IDEAS home Printed from https://ideas.repec.org/p/tin/wpaper/20120030.html

On the Measurement of Success and Satisfaction

Author

Listed:
  • René van den Brink

    (VU University Amsterdam)

  • Frank Steffen

    (The University of Liverpool Management School)

Abstract

This discussion paper led to a chapter in .Voting Power and Procedures: Essays in Honour of Dan Felsenthal and Moshé Machover', (eds. R. Fara, D. Leech, and M. Salles), pp 41-64, 2014. The main purpose of the present paper is to disentangle the mix-up of the notions of success and satisfaction which is prevailing in the voting power literature. We demonstrate that both notions are conceptually distinct, and discuss their relationship and measurement. We show that satisfaction contains success as one component, and that both coincide under the canonical set-up of a simultaneous decision-making mechanism as it is predominant in the voting power literature. However, we provide two examples of sequential decision-making mechanisms in order to illustrate the difference between success and satisfaction. In the context of the discussion of both notions we also address their relationship to different types of luck.

Suggested Citation

  • René van den Brink & Frank Steffen, 2012. "On the Measurement of Success and Satisfaction," Tinbergen Institute Discussion Papers 12-030/1, Tinbergen Institute.
  • Handle: RePEc:tin:wpaper:20120030
    as

    Download full text from publisher

    File URL: https://papers.tinbergen.nl/12030.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Nevison, Christopher H., 1982. "Structural satisfaction in simple games," Mathematical Social Sciences, Elsevier, vol. 3(4), pages 397-401, December.
    2. Annick Laruelle & Federico Valenciano, 2005. "Assessing success and decisiveness in voting situations," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 24(1), pages 171-197, January.
    3. John E. Roemer, 1986. "Equality of Resources Implies Equality of Welfare," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(4), pages 751-784.
    4. Federico Valenciano & Annick Laruelle & Ricardo Martínez, 2004. "Success Versus Decisiveness: Conceptual Discussion And Case Study," Working Papers. Serie AD 2004-30, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    5. René Brink & Agnieszka Rusinowska & Frank Steffen, 2013. "Measuring power and satisfaction in societies with opinion leaders: an axiomatization," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(3), pages 671-683, September.
    6. Madeleine O. Hosli & Moshé Machover, 2004. "The Nice Treaty and Voting Rules in the Council: A Reply to Moberg (2002)," Journal of Common Market Studies, Wiley Blackwell, vol. 42(3), pages 497-521, September.
    7. Dan S. Felsenthal & Moshé Machover, 1998. "The Measurement of Voting Power," Books, Edward Elgar Publishing, number 1489.
    8. René van den Brink & Agnieszka Rusinowska & Frank Steffen, 2009. "Measuring Power and Satisfaction in Societies with Opinion Leaders: Dictator and Opinion Leader Properties," Tinbergen Institute Discussion Papers 09-052/1, Tinbergen Institute.
    9. Pradeep Dubey & Lloyd S. Shapley, 1979. "Mathematical Properties of the Banzhaf Power Index," Mathematics of Operations Research, INFORMS, vol. 4(2), pages 99-131, May.
    10. René Brink & Frank Steffen, 2008. "Positional Power in Hierarchies," Springer Books, in: Matthew Braham & Frank Steffen (ed.), Power, Freedom, and Voting, chapter 4, pages 57-81, Springer.
    11. René Brink & Frank Steffen, 2012. "Axiomatizations of a positional power score and measure for hierarchies," Public Choice, Springer, vol. 151(3), pages 757-787, June.
    12. Laruelle,Annick & Valenciano,Federico, 2011. "Voting and Collective Decision-Making," Cambridge Books, Cambridge University Press, number 9780521182638.
    13. Matthew Braham, 2008. "Social Power and Social Causation: Towards a Formal Synthesis," Springer Books, in: Matthew Braham & Frank Steffen (ed.), Power, Freedom, and Voting, chapter 1, pages 1-21, Springer.
    14. repec:hal:pseose:hal-00756720 is not listed on IDEAS
    15. Keith M. Dowding, 1991. "Rational Choice And Political Power," Books, Edward Elgar Publishing, number 149.
    16. repec:cup:apsrev:v:63:y:1969:i:01:p:40-56_26 is not listed on IDEAS
    17. Annick Laruelle & Ricardo Martınez & Federico Valenciano, 2006. "Success Versus Decisiveness," Journal of Theoretical Politics, , vol. 18(2), pages 185-205, April.
    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. René Brink & Agnieszka Rusinowska & Frank Steffen, 2013. "Measuring power and satisfaction in societies with opinion leaders: an axiomatization," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(3), pages 671-683, September.
    2. Michel Breton & Karine Straeten, 2015. "Influence versus utility in the evaluation of voting rules: a new look at the Penrose formula," Public Choice, Springer, vol. 165(1), pages 103-122, October.
    3. Michel Le Breton & Dominique Lepelley & Antonin Macé & Vincent Merlin, 2017. "Le mécanisme optimal de vote au sein du conseil des représentants d’un système fédéral," L'Actualité Economique, Société Canadienne de Science Economique, vol. 93(1-2), pages 203-248.
    4. 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.
    5. Ibarzabal, Nora & Laruelle, Annick, 2018. "Ghost seats in parliaments," European Journal of Operational Research, Elsevier, vol. 264(1), pages 354-363.
    6. Josep Freixas & Montserrat Pons, 2015. "Success and decisiveness on proper symmetric games," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 23(4), pages 779-794, December.
    7. Pongou, Roland & Tchantcho, Bertrand, 2021. "Round-robin political tournaments: Abstention, truthful equilibria, and effective power," Games and Economic Behavior, Elsevier, vol. 130(C), pages 331-351.
    8. Freixas, Josep, 2012. "Probabilistic power indices for voting rules with abstention," Mathematical Social Sciences, Elsevier, vol. 64(1), pages 89-99.
    9. repec:ehu:ikerla:15412 is not listed on IDEAS
    10. Annick Laruelle & Federico Valenciano, 2008. "Bargaining in Committees of Representatives," Journal of Theoretical Politics, , vol. 20(1), pages 93-106, January.
    11. René Brink & Frank Steffen, 2012. "Axiomatizations of a positional power score and measure for hierarchies," Public Choice, Springer, vol. 151(3), pages 757-787, June.
    12. repec:ehu:ikerla:6259 is not listed on IDEAS
    13. Freixas, Josep & Pons, Montserrat, 2008. "Circumstantial power: Optimal persuadable voters," European Journal of Operational Research, Elsevier, vol. 186(3), pages 1114-1126, May.
    14. Alaitz Artabe & Annick Laruelle & Federico Valenciano, 2012. "Preferences, actions and voting rules," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 3(1), pages 15-28, March.
    15. René van den Brink & Agnieszka Rusinowska & Frank Steffen, 2009. "Measuring Power and Satisfaction in Societies with Opinion Leaders: Dictator and Opinion Leader Properties," Tinbergen Institute Discussion Papers 09-052/1, Tinbergen Institute.
    16. Laurent, Thibault & Le Breton, Michel & Lepelley, Dominique & de Mouzon, Olivier, 2017. "Exploring the Effects on the Electoral College of National and Regional Popular Vote Interstate Compact: An Electoral Engineering Perspective," TSE Working Papers 17-861, Toulouse School of Economics (TSE), revised May 2018.
    17. Pongou, Roland & Tchantcho, Bertrand & Tedjeugang, Narcisse, 2014. "Power theories for multi-choice organizations and political rules: Rank-order equivalence," Operations Research Perspectives, Elsevier, vol. 1(1), pages 42-49.
    18. Madeleine Hosli & Rebecca Moody & Bryan O’Donovan & Serguei Kaniovski & Anna Little, 2011. "Squaring the circle? Collective and distributive effects of United Nations Security Council reform," The Review of International Organizations, Springer, vol. 6(2), pages 163-187, July.
    19. Kurz, Sascha & Maaser, Nicola & Napel, Stefan, 2018. "Fair representation and a linear Shapley rule," Games and Economic Behavior, Elsevier, vol. 108(C), pages 152-161.
    20. Matthias Weber, 2014. "Choosing Voting Systems behind the Veil of Ignorance: A Two-Tier Voting Experiment," Tinbergen Institute Discussion Papers 14-042/I, Tinbergen Institute.
    21. Alexander Mayer & Stefan Napel, 2020. "Weighted voting on the IMF Managing Director," Economics of Governance, Springer, vol. 21(3), pages 237-244, September.
    22. Michel Grabisch & Agnieszka Rusinowska, 2007. "Influence Indices," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00142479, HAL.
      • Agnieszka Rusinowska & Michel Grabisch, 2007. "Influence Indices," Working Papers 0705, Groupe d'Analyse et de Théorie Economique Lyon St-Etienne (GATE Lyon St-Etienne), Université de Lyon.
      • Michel Grabisch & Agnieszka Rusinowska, 2007. "Influence Indices," Post-Print halshs-00142479, HAL.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    JEL classification:

    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other
    • D02 - Microeconomics - - General - - - Institutions: Design, Formation, Operations, and Impact
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

    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:tin:wpaper:20120030. 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: Tinbergen Office +31 (0)10-4088900 (email available below). General contact details of provider: https://edirc.repec.org/data/tinbenl.html .

    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.