IDEAS home Printed from https://ideas.repec.org/a/spr/reecde/v27y2023i2d10.1007_s10058-022-00299-2.html
   My bibliography  Save this article

Equilibrium design in an n-player quadratic game

Author

Listed:
  • Trivikram Dokka

    (Queen’s University Belfast)

  • Hervé Moulin

    (University of Glasgow)

  • Indrajit Ray

    (Cardiff University)

  • Sonali SenGupta

    (Queen’s University Belfast)

Abstract

As in public good provisions, in a public bad situation such as abatement, the non-cooperative interplay of the participants typically results in low levels of quantities (provision or abatement). In a simple class of n-person quadratic games, we show how Coarse correlated equilibria, using simple mediation devices, can significantly outperform Nash equilibrium outcomes in terms of a stated policy objective.

Suggested Citation

  • Trivikram Dokka & Hervé Moulin & Indrajit Ray & Sonali SenGupta, 2023. "Equilibrium design in an n-player quadratic game," Review of Economic Design, Springer;Society for Economic Design, vol. 27(2), pages 419-438, June.
    • Handle: RePEc:spr:reecde:v:27:y:2023:i:2:d:10.1007_s10058-022-00299-2
    DOI: 10.1007/s10058-022-00299-2
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10058-022-00299-2
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10058-022-00299-2?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
    ---><---

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

    References listed on IDEAS

    as
    1. Fleckinger, Pierre, 2012. "Correlation and relative performance evaluation," Journal of Economic Theory, Elsevier, vol. 147(1), pages 93-117.
    2. Yu Awaya & Vijay Krishna, 2020. "Information exchange in cartels," RAND Journal of Economics, RAND Corporation, vol. 51(2), pages 421-446, June.
    3. Barrett, Scott, 1994. "Self-Enforcing International Environmental Agreements," Oxford Economic Papers, Oxford University Press, vol. 46(0), pages 878-894, Supplemen.
    4. Awaya, Yu & Krishna, Vijay, 2019. "Communication and cooperation in repeated games," Theoretical Economics, Econometric Society, vol. 14(2), May.
    5. Aumann, Robert J, 1987. "Correlated Equilibrium as an Expression of Bayesian Rationality," Econometrica, Econometric Society, vol. 55(1), pages 1-18, January.
    6. Indrajit Ray & Sonali Gupta, 2013. "Coarse correlated equilibria in linear duopoly games," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(2), pages 541-562, May.
    7. Konstantinos Georgalos & Indrajit Ray & Sonali SenGupta, 2020. "Nash versus coarse correlation," Experimental Economics, Springer;Economic Science Association, vol. 23(4), pages 1178-1204, December.
    8. Aumann, Robert J., 1974. "Subjectivity and correlation in randomized strategies," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 67-96, March.
    9. Young, H. Peyton, 2004. "Strategic Learning and its Limits," OUP Catalogue, Oxford University Press, number 9780199269181, Decembrie.
    10. Trivikram Dokka Venkata Satyanaraya & Herve Moulin & Indrajit Ray & Sonali Sen Gupta, 2019. "Improving Abatement Levels and Welfare by Coarse Correlation in an Environmental Game," Working Papers 266042710, Lancaster University Management School, Economics Department.
    11. Ray, Indrajit, 1996. "Efficiency in correlated equilibrium," Mathematical Social Sciences, Elsevier, vol. 32(3), pages 157-178, December.
    12. MOULIN, Hervé & VIAL, Jean-Philippe, 1978. "Strategically zero-sum games: the class of games whose completely mixed equilibria connot be improved upon," LIDAM Reprints CORE 359, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    13. Ferenc Forgó, 2011. "Generalized correlated equilibrium for two-person games in extensive form with perfect information," 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. 19(2), pages 201-213, June.
    14. Moulin, Herve & Ray, Indrajit & Sen Gupta, Sonali, 2014. "Improving Nash by coarse correlation," Journal of Economic Theory, Elsevier, vol. 150(C), pages 852-865.
    15. TULKENS, Henry, 1998. "Cooperation versus free-riding in international environmental affairs: two approaches," LIDAM Reprints CORE 1339, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    16. Aurélie Slechten, 2020. "Environmental Agreements under Asymmetric Information," Journal of the Association of Environmental and Resource Economists, University of Chicago Press, vol. 7(3), pages 455-481.
    17. Matthew McGinty, 2007. "International environmental agreements among asymmetric nations," Oxford Economic Papers, Oxford University Press, vol. 59(1), pages 45-62, January.
    18. Forgó, Ferenc, 2010. "A generalization of correlated equilibrium: A new protocol," Mathematical Social Sciences, Elsevier, vol. 60(3), pages 186-190, November.
    19. Forgo, Ferenc & Fulop, Janos & Prill, Maria, 2005. "Game theoretic models for climate change negotiations," European Journal of Operational Research, Elsevier, vol. 160(1), pages 252-267, January.
    20. Kováč, Eugen & Schmidt, Robert C., 2021. "A simple dynamic climate cooperation model," Journal of Public Economics, Elsevier, vol. 194(C).
    21. Gerard-Varet, L. A. & Moulin, H., 1978. "Correlation and duopoly," Journal of Economic Theory, Elsevier, vol. 19(1), pages 123-149, October.
    22. Klepper, Gernot & Peterson, Sonja, 2006. "Marginal abatement cost curves in general equilibrium: The influence of world energy prices," Resource and Energy Economics, Elsevier, vol. 28(1), pages 1-23, January.
    23. 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.
    24. Arce M. D. G., 1996. "The economic consequences of the peace: Keynes and correlation," Mathematical Social Sciences, Elsevier, vol. 31(1), pages 50-50, February.
    25. Gromb, Denis & Martimort, David, 2007. "Collusion and the organization of delegated expertise," Journal of Economic Theory, Elsevier, vol. 137(1), pages 271-299, November.
    26. Jon Hovi & Hugh Ward & Frank Grundig, 2015. "Hope or Despair? Formal Models of Climate Cooperation," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 62(4), pages 665-688, December.
    27. Joyee Deb & Jin Li & Arijit Mukherjee, 2016. "Relational contracts with subjective peer evaluations," RAND Journal of Economics, RAND Corporation, vol. 47(1), pages 3-28, February.
    28. Reischmann, Andreas & Oechssler, Joerg, 2018. "The Binary Conditional Contribution Mechanism for public good provision in dynamic settings — Theory and experimental evidence," Journal of Public Economics, Elsevier, vol. 159(C), pages 104-115.
    29. Finus, Michael, 2008. "Game Theoretic Research on the Design of International Environmental Agreements: Insights, Critical Remarks, and Future Challenges," International Review of Environmental and Resource Economics, now publishers, vol. 2(1), pages 29-67, June.
    30. Bramoulle, Yann & Kranton, Rachel, 2007. "Public goods in networks," Journal of Economic Theory, Elsevier, vol. 135(1), pages 478-494, July.
    31. Daniel Arce, 1997. "Correlated strategies as Institutions," Theory and Decision, Springer, vol. 42(3), pages 271-285, 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. Trivikram Dokka Venkata Satyanaraya & Herve Moulin & Indrajit Ray & Sonali Sen Gupta, 2020. "Equilibrium Design by Coarse Correlation in Quadratic Games," Working Papers 301895429, Lancaster University Management School, Economics Department.
    2. Trivikram Dokka Venkata Satyanaraya & Herve Moulin & Indrajit Ray & Sonali Sen Gupta, 2019. "Improving Abatement Levels and Welfare by Coarse Correlation in an Environmental Game," Working Papers 266042710, Lancaster University Management School, Economics Department.
    3. Konstantinos Georgalos & Indrajit Ray & Sonali SenGupta, 2020. "Nash versus coarse correlation," Experimental Economics, Springer;Economic Science Association, vol. 23(4), pages 1178-1204, December.
    4. Herve Moulin & Indrajit Ray & Sonali Sen Gupta, 2013. "Coarse Correlated Equilibria in an Abatement Game," Discussion Papers 13-11, Department of Economics, University of Birmingham.
    5. Ozdogan, Ayca & Saglam, Ismail, 2021. "Correlated equilibrium under costly disobedience," Mathematical Social Sciences, Elsevier, vol. 114(C), pages 98-104.
    6. Georgalos, Konstantinos & Ray, Indrajit & Gupta, Sonali Sen, 2019. "Nash vs. Coarse Correlation," Cardiff Economics Working Papers E2019/3, Cardiff University, Cardiff Business School, Economics Section.
    7. Moulin, Herve & Ray, Indrajit & Sen Gupta, Sonali, 2014. "Improving Nash by coarse correlation," Journal of Economic Theory, Elsevier, vol. 150(C), pages 852-865.
    8. Grant, Simon & Stauber, Ronald, 2022. "Delegation and ambiguity in correlated equilibrium," Games and Economic Behavior, Elsevier, vol. 132(C), pages 487-509.
    9. Awaya, Yu & Krishna, Vijay, 2019. "Communication and cooperation in repeated games," Theoretical Economics, Econometric Society, vol. 14(2), May.
    10. Indrajit Ray & Sonali Gupta, 2013. "Coarse correlated equilibria in linear duopoly games," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(2), pages 541-562, May.
    11. Ferenc Forgó, 2020. "Exact enforcement value of soft correlated equilibrium for generalized chicken and prisoner’s dilemma 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. 28(1), pages 209-227, March.
    12. Konstantinos Georgalos & Indrajit Ray & Sonali Sen Gupta, 2017. "Coarse correlation and coordination in a game," Working Papers 151235570, Lancaster University Management School, Economics Department.
    13. Indrajit Ray & Sonali Sen Gupta, 2012. "Coarse correlated Equilibria in Linear Duopoly Games," Discussion Papers 11-14rr, Department of Economics, University of Birmingham.
    14. Friedman, Daniel & Rabanal, Jean Paul & Rud, Olga A. & Zhao, Shuchen, 2022. "On the empirical relevance of correlated equilibrium," Journal of Economic Theory, Elsevier, vol. 205(C).
    15. Tibor Besedeš & Erik P. Johnson & Xinping Tian, 2020. "Economic determinants of multilateral environmental agreements," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 27(4), pages 832-864, August.
    16. Arce M., Daniel G. & Sandler, Todd, 2001. "Transnational public goods: strategies and institutions," European Journal of Political Economy, Elsevier, vol. 17(3), pages 493-516, September.
    17. Anna A. Klis, 2019. "Identity and equal treatment in negative externality agreements," International Environmental Agreements: Politics, Law and Economics, Springer, vol. 19(6), pages 615-630, December.
    18. Forgó, Ferenc, 2010. "A generalization of correlated equilibrium: A new protocol," Mathematical Social Sciences, Elsevier, vol. 60(3), pages 186-190, November.
    19. Luciano Campi & Federico Cannerozzi & Fanny Cartellier, 2023. "Coarse correlated equilibria in linear quadratic mean field games and application to an emission abatement game," Papers 2311.04162, arXiv.org.
    20. Günther, Michael & Hellmann, Tim, 2017. "International environmental agreements for local and global pollution," Journal of Environmental Economics and Management, Elsevier, vol. 81(C), pages 38-58.

    More about this item

    Keywords

    Quadratic game; Coarse correlated equilibrium; Abatement level; Efficiency gain;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • Q52 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Pollution Control Adoption and Costs; Distributional Effects; Employment Effects

    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:spr:reecde:v:27:y:2023:i:2:d:10.1007_s10058-022-00299-2. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.