IDEAS home Printed from https://ideas.repec.org/p/hal/wpaper/hal-00924017.html
   My bibliography  Save this paper

Influence and Social Tragedy in Networks

Author

Listed:
  • Yann Rébillé

    (LEMNA - Laboratoire d'économie et de management de Nantes Atlantique - IEMN-IAE Nantes - Institut d'Économie et de Management de Nantes - Institut d'Administration des Entreprises - Nantes - UN - Université de Nantes)

  • Lionel Richefort

    (LEMNA - Laboratoire d'économie et de management de Nantes Atlantique - IEMN-IAE Nantes - Institut d'Économie et de Management de Nantes - Institut d'Administration des Entreprises - Nantes - UN - Université de Nantes)

Abstract

We model agents in a network game of strategic complements and negative externalities. Sufficient conditions for the existence of a unique Nash equilibrium and of a unique social optimum are established. Under these conditions, we find that players with more vulnerable locations in the network exert more effort at equilibrium, and that the most influential players should exert less effort at efficiency. We then find structural conditions under which each player exerts strictly more effort than her efficient level, whether the social optimum be interior or not.

Suggested Citation

  • Yann Rébillé & Lionel Richefort, 2014. "Influence and Social Tragedy in Networks," Working Papers hal-00924017, HAL.
    • Handle: RePEc:hal:wpaper:hal-00924017
    Note: View the original document on HAL open archive server: https://hal.science/hal-00924017
    as

    Download full text from publisher

    File URL: https://hal.science/hal-00924017/document
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Allouch, Nizar, 2015. "On the private provision of public goods on networks," Journal of Economic Theory, Elsevier, vol. 157(C), pages 527-552.
    2. Rébillé, Yann & Richefort, Lionel, 2014. "Equilibrium existence and uniqueness in network games with additive preferences," European Journal of Operational Research, Elsevier, vol. 232(3), pages 601-606.
    3. John Kennan, 2001. "Uniqueness of Positive Fixed Points for Increasing Concave Functions on Rn: An Elementary Result," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(4), pages 893-899, October.
    4. Yann Rébillé & Lionel Richefort, 2012. "Welfare Analysis in Games with substitutabilities," Working Papers hal-00732950, HAL.
    5. H. Scott Gordon, 1954. "The Economic Theory of a Common-Property Resource: The Fishery," Journal of Political Economy, University of Chicago Press, vol. 62(2), pages 124-124.
    6. Frank, Robert H, 1985. "The Demand for Unobservable and Other Nonpositional Goods," American Economic Review, American Economic Association, vol. 75(1), pages 101-116, March.
    7. Winston, G.C., 2000. "The Positional Arms Race in Higher Education," Williams Project on the Economics of Higher Education DP-54, Department of Economics, Williams College.
    8. Allouch, Nizar, 2015. "On the private provision of public goods on networks," Journal of Economic Theory, Elsevier, vol. 157(C), pages 527-552.
    9. Yann Rébillé & Lionel Richefort, 2012. "Sharing Water from many Rivers," Working Papers hal-00678997, HAL.
    10. H. Scott Gordon, 1954. "The Economic Theory of a Common-Property Resource: The Fishery," Palgrave Macmillan Books, in: Chennat Gopalakrishnan (ed.), Classic Papers in Natural Resource Economics, chapter 9, pages 178-203, Palgrave Macmillan.
    11. Baumol,William J. & Oates,Wallace E., 1988. "The Theory of Environmental Policy," Cambridge Books, Cambridge University Press, number 9780521322249.
    12. Veblen, Thorstein, 1899. "The Theory of the Leisure Class," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, number veblen1899.
    13. Acharya, Avidit & Ramsay, Kristopher W., 2013. "The Calculus of the Security Dilemma," Quarterly Journal of Political Science, now publishers, vol. 8(2), pages 183-203, 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. Allouch, Nizar, 2017. "The cost of segregation in (social) networks," Games and Economic Behavior, Elsevier, vol. 106(C), pages 329-342.
    2. Rébillé, Yann & Richefort, Lionel, 2014. "Equilibrium existence and uniqueness in network games with additive preferences," European Journal of Operational Research, Elsevier, vol. 232(3), pages 601-606.
    3. Luca Colombo & Gianluca Femminis & Alessandro Pavan, 2014. "Information Acquisition and Welfare," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(4), pages 1438-1483.
    4. Madhu Khanna, 2022. "Breakthroughs at the disciplinary nexus: Rewards and challenges for applied economists," American Journal of Agricultural Economics, John Wiley & Sons, vol. 104(2), pages 475-492, March.
    5. Lionel Richefort, 2018. "Warm-glow giving in networks with multiple public goods," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(4), pages 1211-1238, November.
    6. Gardner M. Brown, 2000. "Renewable Natural Resource Management and Use without Markets," Journal of Economic Literature, American Economic Association, vol. 38(4), pages 875-914, December.
    7. Susana Ferreira, 2007. "Trade Policy and Natural Resource Use: The Case for a Quantitative Restriction," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 37(2), pages 361-376, June.
    8. Kotchen, Matthew J. & Salant, Stephen W., 2011. "A free lunch in the commons," Journal of Environmental Economics and Management, Elsevier, vol. 61(3), pages 245-253, May.
    9. Yann Rébillé & Lionel Richefort, 2014. "Networks of many public goods with non-linear best replies," Working Papers hal-01074708, HAL.
    10. Allouch, Nizar, 2017. "The cost of segregation in (social) networks," Games and Economic Behavior, Elsevier, vol. 106(C), pages 329-342.
    11. Marco A. Janssen & Elinor Ostrom, 2008. "TURFS in the lab: Institutional Innovation in Real-Time Dynamic Spatial Commons," Rationality and Society, , vol. 20(4), pages 371-397, November.
    12. McCloskey Deirdre Nansen, 2018. "The Two Movements in Economic Thought, 1700–2000: Empty Economic Boxes Revisited," Man and the Economy, De Gruyter, vol. 5(2), pages 1-20, December.
    13. Coxhead, Ian A. & Jayasuriya, Sisira, 2003. "Trade, Liberalization, Resource Degradation and Industrial Pollution in Developing Countries: An Integrated Analysis," Staff Papers 12691, University of Wisconsin-Madison, Department of Agricultural and Applied Economics.
    14. Rauscher, Michael, 1996. "Sustainable Development and Complex Ecosystems. An Economist's View," Thuenen-Series of Applied Economic Theory 02, University of Rostock, Institute of Economics.
    15. Barkley Rosser, J. Jr., 2001. "Complex ecologic-economic dynamics and environmental policy," Ecological Economics, Elsevier, vol. 37(1), pages 23-37, April.
    16. Jorge Higinio Maldonado & Rocío del Pilar Moreno-Sanchez, 2016. "Exacerbating the Tragedy of the Commons: Private Inefficient Outcomes and Peer Effect in Experimental Games with Fishing Communities," PLOS ONE, Public Library of Science, vol. 11(2), pages 1-17, February.
    17. Strydom, M.B. & Nieuwoudt, W. Lieb, 1998. "An Economic Analysis Of Restructuring The South African Hake Quota Market," Agrekon, Agricultural Economics Association of South Africa (AEASA), vol. 37(3), pages 1-15, September.
    18. Naiditch, Claire & Vranceanu, Radu, 2011. "Remittances as a social status signaling device," Research in Economics, Elsevier, vol. 65(4), pages 305-318, December.
    19. repec:mse:cesdoc:13002r is not listed on IDEAS
    20. Horan, R.D. & Bulte, E.H., 2004. "Optimal and open access harvesting and multi-use species in a second best world," Other publications TiSEM 95000e50-7225-4f4d-aeaf-a, Tilburg University, School of Economics and Management.
    21. Funk, Matt, 2008. "On the Problem of Sustainable Economic Development: A Theoretical Solution to this Prisoner's Dilemma," MPRA Paper 19025, University Library of Munich, Germany, revised 08 Jun 2008.

    More about this item

    Keywords

    social tragedy; Network; strategic complements; equilibrium; efficiency; social tragedy.;
    All these keywords.

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:hal:wpaper:hal-00924017. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.