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Focused power: Experiments, the Shapley-Shubik power index, and focal points

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  • Geller, Chris R.
  • Mustard, Jamie
  • Shahwan, Ranya

Abstract

Experiments evaluate the fit of human behaviour to the Shapley-Shubik power index (SSPI), a formula of voter power. Groups of six subjects with differing votes divide a fixed purse by majority rule in online chat rooms. Earnings proxy for measured power. Chat rooms and processes for selecting subjects reduce or eliminate extraneous forces. Logrolling remains as the primary political force. Subjects' initial proposals for division of the purse allow measurement of effects from focal points and transaction costs. Divisions of purses, net of those effects, closely fit the SSPI, averaging 1.033 of their SSPI values. The SSPI can serve as a control for power imbedded in voting blocs, permitting fuller analysis of other factors that affect political outcomes.

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  • Geller, Chris R. & Mustard, Jamie & Shahwan, Ranya, 2013. "Focused power: Experiments, the Shapley-Shubik power index, and focal points," Economics Discussion Papers 2013-42, Kiel Institute for the World Economy (IfW Kiel).
    • Handle: RePEc:zbw:ifwedp:201342
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    1. Navarro, Noemí & Veszteg, Róbert F., 2011. "Demonstration of power: Experimental results on bilateral bargaining," Journal of Economic Psychology, Elsevier, vol. 32(5), pages 762-772.
    2. Taylor, Alan & Zwicker, William, 1997. "Interval measures of power," Mathematical Social Sciences, Elsevier, vol. 33(1), pages 23-74, February.
    3. Manfred J. Holler & Stefan Napel, 2004. "Monotonicity of power and power measures," Theory and Decision, Springer, vol. 56(2_2), pages 93-111, February.
    4. Nikola Tarashev & Claudio Borio & Kostas Tsatsaronis, 2009. "The systemic importance of financial institutions," BIS Quarterly Review, Bank for International Settlements, September.
    5. Ken Binmore, 2007. "Does Game Theory Work? The Bargaining Challenge," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262026074, December.
    6. Gelman, Andrew & Katz, Jonathan N. & Bafumi, Joseph, 2004. "Standard Voting Power Indexes Do Not Work: An Empirical Analysis," British Journal of Political Science, Cambridge University Press, vol. 34(4), pages 657-674, October.
    7. Shubik, Martin, 2002. "Game theory and experimental gaming," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 62, pages 2327-2351, Elsevier.
    8. R J Johnston, 1977. "National Sovereignty and National Power in European Institutions," Environment and Planning A, , vol. 9(5), pages 569-577, May.
    9. Tijs, S.H. & Brânzei, R., 2004. "Cost sharing in a joint project," Other publications TiSEM 38dc89bd-b4ec-43a6-bdef-a, Tilburg University, School of Economics and Management.
    10. Smith, Vernon L, 1982. "Microeconomic Systems as an Experimental Science," American Economic Review, American Economic Association, vol. 72(5), pages 923-955, December.
    11. Sugden, Robert, 1995. "A Theory of Focal Points," Economic Journal, Royal Economic Society, vol. 105(430), pages 533-550, May.
    12. André Casajus & Helfried Labrenz & Tobias Hiller, 2009. "Majority shareholder protection by variable qualified majority rules," European Journal of Law and Economics, Springer, vol. 28(1), pages 9-18, August.
    13. Dan S. Felsenthal & Moshé Machover, 1998. "The Measurement of Voting Power," Books, Edward Elgar Publishing, number 1489.
    14. Shapley, L. S. & Shubik, Martin, 1954. "A Method for Evaluating the Distribution of Power in a Committee System," American Political Science Review, Cambridge University Press, vol. 48(3), pages 787-792, September.
    15. R J Johnston, 1978. "On the Measurement of Power: Some Reactions to Laver," Environment and Planning A, , vol. 10(8), pages 907-914, August.
    16. Saari, Donald G. & Sieberg, Katri K., 2001. "Some Surprising Properties of Power Indices," Games and Economic Behavior, Elsevier, vol. 36(2), pages 241-263, August.
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    Cited by:

    1. Luca Alfieri & Nino Kokashvili, 2020. "Financial Safety Nets In East Asia And Europe: A Political Economy Assessment," University of Tartu - Faculty of Economics and Business Administration Working Paper Series 121, Faculty of Economics and Business Administration, University of Tartu (Estonia).

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    More about this item

    Keywords

    social choice; public choice; elections; bargaining; coalitions; politico economic; voting power; conflict; election; collective action; majority rule;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

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