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Sequential legislative lobbying

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  • Michel Le Breton
  • Peter Sudhölter
  • Vera Zaporozhets

Abstract

In this paper, we analyze the equilibrium of a sequential game-theoretical model of lobbying, due to Groseclose and Snyder (1996), describing a legislature that vote over two alternatives, where two opposing lobbies, Lobby 0 and Lobby 1, compete by bidding for legislators’ votes. In this model, the lobbyist moving first suffers from a second mover advantage and will make an offer to a panel of legislators only if it deters any credible counter-reaction from his opponent, i.e., if he anticipates to win the battle. This paper departs from the existing literature in assuming that legislators care about the consequence of their votes rather than their votes per se. Our main focus is on the calculation of the smallest budget that he needs to win the game and on the distribution of this budget across the legislators. We study the impact of the key parameters of the game on these two variables and show the connection of this problem with the combinatorics of sets and notions from cooperative game theory.
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Suggested Citation

  • Michel Le Breton & Peter Sudhölter & Vera Zaporozhets, 2012. "Sequential legislative lobbying," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(2), pages 491-520, July.
    • Handle: RePEc:spr:sochwe:v:39:y:2012:i:2:p:491-520
    DOI: 10.1007/s00355-012-0660-8
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    1. Dennis Leech, 2002. "Voting Power in the Governance of the International Monetary Fund," Annals of Operations Research, Springer, vol. 109(1), pages 375-397, January.
    2. Le Breton, Michel & Montero, Maria & Zaporozhets, Vera, 2012. "Voting power in the EU council of ministers and fair decision making in distributive politics," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 159-173.
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    6. Dekel, Eddie & Jackson, Matthew O. & Wolinsky, Asher, 2009. "Vote Buying: Legislatures and Lobbying," Quarterly Journal of Political Science, now publishers, vol. 4(2), pages 103-128, July.
    7. Dreher, Axel & Vreeland, James Raymond, 2011. "Buying votes and international organizations," University of Göttingen Working Papers in Economics 123, University of Goettingen, Department of Economics.
    8. MichelLe Breton & Vera Zaporozhets, 2010. "Sequential Legislative Lobbying under Political Certainty," Economic Journal, Royal Economic Society, vol. 120(543), pages 281-312, March.
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    13. Le Breton, Michel & Zaporozhets, Vera, 2007. "Legislative Lobbying under Political Uncertainty," IDEI Working Papers 493, Institut d'Économie Industrielle (IDEI), Toulouse.
    14. Leech, D., 2000. "Members' Voting Power in the Governance of the International Monetary Fund," The Warwick Economics Research Paper Series (TWERPS) 583, University of Warwick, Department of Economics.
    15. John Morgan & Felix Várdy, 2012. "Negative Vote Buying and the Secret Ballot," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 28(4), pages 818-849, October.
    16. repec:ete:ceswps:ces0710 is not listed on IDEAS
    17. Carreras, Francesc & Freixas, Josep, 2004. "A power analysis of linear games with consensus," Mathematical Social Sciences, Elsevier, vol. 48(2), pages 207-221, September.
    18. Leech, Dennis, 2002. "Voting Power In The Governance Of The International Monetary Fund," Economic Research Papers 269354, University of Warwick - Department of Economics.
    19. M. Maschler & B. Peleg & L. S. Shapley, 1979. "Geometric Properties of the Kernel, Nucleolus, and Related Solution Concepts," Mathematics of Operations Research, INFORMS, vol. 4(4), pages 303-338, November.
    20. John Morgan & Felix Várdy, 2011. "On the buyability of voting bodies," Journal of Theoretical Politics, , vol. 23(2), pages 260-287, April.
    21. Groseclose, Tim & Snyder, James M., 1996. "Buying Supermajorities," American Political Science Review, Cambridge University Press, vol. 90(2), pages 303-315, June.
    22. Bräuninger, Thomas, 2003. "When Simple Voting Doesn’t Work: Multicameral Systems for the Representation and Aggregation of Interests in International Organizations," British Journal of Political Science, Cambridge University Press, vol. 33(4), pages 681-703, October.
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    1. Le Breton, Michel & Montero, Maria & Zaporozhets, Vera, 2012. "Voting power in the EU council of ministers and fair decision making in distributive politics," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 159-173.
    2. Matter, Ulrich & Roberti, Paolo & Slotwinski, Michaela, 2019. "Vote buying in the US Congress," ZEW Discussion Papers 19-052, ZEW - Leibniz Centre for European Economic Research.
    3. Schneider, Maik T., 2014. "Interest-group size and legislative lobbying," Journal of Economic Behavior & Organization, Elsevier, vol. 106(C), pages 29-41.
    4. David P Baron, 2019. "Lobbying dynamics," Journal of Theoretical Politics, , vol. 31(3), pages 403-452, July.
    5. Richard Cothren & Ravi Radhakrishnan, 2018. "Productivity growth and welfare in a model of allocative inefficiency," Journal of Economics, Springer, vol. 123(3), pages 277-298, April.
    6. Jan Zápal, 2017. "Crafting consensus," Public Choice, Springer, vol. 173(1), pages 169-200, October.
    7. Maik T. Schneider, 2010. "The Larger the Better? The Role of Interest-Group Size in Legislative Lobbying," CER-ETH Economics working paper series 10/126, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
    8. Le Breton, Michel & Montero, Maria & Zaporozhets, Vera, 2012. "Voting power in the EU council of ministers and fair decision making in distributive politics," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 159-173.
    9. M. Christian Lehmann, 2020. "Aiding refugees, aiding peace?," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(5), pages 1687-1704, September.
    10. Chen, Ying & Zápal, Jan, 2022. "Sequential vote buying," Journal of Economic Theory, Elsevier, vol. 205(C).

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    More about this item

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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