IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1807.04621.html
   My bibliography  Save this paper

Analysis of a Dynamic Voluntary Contribution Mechanism Public Good Game

Author

Listed:
  • Dmytro Bogatov

Abstract

I present a dynamic, voluntary contribution mechanism, public good game and derive its potential outcomes. In each period, players endogenously determine contribution productivity by engaging in costly investment. The level of contribution productivity carries from period to period, creating a dynamic link between periods. The investment mimics investing in the stock of technology for producing public goods such as national defense or a clean environment. After investing, players decide how much of their remaining money to contribute to provision of the public good, as in traditional public good games. I analyze three kinds of outcomes of the game: the lowest payoff outcome, the Nash Equilibria, and socially optimal behavior. In the lowest payoff outcome, all players receive payoffs of zero. Nash Equilibrium occurs when players invest any amount and contribute all or nothing depending on the contribution productivity. Therefore, there are infinitely many Nash Equilibria strategies. Finally, the socially optimal result occurs when players invest everything in early periods, then at some point switch to contributing everything. My goal is to discover and explain this point. I use mathematical analysis and computer simulation to derive the results.

Suggested Citation

  • Dmytro Bogatov, 2018. "Analysis of a Dynamic Voluntary Contribution Mechanism Public Good Game," Papers 1807.04621, arXiv.org, revised Mar 2023.
    • Handle: RePEc:arx:papers:1807.04621
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1807.04621
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Robert Gibbons, 1997. "An Introduction to Applicable Game Theory," Journal of Economic Perspectives, American Economic Association, vol. 11(1), pages 127-149, Winter.
    2. R. Mark Isaac & James M. Walker, 1988. "Group Size Effects in Public Goods Provision: The Voluntary Contributions Mechanism," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 103(1), pages 179-199.
    3. Ananish Chaudhuri, 2011. "Sustaining cooperation in laboratory public goods experiments: a selective survey of the literature," Experimental Economics, Springer;Economic Science Association, vol. 14(1), pages 47-83, March.
    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. John Duffy & Jonathan Lafky, 2014. "Birth, Death and Public Good Provision," Working Paper 520, Department of Economics, University of Pittsburgh, revised Jan 2014.
    2. Michalis Drouvelis & Julian C. Jamison, 2015. "Selecting public goods institutions: Who likes to punish and reward?," Southern Economic Journal, John Wiley & Sons, vol. 82(2), pages 501-534, October.
    3. Paetzel, Fabian & Traub, Stefan, 2017. "Skewness-adjusted social preferences: Experimental evidence on the relation between inequality, elite behavior, and economic efficiency," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 68(C), pages 130-139.
    4. Bryan C. McCannon & Paul Walker, 2020. "Individual Competence and Committee Decision Making: Experimental Evidence," Southern Economic Journal, John Wiley & Sons, vol. 86(4), pages 1531-1558, April.
    5. Karakostas, Alexandros & Kocher, Martin G. & Matzat, Dominik & Rau, Holger A. & Riewe, Gerhard, 2023. "The team allocator game: Allocation power in public goods games," Games and Economic Behavior, Elsevier, vol. 140(C), pages 73-87.
    6. Martin Brown & Jan Schmitz & Christian Zehnder, 2023. "Moral Constraints, Social Norm Enforcement and Strategic Default in Weak and Strong Economic Conditions," Working Papers 23.03, Swiss National Bank, Study Center Gerzensee.
    7. Marco Catola & Simone D'Alessandro & Pietro Guarnieri & Veronica Pizziol, 2020. "Multilevel Public Goods Game: an Online Experiment," Discussion Papers 2020/263, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
    8. Kreitmair, Ursula & Bower-Bir, Jacob, 2021. "Too different to solve climate change? Experimental evidence on the effects of production and benefit heterogeneity on collective action," Ecological Economics, Elsevier, vol. 184(C).
    9. Ramalingam, Abhijit & Stoddard, Brock V. & Walker, James M., 2019. "The market for talent: Competition for resources and self-governance in teams," Games and Economic Behavior, Elsevier, vol. 114(C), pages 268-284.
    10. Alexander Smith & Xi Wen, 2017. "Investing in institutions for cooperation," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 3(1), pages 75-87, July.
    11. Xiaoting Zheng & Puyan Nie, 2013. "Effective Punishment Needs Legitimacy," The Economic Record, The Economic Society of Australia, vol. 89(287), pages 522-544, December.
    12. Marco Faillo & Federico Fornasari & Luigi Mittone, 2016. "Tell Me How to Rule: Leadership, Delegation, and Voice in Cooperation," CEEL Working Papers 1604, Cognitive and Experimental Economics Laboratory, Department of Economics, University of Trento, Italia.
    13. Tjaša Bjedov & Simon Lapointe & Thierry Madiès & Marie Claire Villeval, 2018. "Does decentralization of decisions increase the stability of large groups?," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(4), pages 681-716, December.
    14. Colasante, Annarita, 2017. "Selection of the distributional rule as an alternative tool to foster cooperation in a Public Good Game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 482-492.
    15. He, Simin & Zhu, Xun, 2023. "Real-time monitoring in a public-goods game," Games and Economic Behavior, Elsevier, vol. 142(C), pages 454-479.
    16. Daniele Nosenzo & Simone Quercia & Martin Sefton, 2015. "Cooperation in small groups: the effect of group size," Experimental Economics, Springer;Economic Science Association, vol. 18(1), pages 4-14, March.
    17. Jürgen Huber & Laura Hueber & Daniel Kleinlercher & Thomas Stöckl, 2022. "Acceptance or rejection of welfare migration—an experimental investigation," SN Business & Economics, Springer, vol. 2(11), pages 1-28, November.
    18. Blanco, Esther & Struwe, Natalie & Walker, James M., 2021. "Experimental evidence on sharing rules and additionality in transfer payments," Journal of Economic Behavior & Organization, Elsevier, vol. 188(C), pages 1221-1247.
    19. Abhijit Ramalingam & Brock V. Stoddard, 2021. "Does reducing inequality increase cooperation?​," GRU Working Paper Series GRU_2021_022, City University of Hong Kong, Department of Economics and Finance, Global Research Unit.
    20. Arbel, Yuval & Bar-El, Ronen & Tobol, Yossef, 2016. "Fundraising to a real-life public good – evidence from the laboratory," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 65(C), pages 27-37.

    More about this item

    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:arx:papers:1807.04621. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.