IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v247y2025ics0165176525000217.html
   My bibliography  Save this article

Non-parametric tests of output- and cost-sharing games

Author

Listed:
  • Banzhaf, H.Spencer
  • Liu, Yaqin

Abstract

The “tragedy of the commons” describes a variety of social dilemmas where total economic surplus is produced jointly from collective behavior and where individuals can strategically manipulate their share of the surplus. Recent research has shown that it is possible to test non-parametrically whether observed behavioral data are consistent with the canonical average return game, in which players share joint output in proportion to their inputs. We show that these tests extend to a much broader range of surplus sharing games. These games include equal-sharing of joint output and weighted averages of equal-sharing and proportionate sharing. They also include the average cost game, in which players share joint costs in proportion to the service provided them.

Suggested Citation

  • Banzhaf, H.Spencer & Liu, Yaqin, 2025. "Non-parametric tests of output- and cost-sharing games," Economics Letters, Elsevier, vol. 247(C).
  • Handle: RePEc:eee:ecolet:v:247:y:2025:i:c:s0165176525000217
    DOI: 10.1016/j.econlet.2025.112184
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165176525000217
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.econlet.2025.112184?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. Andrés Carvajal & Rahul Deb & James Fenske & John K.‐H. Quah, 2013. "Revealed Preference Tests of the Cournot Model," Econometrica, Econometric Society, vol. 81(6), pages 2351-2379, November.
    2. Heintzelman, Martin D. & Salant, Stephen W. & Schott, Stephan, 2009. "Putting free-riding to work: A Partnership Solution to the common-property problem," Journal of Environmental Economics and Management, Elsevier, vol. 57(3), pages 309-320, May.
    3. Chambers,Christopher P. & Echenique,Federico, 2016. "Revealed Preference Theory," Cambridge Books, Cambridge University Press, number 9781107087804, Enero-Abr.
    4. Daniel L. McFadden, 2006. "Revealed stochastic preference: a synthesis," Studies in Economic Theory, in: Charalambos D. Aliprantis & Rosa L. Matzkin & Daniel L. McFadden & James C. Moore & Nicholas C. Yann (ed.), Rationality and Equilibrium, pages 1-20, Springer.
    5. James C. Cox & Elinor Ostrom & Vjollca Sadiraj & James M. Walker, 2013. "Provision versus Appropriation in Symmetric and Asymmetric Social Dilemmas," Southern Economic Journal, John Wiley & Sons, vol. 79(3), pages 496-512, January.
    6. James C. Cox & Elinor Ostrom & Vjollca Sadiraj & James M. Walker, 2013. "Provision versus Appropriation in Symmetric and Asymmetric Social Dilemmas," Southern Economic Journal, Southern Economic Association, vol. 79(3), pages 496-512, January.
    7. Amartya K. Sen, 1966. "Labour Allocation in a Cooperative Enterprise," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 33(4), pages 361-371.
    8. Cornes,Richard & Sandler,Todd, 1996. "The Theory of Externalities, Public Goods, and Club Goods," Cambridge Books, Cambridge University Press, number 9780521477185, Enero-Abr.
    9. Weitzman, Martin L., 1974. "Free access vs private ownership as alternative systems for managing common property," Journal of Economic Theory, Elsevier, vol. 8(2), pages 225-234, June.
    10. Caleb M. Koch & Heinrich H. Nax, 2022. "Groundwater Usage and Strategic Complements: Part I (Instrumental Variables)," Games, MDPI, vol. 13(5), pages 1-19, October.
    11. James C. Cox & Elinor Ostrom & Vjollca Sadiraj & James M. Walker, 2013. "Provision versus Appropriation in Symmetric and Asymmetric Social Dilemmas," Southern Economic Journal, John Wiley & Sons, vol. 79(3), pages 496-512, January.
    12. Caleb M. Koch & Heinrich H. Nax, 2022. "Groundwater Usage and Strategic Complements: Part II (Revealed Preferences)," Games, MDPI, vol. 13(5), pages 1-19, October.
    13. Banzhaf, H. Spencer & Liu, Yaqin & Smith, Martin D. & Asche, Frank, 2024. "Non-parametric tests of behavior in the commons," Journal of Economic Behavior & Organization, Elsevier, vol. 224(C), pages 521-536.
    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. Banzhaf, H. Spencer & Liu, Yaqin, "undated". "Non-Parametric Tests of Output- and Cost-Sharing Games," CEnREP Working Papers 347604, North Carolina State University, Department of Agricultural and Resource Economics.
    2. H. Spencer Banzhaf & Yaqin Liu & Martin Smith & Frank Asche, 2019. "Non-Parametric Tests of the Tragedy of the Commons," NBER Working Papers 26398, National Bureau of Economic Research, Inc.
    3. Banzhaf, H. Spencer & Liu, Yaqin & Smith, Martin D. & Asche, Frank, 2024. "Non-parametric tests of behavior in the commons," Journal of Economic Behavior & Organization, Elsevier, vol. 224(C), pages 521-536.
    4. Carvajal, Andrés, 2024. "Recent advances on testability in economic equilibrium models," Journal of Mathematical Economics, Elsevier, vol. 114(C).
    5. Gächter, Simon & Kölle, Felix & Quercia, Simone, 2022. "Preferences and perceptions in Provision and Maintenance public goods," Games and Economic Behavior, Elsevier, vol. 135(C), pages 338-355.
    6. Leroux, Justin, 2004. "Pooling Private Technologies: Improving upon Autarky," Working Papers 2004-08, Rice University, Department of Economics.
    7. Simone Cerreia-Vioglio & David Dillenberger & Pietro Ortoleva & Gil Riella, 2019. "Deliberately Stochastic," American Economic Review, American Economic Association, vol. 109(7), pages 2425-2445, July.
      • Simone Cerreia-Vioglio & David Dillenberger & Pietro Ortoleva & Gil Riella, 2012. "Deliberately Stochastic," PIER Working Paper Archive 17-013, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 25 May 2017.
    8. Roger Hartley & Richard Cornes, 2004. "Mixed sharing rules," Econometric Society 2004 Australasian Meetings 196, Econometric Society.
    9. Sylvain Chassang & Kei Kawai & Jun Nakabayashi & Juan Ortner, 2019. "Data Driven Regulation: Theory and Application to Missing Bids," Boston University - Department of Economics - Working Papers Series WP2019-04, Boston University - Department of Economics.
    10. Cox, James C. & Sadiraj, Vjollca & Walker, James M., 2024. "Power asymmetry in repeated play of provision and appropriation games," Journal of Economic Behavior & Organization, Elsevier, vol. 220(C), pages 222-236.
    11. Leroux, Justin, 2008. "Profit sharing in unique Nash equilibrium: Characterization in the two-agent case," Games and Economic Behavior, Elsevier, vol. 62(2), pages 558-572, March.
    12. Fallucchi, Francesco & Luccasen, R. Andrew & Turocy, Theodore L., 2022. "The sophistication of conditional cooperators: Evidence from public goods games," Games and Economic Behavior, Elsevier, vol. 136(C), pages 31-62.
    13. Leroux, Justin, 2005. "Strategyproof Profit Sharing in Partnerships: Improving upon Autarky," Working Papers 2005-05, Rice University, Department of Economics.
    14. Justin Leroux, 2007. "Cooperative production under diminishing marginal returns: interpreting fixed-path methods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 29(1), pages 35-53, July.
    15. James C. Cox & Vjollca Sadiraj & Susan Xu Tang, 2023. "Morally monotonic choice in public good games," Experimental Economics, Springer;Economic Science Association, vol. 26(3), pages 697-725, July.
    16. Juan Camilo Cárdenas, 2005. "Local Commons and Cross-Effects of Population and Inequality on the Local Provision of environmental Services," Lecturas de Economía, Universidad de Antioquia, Departamento de Economía, issue 62, pages 75-121, Enero-Jun.
    17. Omkar D. Palsule-Desai, 2016. "Impact of equity and equality on stability and collusion in a decentralized network," Annals of Operations Research, Springer, vol. 238(1), pages 411-447, March.
    18. Leroux, Justin, 2005. "Strategyproof Profit Sharing: A Two-Agent Characterization," Working Papers 2005-04, Rice University, Department of Economics.
    19. Kerstin Mitterbacher & Stefan Palan & Jürgen Fleiß, 2024. "Intergroup cooperation in the lab: asymmetric power relations and redistributive policies," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 51(4), pages 877-912, November.
    20. Omkar Palsule-Desai, 2016. "Impact of equity and equality on stability and collusion in a decentralized network," Annals of Operations Research, Springer, vol. 238(1), pages 411-447, March.

    More about this item

    Keywords

    Revealed preference; Rationalization; Tragedy of the commons; Common pool resources; Natural resources;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • Q20 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - General
    • Q30 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation - - - General

    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:eee:ecolet:v:247:y:2025:i:c:s0165176525000217. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ecolet .

    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.