IDEAS home Printed from https://ideas.repec.org/p/cpr/ceprdp/18843.html
   My bibliography  Save this paper

A General Measure of Bargaining Power for Non-Cooperative Games

Author

Listed:
  • Goerlach, Joseph-Simon
  • Motz, Nicolas

Abstract

Despite recent advances, no general methods for computing bargaining power in non-cooperative games exist. We propose a number of axioms such a measure should satisfy and show that they characterise a unique function. The principle underlying this measure is that the influence of a player can be assessed according to how much changes in this player's preferences affect outcomes. Considering specific classes of games, our approach nests existing measures of power. We present applications to cartel formation, the non-cooperative model of the household, and legislative bargaining.

Suggested Citation

  • Goerlach, Joseph-Simon & Motz, Nicolas, 2024. "A General Measure of Bargaining Power for Non-Cooperative Games," CEPR Discussion Papers 18843, C.E.P.R. Discussion Papers.
  • Handle: RePEc:cpr:ceprdp:18843
    as

    Download full text from publisher

    File URL: https://cepr.org/publications/DP18843
    Download Restriction: CEPR Discussion Papers are free to download for our researchers, subscribers and members. If you fall into one of these categories but have trouble downloading our papers, please contact us at subscribers@cepr.org
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Dan Anderberg & Helmut Rainer & Jonathan Wadsworth & Tanya Wilson, 2016. "Unemployment and Domestic Violence: Theory and Evidence," Economic Journal, Royal Economic Society, vol. 126(597), pages 1947-1979, November.
    2. Svejnar, Jan, 1986. "Bargaining Power, Fear of Disagreement, and Wage Settlements: Theory and Evidence from U.S. Industry," Econometrica, Econometric Society, vol. 54(5), pages 1055-1078, September.
    3. Martin Browning & Pierre-André Chiappori & Arthur Lewbel, 2013. "Estimating Consumption Economies of Scale, Adult Equivalence Scales, and Household Bargaining Power," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 80(4), pages 1267-1303.
    4. Stefan Napel & Dominik Welter, 2021. "Simple Voting Games and Cartel Damage Proportioning," Games, MDPI, vol. 12(4), pages 1-18, October.
    5. Daniel Diermeier & Hulya Eraslan & Antonio Merlo, 2003. "A Structural Model of Government Formation," Econometrica, Econometric Society, vol. 71(1), pages 27-70, January.
    6. Owen, G & Shapley, L S, 1989. "Optimal Location of Candidates in Ideological Space," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(3), pages 339-356.
    7. Lundberg, Shelly & Pollak, Robert A, 1994. "Noncooperative Bargaining Models of Marriage," American Economic Review, American Economic Association, vol. 84(2), pages 132-137, May.
    8. Kambe, Shinsuke, 1999. "Bargaining with Imperfect Commitment," Games and Economic Behavior, Elsevier, vol. 28(2), pages 217-237, August.
    9. James M. Snyder Jr. & Michael M. Ting & Stephen Ansolabehere, 2005. "Legislative Bargaining under Weighted Voting," American Economic Review, American Economic Association, vol. 95(4), pages 981-1004, September.
    10. Nunnari, Salvatore, 2021. "Dynamic legislative bargaining with veto power: Theory and experiments," Games and Economic Behavior, Elsevier, vol. 126(C), pages 186-230.
    11. Thomas Romer & Howard Rosenthal, 1978. "Political resource allocation, controlled agendas, and the status quo," Public Choice, Springer, vol. 33(4), pages 27-43, December.
    12. Ruben Korsten & Andrew Samuel, 2023. "Cartel formation and detection: the role of information costs and disclosure," European Journal of Law and Economics, Springer, vol. 56(1), pages 117-153, August.
    13. 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.
    14. S Nageeb Ali & B Douglas Bernheim & Xiaochen Fan, 2019. "Predictability and Power in Legislative Bargaining," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(2), pages 500-525.
    15. Stefan Napel & Mika Widgren, 2004. "Power Measurement as Sensitivity Analysis," Journal of Theoretical Politics, , vol. 16(4), pages 517-538, October.
    16. Patrick Francois & Ilia Rainer & Francesco Trebbi, 2015. "How Is Power Shared in Africa?," Econometrica, Econometric Society, vol. 83, pages 465-503, March.
    17. Kaushik Basu, 2006. "Gender and Say: a Model of Household Behaviour with Endogenously Determined Balance of Power," Economic Journal, Royal Economic Society, vol. 116(511), pages 558-580, April.
    18. 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.
    19. Lechene, Valérie & Preston, Ian, 2011. "Noncooperative household demand," Journal of Economic Theory, Elsevier, vol. 146(2), pages 504-527, March.
    20. Takaaki Abe, 2021. "Cartel Formation in Cournot Competition with Asymmetric Costs: A Partition Function Approach," Games, MDPI, vol. 12(1), pages 1-16, February.
    21. Dan Anderberg & Helmut Rainer & Jonathan Wadsworth & Tanya Wilson, 2016. "Unemployment and Domestic Violence: Theory and Evidence," Economic Journal, Royal Economic Society, vol. 126(597), pages 1947-1979, November.
    22. Chiappori, Pierre-Andre, 1988. "Rational Household Labor Supply," Econometrica, Econometric Society, vol. 56(1), pages 63-90, January.
    23. Laruelle, Annick & Valenciano, Federico, 2008. "Noncooperative foundations of bargaining power in committees and the Shapley-Shubik index," Games and Economic Behavior, Elsevier, vol. 63(1), pages 341-353, May.
    24. Simon Loertscher & Leslie M. Marx, 2022. "Incomplete Information Bargaining with Applications to Mergers, Investment, and Vertical Integration," American Economic Review, American Economic Association, vol. 112(2), pages 616-649, February.
    25. Chiappori, Pierre-Andre, 1992. "Collective Labor Supply and Welfare," Journal of Political Economy, University of Chicago Press, vol. 100(3), pages 437-467, June.
    26. Stefan Napel & Dominik Welter, 2022. "Relative Responsibility for Cartel Damages," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 178(3), pages 231-257.
    27. Curtis R. Taylor, 1995. "The Long Side of the Market and the Short End of the Stick: Bargaining Power and Price Formation in Buyers', Sellers', and Balanced Markets," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(3), pages 837-855.
    28. Manning, Alan, 1987. "An Integration of Trade Union Models in a Sequential Bargaining Framework," Economic Journal, Royal Economic Society, vol. 97(385), pages 121-139, March.
    29. John T. Dunlop & Benjamin Higgins, 1942. ""Bargaining Power" and Market Structures," Journal of Political Economy, University of Chicago Press, vol. 50(1), pages 1-1.
    30. Frechette, Guillaume & Kagel, John H. & Morelli, Massimo, 2005. "Nominal bargaining power, selection protocol, and discounting in legislative bargaining," Journal of Public Economics, Elsevier, vol. 89(8), pages 1497-1517, August.
    31. Vijay Krishna & Roberto Serrano, 1996. "Multilateral Bargaining," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(1), pages 61-80.
    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. Chiappori, Pierre-André & Donni, Olivier, 2009. "Non-unitary Models of Household Behavior: A Survey of the Literature," IZA Discussion Papers 4603, Institute of Labor Economics (IZA).
    2. Donni, Olivier & Molina, José Alberto, 2018. "Household Collective Models: Three Decades of Theoretical Contributions and Empirical Evidence," IZA Discussion Papers 11915, Institute of Labor Economics (IZA).
    3. Matthias Doepke & Michèle Tertilt, 2019. "Does female empowerment promote economic development?," Journal of Economic Growth, Springer, vol. 24(4), pages 309-343, December.
    4. Pierre-André Chiappori & Costas Meghir, 2014. "Intrahousehold Inequality," NBER Working Papers 20191, National Bureau of Economic Research, Inc.
    5. Pierre-André Chiappori & José Alberto Molina, 2019. "The intra-spousal balance of power within the family: cross-cultural evidence," Boston College Working Papers in Economics 983, Boston College Department of Economics.
    6. Aaron Kamm & Simon Siegenthaler, 2024. "Commitment timing in coalitional bargaining," Experimental Economics, Springer;Economic Science Association, vol. 27(1), pages 130-154, March.
    7. Cherchye, L.J.H. & Demuynck, T. & de Rock, B., 2009. "Degrees of Cooperation in Household Consumption Models : A Revealed Preference Analysis," Discussion Paper 2009-91, Tilburg University, Center for Economic Research.
    8. Doepke, M. & Tertilt, M., 2016. "Families in Macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 1789-1891, Elsevier.
    9. Laurens CHERCHYE & Thomas DEMUYNCK & Bram DE ROCK, 2010. "Noncooperative household consumption with caring," Working Papers of Department of Economics, Leuven ces10.34, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
    10. Laurens Cherchye & Thomas Demuynck & Bram De Rock & Frederic Vermeulen, 2017. "Household Consumption When the Marriage Is Stable," American Economic Review, American Economic Association, vol. 107(6), pages 1507-1534, June.
    11. Hans Gersbach & Hans Haller, 2009. "The affectionate society: does competition for partners promote friendliness?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(3), pages 389-403, September.
    12. Jean-Marie Baland & Roberta Ziparo, 2017. "Intra-household bargaining in poor countries," WIDER Working Paper Series wp-2017-108, World Institute for Development Economic Research (UNU-WIDER).
    13. Widgrén, Mika, 2008. "The Impact of Council Voting Rules on EU Decision-Making," Discussion Papers 1162, The Research Institute of the Finnish Economy.
    14. Olivier Bargain, 2017. "Welfare analysis and redistributive policies," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 15(4), pages 393-419, December.
    15. Lucia MANGIAVACCHI & Federico PERALI & Luca Piccoli, 2018. "Intrahousehold Distribution in Migrant-Sending Families," JODE - Journal of Demographic Economics, Cambridge University Press, vol. 84(1), pages 107-148, March.
    16. Laurens Cherchye & Thomas Demuynck & Bram De Rock, 2011. "Revealed Preference Analysis of Non‐Cooperative Household Consumption," Economic Journal, Royal Economic Society, vol. 121(555), pages 1073-1096, September.
    17. Barr, Jason & Passarelli, Francesco, 2009. "Who has the power in the EU?," Mathematical Social Sciences, Elsevier, vol. 57(3), pages 339-366, May.
    18. Walther, Selma, 2018. "Noncooperative decision making in the household: Evidence from Malawi," Journal of Development Economics, Elsevier, vol. 134(C), pages 428-442.
    19. Drouvelis, Michalis & Montero, Maria & Sefton, Martin, 2010. "Gaining power through enlargement: Strategic foundations and experimental evidence," Games and Economic Behavior, Elsevier, vol. 69(2), pages 274-292, July.
    20. Chiappori, Pierre-André & Donni, Olivier, 2006. "Les modèles non unitaires de comportement du ménage : un survol de la littérature," L'Actualité Economique, Société Canadienne de Science Economique, vol. 82(1), pages 9-52, mars-juin.

    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles

    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:cpr:ceprdp:18843. 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: the person in charge (email available below). General contact details of provider: https://www.cepr.org .

    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.