IDEAS home Printed from https://ideas.repec.org/a/bla/metroe/v60y2009i4p571-583.html
   My bibliography  Save this article

Freedom Of Choice And Weighted Monotonicity Of Power

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1467-999X.2008.00346.x
    Download Restriction: no
    File URL: https://libkey.io/10.1111/j.1467-999X.2008.00346.x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    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. Manfred J. Holler & Stefan Napel, 2004. "Monotonicity of power and power measures," Theory and Decision, Springer, vol. 56(2_2), pages 93-111, February.
    3. Steven J. Brams & Peter C. Fishburn, 1995. "When is Size a Liability?," Journal of Theoretical Politics, , vol. 7(3), pages 301-316, July.
    4. Sudgen, Robert, 1998. "The Metric of Opportunity," Economics and Philosophy, Cambridge University Press, vol. 14(2), pages 307-337, October.
    5. Marcin Malawski, 2004. "``Counting'' power indices for games with a priori unions," Theory and Decision, Springer, vol. 56(2_2), pages 125-140, February.
    6. Prasanta K. PATTANAIK & Yongsheng XU, 1990. "On Ranking Opportunity Sets in Terms of Freedom of Choice," Discussion Papers (REL - Recherches Economiques de Louvain) 1990036, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    7. 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.
    8. 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.
    9. Sen, Amartya, 1988. "Freedom of choice : Concept and content," European Economic Review, Elsevier, vol. 32(2-3), pages 269-294, March.
    10. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ernesto Screpanti, 2006. "Taxation, Social Goods And The Distribution Of Freedom," Metroeconomica, Wiley Blackwell, vol. 57(1), pages 1-12, February.
    2. 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.
    3. Manfred J. Holler, 1998. "Two Stories, One Power Index," Journal of Theoretical Politics, , vol. 10(2), pages 179-190, April.
    4. Michela Chessa, 2014. "A generating functions approach for computing the Public Good index efficiently," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(2), pages 658-673, July.
    5. Mika WidgrÚn, 2002. "On the Probablistic Relationship between the Public Good Index and the Normalized Bannzhaf Index," Homo Oeconomicus, Institute of SocioEconomics, vol. 19, pages 373-386.
    6. Dan S. Felsenthal, 2016. "A Well-Behaved Index of a Priori P-Power for Simple N-Person Games," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 33(4), pages 367-381, December.
    7. Suzumura, Kotaro & Xu, Yongsheng, 2001. "Characterizations of Consequentialism and Nonconsequentialism," Journal of Economic Theory, Elsevier, vol. 101(2), pages 423-436, December.
    8. Barbera, S. & Bossert, W. & Pattanaik, P.K., 2001. "Ranking Sets of Objects," Cahiers de recherche 2001-02, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    9. Josep Freixas & Montserrat Pons, 2017. "Using the Multilinear Extension to Study Some Probabilistic Power Indices," Group Decision and Negotiation, Springer, vol. 26(3), pages 437-452, May.
    10. Baharad, Eyal & Nitzan, Shmuel, 2003. "Essential alternatives and set-dependent preferences--an axiomatic approach," Mathematical Social Sciences, Elsevier, vol. 45(2), pages 121-129, April.
    11. Tadenuma, Koichi & Xu, Yongsheng, 2012. "Extensions of the Fundamental Welfare Theorems in a Non-welfaristic Framework," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 53(1), pages 107-120, June.
    12. Sebastien Courtin & Bertrand Tchantcho, 2019. "Public Good Indices for Games with Several Levels of Approval," Post-Print halshs-02319527, HAL.
    13. Geir Asheim & Carl Claussen & Tore Nilssen, 2006. "Majority voting leads to unanimity," International Journal of Game Theory, Springer;Game Theory Society, vol. 35(1), pages 91-110, December.
    14. Serge-Christophe Kolm, 2003. "Macrojustice : distribution, impôts et transferts optimaux," IDEP Working Papers 0305, Institut d'economie publique (IDEP), Marseille, France.
    15. repec:hal:journl:dumas-00906152 is not listed on IDEAS
    16. Kong, Qianqian & Peters, Hans, 2023. "Power indices for networks, with applications to matching markets," European Journal of Operational Research, Elsevier, vol. 306(1), pages 448-456.
    17. Thomas Bräuninger & Thomas König, 2000. "Making Rules for Governing Global Commons," Journal of Conflict Resolution, Peace Science Society (International), vol. 44(5), pages 604-629, October.
    18. J. M. Alonso-Meijide & M. Álvarez-Mozos & M. G. Fiestras-Janeiro, 2017. "Power Indices and Minimal Winning Coalitions for Simple Games in Partition Function Form," Group Decision and Negotiation, Springer, vol. 26(6), pages 1231-1245, November.
    19. Gaetano Gaballo & Ernesto Savaglio, 2012. "On revealed diversity," Working Papers 254, ECINEQ, Society for the Study of Economic Inequality.
    20. Xu, Yongsheng, 2003. "On ranking compact and comprehensive opportunity sets," Mathematical Social Sciences, Elsevier, vol. 45(2), pages 109-119, April.
    21. Walter Bossert, 1998. "Opportunity Sets and the Measurement of Information," Discussion Papers 98/6, University of Nottingham, School of Economics.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bla:metroe:v:60:y:2009:i:4:p:571-583. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0026-1386 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.