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Freedom Of Choice And Weighted Monotonicity Of Power

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  • José María Alonso‐Meijide
  • Manfred J. Holler

Abstract

The paper discusses the substitution of mergeability by the weighted monotonicity property in the definition of the Public Good Index. The cardinality of sets, implicit to the measurement of power, can thus be related to comparing sets and relations of counting and set inclusion. This allows for the application of results from the measurement of power to the specification of freedom of choice and thereby to connect the ‘world of agents’ with the ‘world of opportunities’. The relationship between weighted monotonicity and constrained monotonicity is specified.

Suggested Citation

  • José María Alonso‐Meijide & Manfred J. Holler, 2009. "Freedom Of Choice And Weighted Monotonicity Of Power," Metroeconomica, Wiley Blackwell, vol. 60(4), pages 571-583, November.
    • Handle: RePEc:bla:metroe:v:60:y:2009:i:4:p:571-583
    DOI: 10.1111/j.1467-999X.2008.00346.x
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    References listed on IDEAS

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    1. Steven J. Brams & Peter C. Fishburn, 1996. "Minimal winning coalitions in weighted-majority voting games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(4), pages 397-417.
    2. Sudgen, Robert, 1998. "The Metric of Opportunity," Economics and Philosophy, Cambridge University Press, vol. 14(2), pages 307-337, October.
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    5. Manfred J. Holler & Stefan Napel, 2004. "Monotonicity of power and power measures," Theory and Decision, Springer, vol. 56(2_2), pages 93-111, February.
    6. Sen, Amartya, 1988. "Freedom of choice : Concept and content," European Economic Review, Elsevier, vol. 32(2-3), pages 269-294, March.
    7. Steven J. Brams & Peter C. Fishburn, 1995. "When is Size a Liability?," Journal of Theoretical Politics, , vol. 7(3), pages 301-316, July.
    8. 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.
    9. Alonso-Meijide, J.M. & Casas-Mendez, B. & Holler, M.J. & Lorenzo-Freire, S., 2008. "Computing power indices: Multilinear extensions and new characterizations," European Journal of Operational Research, Elsevier, vol. 188(2), pages 540-554, July.
    10. Manfred Holler & Rie Ono & Frank Steffen, 2001. "Constrained Monotonicity and the Measurement of Power," Theory and Decision, Springer, vol. 50(4), pages 383-395, June.
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