between our results and Riker's concept of heresthetic , we define a new tournament solution concept that refines the Banks set, which we refer to as the heresthetically stable set .

Suggested Citation

  • Scott Moser & John W. Patty & Elizabeth Maggie Penn, 2009. "The Structure of Heresthetical Power," Journal of Theoretical Politics, , vol. 21(2), pages 139-159, April.
  • Handle: RePEc:sae:jothpo:v:21:y:2009:i:2:p:139-159
    DOI: 10.1177/0951629808100761
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    References listed on IDEAS

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    1. Bhaskar Dutta & Matthew O. Jackson & Michel Le Breton, 2004. "Equilibrium agenda formation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 23(1), pages 21-57, August.
    2. Miller, Nicholas R & Grofman, Bernard & Feld, Scott L, 1990. "The Structure of the Banks Set," Public Choice, Springer, vol. 66(3), pages 243-251, September.
    3. Dutta, Bhaskar, 1988. "Covering sets and a new condorcet choice correspondence," Journal of Economic Theory, Elsevier, vol. 44(1), pages 63-80, February.
    4. Dutta, Bhaskar & Jackson, Matthew O. & Le Breton, Michel, 2002. "Voting by Successive Elimination and Strategic Candidacy," Journal of Economic Theory, Elsevier, vol. 103(1), pages 190-218, March.
    5. Elizabeth Penn, 2006. "Alternate Definitions of the Uncovered Set and Their Implications," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(1), pages 83-87, August.
    6. Dutta, Bhaskar & Jackson, Matthew O & Le Breton, Michel, 2001. "Strategic Candidacy and Voting Procedures," Econometrica, Econometric Society, vol. 69(4), pages 1013-1037, July.
    7. Miller, Nicholas R & Grofman, Bernard & Feld, Scott L, 1990. "Cycle Avoiding Trajectories, Strategic Agendas, and the Duality of Memory and Foresight: An Informal Exposition," Public Choice, Springer, vol. 64(3), pages 265-277, March.
    8. Bogomolnaia, Anna & Laslier, Jean-Francois, 2007. "Euclidean preferences," Journal of Mathematical Economics, Elsevier, vol. 43(2), pages 87-98, February.
    9. Gilbert Laffond & Jean Lainé & Jean-François Laslier, 1996. "Composition-consistent tournament solutions and social choice functions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(1), pages 75-93, January.
    10. McKelvey, Richard D., 1976. "Intransitivities in multidimensional voting models and some implications for agenda control," Journal of Economic Theory, Elsevier, vol. 12(3), pages 472-482, June.
    11. Elizabeth Penn, 2006. "The Banks Set in Infinite Spaces," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(3), pages 531-543, December.
    12. Mark Fey, 2008. "Choosing from a large tournament," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(2), pages 301-309, August.
    13. Austen-Smith, David, 1987. "Sophisticated Sincerity: Voting Over Endogenous Agendas," American Political Science Review, Cambridge University Press, vol. 81(4), pages 1323-1330, December.
    14. Riker, William H., 1980. "Implications from the Disequilibrium of Majority Rule for the Study of Institutions," American Political Science Review, Cambridge University Press, vol. 74(2), pages 432-446, June.
    15. Laffond G. & Laslier J. F. & Le Breton M., 1993. "The Bipartisan Set of a Tournament Game," Games and Economic Behavior, Elsevier, vol. 5(1), pages 182-201, January.
    16. Gerhard J. Woeginger, 2003. "Banks winners in tournaments are difficult to recognize," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 20(3), pages 523-528, June.
    17. McKelvey, Richard D. & Niemi, Richard G., 1978. "A multistage game representation of sophisticated voting for binary procedures," Journal of Economic Theory, Elsevier, vol. 18(1), pages 1-22, June.
    18. Bell, Colin E, 1981. "A Random Voting Graph Almost Surely Has a Hamiltonian Cycle When the Number of Alternatives Is Large," Econometrica, Econometric Society, vol. 49(6), pages 1597-1603, November.
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    Cited by:

    1. John W. Patty & Elizabeth Maggie Penn, 2019. "A defense of Arrow’s independence of irrelevant alternatives," Public Choice, Springer, vol. 179(1), pages 145-164, April.

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