IDEAS home Printed from https://ideas.repec.org/a/bla/manchs/v77y2009i5p575-593.html
   My bibliography  Save this article

Cartel Stability Under An Optimal Sharing Rule

Author

Listed:
  • HANS‐PETER WEIKARD

Abstract

In this paper I analyse the stability of cartels in games with heterogeneous players and externalities. I introduce a class of sharing rules for coalition pay‐offs, called ‘optimal sharing rules’, that stabilize all cartels that are possibly stable under some arbitrary sharing rule. To illustrate the impact of optimal sharing with heterogeneous players and positive externalities I analyse a public goods game. In contrast to games with identical players that are common in the study of international environmental agreements, my results show that large coalitions may well be stable when optimal sharing is applied.

Suggested Citation

  • Hans‐Peter Weikard, 2009. "Cartel Stability Under An Optimal Sharing Rule," Manchester School, University of Manchester, vol. 77(5), pages 575-593, September.
    • Handle: RePEc:bla:manchs:v:77:y:2009:i:5:p:575-593
    DOI: 10.1111/j.1467-9957.2009.02111.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1467-9957.2009.02111.x
    Download Restriction: no
    File URL: https://libkey.io/10.1111/j.1467-9957.2009.02111.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
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Maria Montero, 2023. "Coalition Formation in Games with Externalities," Dynamic Games and Applications, Springer, vol. 13(2), pages 525-548, June.
    2. Sylvie Thoron, 1998. "Formation of a Coalition-Proof Stable Cartel," Canadian Journal of Economics, Canadian Economics Association, vol. 31(1), pages 63-76, February.
    3. Effrosyni Diamantoudi & Eftichios S. Sartzetakis, 2006. "Stable International Environmental Agreements: An Analytical Approach," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 8(2), pages 247-263, May.
    4. Hans-Peter Weikard & Michael Finus & Juan-Carlos Altamirano-Cabrera, 2006. "The impact of surplus sharing on the stability of international climate agreements," Oxford Economic Papers, Oxford University Press, vol. 58(2), pages 209-232, April.
    5. Michael Finus & Juan-Carlos Altamirano-Cabrera & Ekko Ierland, 2005. "The effect of membership rules and voting schemes on the success of international climate agreements," Public Choice, Springer, vol. 125(1), pages 95-127, July.
    6. Michael Hoel, 1992. "International environment conventions: The case of uniform reductions of emissions," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 2(2), pages 141-159, March.
    7. Carraro, Carlo & Siniscalco, Domenico, 1993. "Strategies for the international protection of the environment," Journal of Public Economics, Elsevier, vol. 52(3), pages 309-328, October.
    8. Poyago-Theotoky, Joanna, 1995. "Equilibrium and Optimal Size of a Research Joint Venture in an Oligopoly with Spillovers," Journal of Industrial Economics, Wiley Blackwell, vol. 43(2), pages 209-226, June.
    9. Barrett, Scott, 1994. "Self-Enforcing International Environmental Agreements," Oxford Economic Papers, Oxford University Press, vol. 46(0), pages 878-894, Supplemen.
    10. Ray, Debraj & Vohra, Rajiv, 1999. "A Theory of Endogenous Coalition Structures," Games and Economic Behavior, Elsevier, vol. 26(2), pages 286-336, January.
    11. Carlo Carraro (ed.), 2003. "The Endogenous Formation of Economic Coalitions," Books, Edward Elgar Publishing, number 2999.
    12. Johan Eyckmans & Michael Finus, 2004. "An Almost Ideal Sharing Scheme for Coalition Games with Externalities," Energy, Transport and Environment Working Papers Series ete0414, KU Leuven, Department of Economics - Research Group Energy, Transport and Environment.
    13. Michael Hoel & Kerstin Schneider, 1997. "Incentives to participate in an international environmental agreement," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 9(2), pages 153-170, March.
    14. Donsimoni, Marie-Paule, 1985. "Stable heterogeneous cartels," International Journal of Industrial Organization, Elsevier, vol. 3(4), pages 451-467, December.
    15. Herrero, Carmen & Maschler, Michael & Villar, Antonio, 1999. "Individual rights and collective responsibility: the rights-egalitarian solution," Mathematical Social Sciences, Elsevier, vol. 37(1), pages 59-77, January.
    16. Matthew McGinty, 2007. "International environmental agreements among asymmetric nations," Oxford Economic Papers, Oxford University Press, vol. 59(1), pages 45-62, January.
    17. Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
    18. Yi, Sang-Seung, 1997. "Stable Coalition Structures with Externalities," Games and Economic Behavior, Elsevier, vol. 20(2), pages 201-237, August.
    19. Belleflamme, Paul, 2000. "Stable Coalition Structures with Open Membership and Asymmetric Firms," Games and Economic Behavior, Elsevier, vol. 30(1), pages 1-21, January.
    20. Maarten F. Cornet, 2003. "Partition function bargaining with public demands," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(4), pages 845-862, November.
    21. Barrett, Scott, 2001. "International cooperation for sale," European Economic Review, Elsevier, vol. 45(10), pages 1835-1850, December.
    22. Bloch, Francis, 1996. "Sequential Formation of Coalitions in Games with Externalities and Fixed Payoff Division," Games and Economic Behavior, Elsevier, vol. 14(1), pages 90-123, May.
    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. Finus, Michael & Pintassilgo, Pedro, 2013. "The role of uncertainty and learning for the success of international climate agreements," Journal of Public Economics, Elsevier, vol. 103(C), pages 29-43.
    2. Michael Finus & Pedro Pintassilgo, 2012. "International environmental agreements under uncertainty: does the 'veil of uncertainty' help?," Oxford Economic Papers, Oxford University Press, vol. 64(4), pages 736-764, October.
    3. Hans-Peter Weikard & Leo Wangler & Andreas Freytag, 2015. "Minimum Participation Rules with Heterogeneous Countries," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 62(4), pages 711-727, December.
    4. Alejandro Caparrós & Michael Finus, 2020. "Public good agreements under the weakest‐link technology," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(3), pages 555-582, June.
    5. van der Pol, Thomas & Weikard, Hans-Peter & van Ierland, Ekko, 2012. "Can altruism stabilise international climate agreements?," Ecological Economics, Elsevier, vol. 81(C), pages 112-120.
    6. Valentina Bosetti & Carlo Carraro & Enrica De Cian & Romain Duval & Emanuele Massetti & Massimo Tavoni, 2009. "The Incentives to Participate in, and the Stability of, International Climate Coalitions: A Game-theoretic Analysis Using the Witch Model," Working Papers 2009.64, Fondazione Eni Enrico Mattei.
    7. Johan Eyckmans & Michael Finus, 2007. "Measures to enhance the success of global climate treaties," International Environmental Agreements: Politics, Law and Economics, Springer, vol. 7(1), pages 73-97, March.
    8. Cavagnac, Michel & Cheikbossian, Guillaume, 2012. "Coalition Formation and Environmental Policies in International Oligopoly Markets," LERNA Working Papers 12.29.386, LERNA, University of Toulouse.
    9. Erik Ansink & Cees A. Withagen, 2016. "Members, Joiners, Free-Riders, Supporters," CESifo Working Paper Series 5802, CESifo.
    10. Eyckmans, Johan & Finus, Michael & Mallozzi, Lina, 2011. "A New Class of Welfare Maximizing Stable Sharing Rules for Partition Function Games with Externalities," Working Papers 2011/08, Hogeschool-Universiteit Brussel, Faculteit Economie en Management.
    11. Carlo Carraro & Johan Eyckmans & Michael Finus, 2006. "Optimal transfers and participation decisions in international environmental agreements," The Review of International Organizations, Springer, vol. 1(4), pages 379-396, December.
    12. Carlo Carraro, 2014. "International environmental cooperation," Chapters, in: Giles Atkinson & Simon Dietz & Eric Neumayer & Matthew Agarwala (ed.), Handbook of Sustainable Development, chapter 26, pages 418-431, Edward Elgar Publishing.
    13. Michael Finus & Bianca Rundshagen, 2005. "Participation in International Environmental Agreements: The Role of Timing and Regulation," Working Papers 2005.45, Fondazione Eni Enrico Mattei.
    14. Jonathan Colmer, 2011. "Asymmetry, optimal transfers and international environmental agreements," GRI Working Papers 66, Grantham Research Institute on Climate Change and the Environment.
    15. Thoron, Sylvie & Sol, Emmanuel & Willinger, Marc, 2009. "Do binding agreements solve the social dilemma?," Journal of Public Economics, Elsevier, vol. 93(11-12), pages 1271-1282, December.
    16. Ansink, Erik & Weikard, Hans-Peter & Withagen, Cees, 2019. "International environmental agreements with support," Journal of Environmental Economics and Management, Elsevier, vol. 97(C), pages 241-252.
    17. Achim Hagen & Klaus Eisenack, 2019. "Climate Clubs Versus Single Coalitions: The Ambition Of International Environmental Agreements," Climate Change Economics (CCE), World Scientific Publishing Co. Pte. Ltd., vol. 10(03), pages 1-19, August.
    18. Carraro, Carlo & Marchiori, Carmen & Sgobbi, Alessandra, 2005. "Advances in negotiation theory : bargaining, coalitions, and fairness," Policy Research Working Paper Series 3642, The World Bank.
    19. Bakalova, Irina & Eyckmans, Johan, 2019. "Simulating the impact of heterogeneity on stability and effectiveness of international environmental agreements," European Journal of Operational Research, Elsevier, vol. 277(3), pages 1151-1162.
    20. Johan Eyckmans & Michael Finus, 2004. "An Almost Ideal Sharing Scheme for Coalition Games with Externalities," Energy, Transport and Environment Working Papers Series ete0414, KU Leuven, Department of Economics - Research Group Energy, Transport and Environment.

    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

    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:manchs:v:77:y:2009:i:5:p:575-593. 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: https://edirc.repec.org/data/semanuk.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.