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The Law of k/n: The Effect of Chamber Size on Government Spending in Bicameral Legislatures

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  • CHEN, JOWEI
  • MALHOTRA, NEIL

Abstract

Recent work in political economics has examined the positive relationship between legislative size and spending, which Weingast et al. (1981) formalized as the law of 1/n. However, empirical tests of this theory have produced a pattern of divergent findings. The positive relationship between seats and spending appears to hold consistently for unicameral legislatures and for upper chambers in bicameral legislatures but not for lower chambers. We bridge this gap between theory and empirics by extending Weingast et al.'s model to account for bicameralism in the context of a Baron–Ferejohn bargaining game. Our comparative statics predict, and empirical data from U.S. state legislatures corroborate, that the size of the upper chamber (n) is a positive predictor of expenditure, whereas the ratio of lower-to-upper chamber seats (k) exhibits a negative effect. We refer to these relationships as the law of k/n, as the two variables influence spending in opposite directions.

Suggested Citation

  • Chen, Jowei & Malhotra, Neil, 2007. "The Law of k/n: The Effect of Chamber Size on Government Spending in Bicameral Legislatures," American Political Science Review, Cambridge University Press, vol. 101(4), pages 657-676, November.
    • Handle: RePEc:cup:apsrev:v:101:y:2007:i:04:p:657-676_07
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    Cited by:

    1. Raveh, Ohad & Tsur, Yacov, 2020. "Resource windfalls and public debt: A political economy perspective," European Economic Review, Elsevier, vol. 123(C).
    2. Ohad Raveh & Yacov Tsur, 2018. "Resource Windfalls and Public Debt: The Role of Political Myopia," OxCarre Working Papers 205, Oxford Centre for the Analysis of Resource Rich Economies, University of Oxford.
    3. Paul Pecorino, 2018. "Supermajority rule, the law of 1/n, and government spending: a synthesis," Public Choice, Springer, vol. 175(1), pages 19-36, April.
    4. Jowei Chen, 2010. "The Effect of Electoral Geography on Pork Barreling in Bicameral Legislatures," American Journal of Political Science, John Wiley & Sons, vol. 54(2), pages 301-322, April.
    5. Jon X. Eguia & Antonio Nicolò, 2011. "On the Efficiency of Partial Information in Elections," Carlo Alberto Notebooks 234, Collegio Carlo Alberto.
    6. Dongwon Lee & Sangwon Park, 2018. "Court-ordered redistricting and the law of 1/n," Public Choice, Springer, vol. 176(3), pages 507-528, September.
    7. Alptekin, Huzeyfe & Freire, Danilo & Mignozzetti, Umberto Guarnier & Roman, Catarina, 2020. "The Effect of Legislature Size on Public Spending: A Meta-Analysis," SocArXiv xf7wp, Center for Open Science.
    8. Tiberiu Dragu & Jonathan Rodden, 2010. "Representation and regional redistribution in federations," Working Papers 2010/16, Institut d'Economia de Barcelona (IEB).
    9. Tiberiu Dragu & Jonathan Rodden, 2010. "Representation and regional redistribution in federations," Working Papers 2010/16, Institut d'Economia de Barcelona (IEB).
    10. Raveh, Ohad & Tsur, Yacov, 2020. "Reelection, growth and public debt," European Journal of Political Economy, Elsevier, vol. 63(C).
    11. George R. Crowley, 2019. "The Law of 1/n Revisited: Distributive Politics, Legislature Size, and the Costs of Collective Action," Southern Economic Journal, John Wiley & Sons, vol. 86(2), pages 667-690, October.
    12. Dongwon Lee, 2016. "Supermajority rule and bicameral bargaining," Public Choice, Springer, vol. 169(1), pages 53-75, October.
    13. De Santo, Alessia & Le Maux, Benoît, 2023. "On the optimal size of legislatures: An illustrated literature review," European Journal of Political Economy, Elsevier, vol. 77(C).
    14. Ohad Raveh & Yacov Tsur, 2017. "Political Myopia, Public Debt," OxCarre Working Papers 200, Oxford Centre for the Analysis of Resource Rich Economies, University of Oxford.
    15. Dongwon Lee, 2015. "Supermajority rule and the law of 1/n," Public Choice, Springer, vol. 164(3), pages 251-274, September.
    16. George R. Crowley, 2015. "Local Intergovernmental Competition and the Law of 1/n," Southern Economic Journal, John Wiley & Sons, vol. 81(3), pages 742-768, January.
    17. Patricia Funk & Christina Gathmann, 2010. "How do Electoral Systems Affect Fiscal Policy? Evidence from State and Local Governments, 1890 to 2005," CESifo Working Paper Series 2958, CESifo.

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