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The Buchanan-Tullock model: Some extensions

Author

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  • Milton Kafoglis
  • Richard Cebula

Abstract

The original Buchanan-Tullock formulation of collective decision-making costs may be expanded to: $$C_i =C_i (N_a ,N,H)$$ $$D_i =D_i (N_a ,H)$$ $$G_i =G_i (N,H)$$ Analysis of the effects of group size (N), decision rules (N a ), and homogeneity (H) on external costs (C i ), decision-making costs (D i ), and welfare gains (G i ) can be organized geometrically. Although this analysis extends the Buchanan-Tullock model and suggests a means of geometric manipulation that may be useful in conceptualizing problems of institutional organization much remains to be done. The conditions for optimal group size, degree of heterogeneity, decision rules, and the like require a more extensive effort. Although the general relationships embodied in the external cost and decision-cost functions seem logical and conform to casual observation, their properties — limits, slopes, etc. — have not been developed rigorously or tested empirically; nor have all the insights of other social scientists been brought to bear. Copyright Martinus Nijhoff Publishers bv 1981

Suggested Citation

  • Milton Kafoglis & Richard Cebula, 1981. "The Buchanan-Tullock model: Some extensions," Public Choice, Springer, vol. 36(1), pages 179-186, January.
    • Handle: RePEc:kap:pubcho:v:36:y:1981:i:1:p:179-186
    DOI: 10.1007/BF00163783
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    Cited by:

    1. Serguei Kaniovski & Dennis Mueller, 2006. "Community size, heterogeneity and voter turnouts," Public Choice, Springer, vol. 129(3), pages 399-415, December.
    2. Richard J. Cebula & Gordon Tullock, 2006. "An Extension of the Rational Voter Model," Chapters, in: Attiat F. Ott & Richard J. Cebula (ed.), The Elgar Companion to Public Economics, chapter 15, Edward Elgar Publishing.
    3. Andreas Kyriacou, 2009. "Decision rules, membership and political centralization in the European Union," European Journal of Law and Economics, Springer, vol. 27(2), pages 143-158, April.
    4. Karol Boudreaux & Jody Lipford, 1998. "Group Size, Group Heterogeneity, and Voting Rules: An Application of the Buchanan-Tullock Model to the European Union," European Journal of Law and Economics, Springer, vol. 5(2), pages 133-152, March.
    5. J. Faíña-Medín & Antonio García-Lorenzo & Jesús López-Rodríguez, 2005. "The Powers of The Central Governments and the Problems of Enlarging and Deepening the European Union: An Essay of Constitutional Political Economy," Constitutional Political Economy, Springer, vol. 16(4), pages 369-386, December.
    6. Tew, Bernard V. & Broder, Josef M. & Musser, Wesley N. & Centner, Terence J., 1985. "Market Failure in Multiphase Electric Power Development for Agricultural Irrigation," Journal of Agricultural and Applied Economics, Cambridge University Press, vol. 17(2), pages 57-66, December.
    7. Richard J. Cebula, 2008. "Does Direct Democracy Increase Voter Turnout? Evidence from the 2004 General Election," American Journal of Economics and Sociology, Wiley Blackwell, vol. 67(4), pages 629-644, October.
    8. Steven Maser, 1985. "Demographic factors affecting constitutional decisions: the case of municipal charters," Public Choice, Springer, vol. 47(1), pages 121-162, January.
    9. J. Faíña & Antonio García-Lorenzo & Jesús López-Rodríguez, 2006. "European integration from the agency theory perspective," European Journal of Law and Economics, Springer, vol. 21(1), pages 5-12, January.
    10. A. Hamlin, 1984. "Constitutional control of processes and their outcomes," Public Choice, Springer, vol. 42(2), pages 133-145, January.
    11. Robert A. Blewett, 1983. "Fiscal Externalities and Residential Growth Controls: a Theory-of-Clubs Perspective," Public Finance Review, , vol. 11(1), pages 3-20, January.
    12. Minjung Kim & Do Hyun Park, 2020. "A model and the behavioral implications of the calculus of consent: The dilemma of public choice before public choice," PLOS ONE, Public Library of Science, vol. 15(12), pages 1-18, December.
    13. Justin Isaacs & David Laband, 1999. "Within-group homogeneity and exit in religious clubs," Applied Economics Letters, Taylor & Francis Journals, vol. 6(12), pages 805-808.
    14. Robert Blewett & Roger Congleton, 1983. "Non-global social contracts: A note on inefficient social institutions," Public Choice, Springer, vol. 41(3), pages 441-448, January.
    15. Cebula, Richard & Coombs, Christopher, 2008. "Factors Influencing Interregional Differentials in the Voter Participation Rate in the U.S., 2006," MPRA Paper 56786, University Library of Munich, Germany.
    16. Josef Broder & A. Schmid, 1983. "Public choice in local judicial systems," Public Choice, Springer, vol. 40(1), pages 7-19, January.

    More about this item

    JEL classification:

    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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