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Equilibrium Design by Coarse Correlation in Quadratic Games

Author

Listed:
  • Trivikram Dokka Venkata Satyanaraya
  • Herve Moulin
  • Indrajit Ray
  • Sonali Sen Gupta

Abstract

In a public good provision or a public bad abatement situation, the non-cooperative interplay of the participants typically results in low levels of provision or abatement. In the familiar class of n-person quadratic games, we show that Coarse Correlated equilibria (CCEs) - simple mediated communication devices that do not alter the strategic structure of the game - can significantly outperform the Nash equilibrium in terms of the policy objective above.

Suggested Citation

  • 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.
  • Handle: RePEc:lan:wpaper:301895429
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    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. 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.
    3. 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.
    4. 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 Approach Using the WITCH Model," OECD Economics Department Working Papers 702, OECD Publishing.
    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. Yu Awaya & Vijay Krishna, 2020. "Information exchange in cartels," RAND Journal of Economics, RAND Corporation, vol. 51(2), pages 421-446, June.
    7. 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.
    8. Chadha, Karan N. & Kulkarni, Ankur A., 2020. "Aggregate play and welfare in strategic interactions on networks," Journal of Mathematical Economics, Elsevier, vol. 88(C), pages 72-86.
    9. Gromb, Denis & Martimort, David, 2007. "Collusion and the organization of delegated expertise," Journal of Economic Theory, Elsevier, vol. 137(1), pages 271-299, November.
    10. Barrett, Scott, 1994. "Self-Enforcing International Environmental Agreements," Oxford Economic Papers, Oxford University Press, vol. 46(0), pages 878-894, Supplemen.
    11. 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.
    12. Awaya, Yu & Krishna, Vijay, 2019. "Communication and cooperation in repeated games," Theoretical Economics, Econometric Society, vol. 14(2), May.
    13. Aumann, Robert J, 1987. "Correlated Equilibrium as an Expression of Bayesian Rationality," Econometrica, Econometric Society, vol. 55(1), pages 1-18, January.
    14. 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.
    15. Konstantinos Georgalos & Indrajit Ray & Sonali SenGupta, 2020. "Nash versus coarse correlation," Experimental Economics, Springer;Economic Science Association, vol. 23(4), pages 1178-1204, December.
    16. Aumann, Robert J., 1974. "Subjectivity and correlation in randomized strategies," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 67-96, March.
    17. Young, H. Peyton, 2004. "Strategic Learning and its Limits," OUP Catalogue, Oxford University Press, number 9780199269181.
    18. 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.
    19. 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.
    20. 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).
    21. Pandit, Parthe & Kulkarni, Ankur A., 2018. "Refinement of the equilibrium of public goods games over networks: Efficiency and effort of specialized equilibria," Journal of Mathematical Economics, Elsevier, vol. 79(C), pages 125-139.
    22. 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.
    23. 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.
    24. Moulin, Herve & Ray, Indrajit & Sen Gupta, Sonali, 2014. "Improving Nash by coarse correlation," Journal of Economic Theory, Elsevier, vol. 150(C), pages 852-865.
    25. 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).
    26. Matthew McGinty, 2007. "International environmental agreements among asymmetric nations," Oxford Economic Papers, Oxford University Press, vol. 59(1), pages 45-62, January.
    27. Forgó, Ferenc, 2010. "A generalization of correlated equilibrium: A new protocol," Mathematical Social Sciences, Elsevier, vol. 60(3), pages 186-190, November.
    28. 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.
    29. 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.
    30. Gerard-Varet, L. A. & Moulin, H., 1978. "Correlation and duopoly," Journal of Economic Theory, Elsevier, vol. 19(1), pages 123-149, October.
    31. 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.
    32. Bramoulle, Yann & Kranton, Rachel, 2007. "Public goods in networks," Journal of Economic Theory, Elsevier, vol. 135(1), pages 478-494, July.
    33. Daniel Arce, 1997. "Correlated strategies as Institutions," Theory and Decision, Springer, vol. 42(3), pages 271-285, May.
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    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

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