IDEAS home Printed from https://ideas.repec.org/a/spr/jogath/v46y2017i4d10.1007_s00182-017-0570-1.html
   My bibliography  Save this article

Efficiency in a forced contribution threshold public good game

Author

Listed:
  • Edward Cartwright

    (University of Kent)

  • Anna Stepanova

    (University of Kent)

Abstract

We contrast and compare three ways of predicting efficiency in a forced contribution threshold public good game. The three alternatives are based on ordinal potential, quantal response and impulse balance theory. We report an experiment designed to test the respective predictions and find that impulse balance gives the best predictions. A simple expression detailing when enforced contributions result in high or low efficiency is provided.

Suggested Citation

  • Edward Cartwright & Anna Stepanova, 2017. "Efficiency in a forced contribution threshold public good game," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(4), pages 1163-1191, November.
  • Handle: RePEc:spr:jogath:v:46:y:2017:i:4:d:10.1007_s00182-017-0570-1
    DOI: 10.1007/s00182-017-0570-1
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00182-017-0570-1
    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/s00182-017-0570-1?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 look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Goerg Sebastian J. & Sadrieh Abdolkarim & Neugebauer Tibor, 2016. "Impulse Response Dynamics in Weakest Link Games," German Economic Review, De Gruyter, vol. 17(3), pages 284-297, August.
    2. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, April.
    3. Ockenfels, Axel & Selten, Reinhard, 2005. "Impulse balance equilibrium and feedback in first price auctions," Games and Economic Behavior, Elsevier, vol. 51(1), pages 155-170, April.
    4. Palfrey, Thomas R. & Rosenthal, Howard, 1984. "Participation and the provision of discrete public goods: a strategic analysis," Journal of Public Economics, Elsevier, vol. 24(2), pages 171-193, July.
    5. Siegfried K. Berninghaus & Thomas Neumann & Bodo Vogt, 2014. "Learning in Networks—An Experimental Study Using Stationary Concepts," Games, MDPI, vol. 5(3), pages 1-20, July.
    6. Tumennasan, Norovsambuu, 2013. "To err is human: Implementation in quantal response equilibria," Games and Economic Behavior, Elsevier, vol. 77(1), pages 138-152.
    7. Kale, Jayant R & Noe, Thomas H, 1997. "Unconditional and Conditional Takeover Offers: Experimental Evidence," The Review of Financial Studies, Society for Financial Studies, vol. 10(3), pages 735-766.
    8. Philip A. Haile & Ali Hortaçsu & Grigory Kosenok, 2008. "On the Empirical Content of Quantal Response Equilibrium," American Economic Review, American Economic Association, vol. 98(1), pages 180-200, March.
    9. Cadsby, C Bram & Maynes, Elizabeth, 1998. "Corporate Takeovers in the Laboratory When Shareholders Own More Than One Share," The Journal of Business, University of Chicago Press, vol. 71(4), pages 537-572, October.
    10. Chmura, Thorsten & Goerg, Sebastian J. & Selten, Reinhard, 2012. "Learning in experimental 2×2 games," Games and Economic Behavior, Elsevier, vol. 76(1), pages 44-73.
    11. McKelvey Richard D. & Palfrey Thomas R., 1995. "Quantal Response Equilibria for Normal Form Games," Games and Economic Behavior, Elsevier, vol. 10(1), pages 6-38, July.
    12. Selten, Reinhard & Stoecker, Rolf, 1986. "End behavior in sequences of finite Prisoner's Dilemma supergames A learning theory approach," Journal of Economic Behavior & Organization, Elsevier, vol. 7(1), pages 47-70, March.
    13. Rachel Croson & Melanie Marks, 2000. "Step Returns in Threshold Public Goods: A Meta- and Experimental Analysis," Experimental Economics, Springer;Economic Science Association, vol. 2(3), pages 239-259, March.
    14. Jacob Goeree & Charles Holt & Thomas Palfrey, 2005. "Regular Quantal Response Equilibrium," Experimental Economics, Springer;Economic Science Association, vol. 8(4), pages 347-367, December.
    15. Reinhard Selten & Klaus Abbink & Ricarda Cox, 2005. "Learning Direction Theory and the Winner’s Curse," Experimental Economics, Springer;Economic Science Association, vol. 8(1), pages 5-20, April.
    16. Holmstrom, Bengt & Nalebuff, Barry, 1992. "To the Raider Goes the Surplus? A Reexamination of the Free-Rider Problem," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 1(1), pages 37-62, Spring.
    17. Cartwright, Edward & Stepanova, Anna, 2015. "The consequences of a refund in threshold public good games," Economics Letters, Elsevier, vol. 134(C), pages 29-33.
    18. repec:bla:jfinan:v:59:y:2004:i:3:p:1325-1344 is not listed on IDEAS
    19. Reinhard Selten & Thorsten Chmura, 2008. "Stationary Concepts for Experimental 2x2-Games," American Economic Review, American Economic Association, vol. 98(3), pages 938-966, June.
    20. Rapoport, Amnon & Eshed-Levy, Dalit, 1989. "Provision of step-level public goods: Effects of greed and fear of being gypped," Organizational Behavior and Human Decision Processes, Elsevier, vol. 44(3), pages 325-344, December.
    21. Nagel, Rosemarie, 1995. "Unraveling in Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 85(5), pages 1313-1326, December.
    22. Schram, Arthur & Offerman, Theo & Sonnemans, Joep, 2008. "Explaining the Comparative Statics in Step-Level Public Good Games," Handbook of Experimental Economics Results, in: Charles R. Plott & Vernon L. Smith (ed.), Handbook of Experimental Economics Results, edition 1, volume 1, chapter 86, pages 817-824, Elsevier.
    23. Selten, Reinhard, 1998. "Features of experimentally observed bounded rationality," European Economic Review, Elsevier, vol. 42(3-5), pages 413-436, May.
    24. Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer;Economic Science Association, vol. 10(2), pages 171-178, June.
    25. Timothy N. Cason & Daniel Friedman, 1997. "Price Formation in Single Call Markets," Econometrica, Econometric Society, vol. 65(2), pages 311-346, March.
    26. Neugebauer, Tibor & Selten, Reinhard, 2006. "Individual behavior of first-price auctions: The importance of information feedback in computerized experimental markets," Games and Economic Behavior, Elsevier, vol. 54(1), pages 183-204, January.
    27. Rapoport, Amnon, 1985. "Provision of Public Goods and the MCS Experimental Paradigm," American Political Science Review, Cambridge University Press, vol. 79(1), pages 148-155, March.
    28. Federica Alberti & Edward J. Cartwright, 2016. "Full agreement and the provision of threshold public goods," Public Choice, Springer, vol. 166(1), pages 205-233, January.
    29. Offerman, Theo & Schram, Arthur & Sonnemans, Joep, 1998. "Quantal response models in step-level public good games," European Journal of Political Economy, Elsevier, vol. 14(1), pages 89-100, February.
    30. Charles Cadsby & Rachel Croson & Melanie Marks & Elizabeth Maynes, 2008. "Step return versus net reward in the voluntary provision of a threshold public good: An adversarial collaboration," Public Choice, Springer, vol. 135(3), pages 277-289, June.
    31. Offerman, Theo & Sonnemans, Joep & Schram, Arthur, 2001. "Expectation Formation in Step-Level Public Good Games," Economic Inquiry, Western Economic Association International, vol. 39(2), pages 250-269, April.
    32. John H. Kagel & Dan Levin, 1999. "Common Value Auctions with Insider Information," Econometrica, Econometric Society, vol. 67(5), pages 1219-1238, September.
    33. Axel Ockenfels & Reinhard Selten, 2015. "Impulse Balance and Multiple-Period Feedback in the Newsvendor Game," Production and Operations Management, Production and Operations Management Society, vol. 24(12), pages 1901-1906, December.
    34. Timothy Cason & Daniel Friedman, 1999. "Learning in a Laboratory Market with Random Supply and Demand," Experimental Economics, Springer;Economic Science Association, vol. 2(1), pages 77-98, August.
    35. Sanford J. Grossman & Oliver D. Hart, 1980. "Takeover Bids, the Free-Rider Problem, and the Theory of the Corporation," Bell Journal of Economics, The RAND Corporation, vol. 11(1), pages 42-64, Spring.
    36. Offerman, Theo & Sonnemans, Joep & Schram, Arthur, 1996. "Value Orientations, Expectations and Voluntary Contributions in Public Goods," Economic Journal, Royal Economic Society, vol. 106(437), pages 817-845, July.
    37. R. Isaac & David Schmidtz & James Walker, 1989. "The assurance problem in a laboratory market," Public Choice, Springer, vol. 62(3), pages 217-236, September.
    38. van de Kragt, Alphons J. C. & Orbell, John M. & Dawes, Robyn M., 1983. "The Minimal Contributing Set as a Solution to Public Goods Problems," American Political Science Review, Cambridge University Press, vol. 77(1), pages 112-122, March.
    39. Dawes, Robyn M. & Orbell, John M. & Simmons, Randy T. & Van De Kragt, Alphons J. C., 1986. "Organizing Groups for Collective Action," American Political Science Review, Cambridge University Press, vol. 80(4), pages 1171-1185, December.
    40. Reinhard Selten & Klaus Abbink & Ricarda Cox, 2005. "Learning Direction Theory and the Winner’s Curse," Experimental Economics, Springer;Economic Science Association, vol. 8(1), pages 5-20, April.
    41. Goeree, Jacob K. & Holt, Charles A., 2005. "An Explanation of Anomalous Behavior in Models of Political Participation," American Political Science Review, Cambridge University Press, vol. 99(2), pages 201-213, May.
    42. Ockenfels, Axel & Selten, Reinhard, 2014. "Impulse balance in the newsvendor game," Games and Economic Behavior, Elsevier, vol. 86(C), pages 237-247.
    43. Mark Bagnoli, Barton L. Lipman, 1988. "Successful Takeovers without Exclusion," The Review of Financial Studies, Society for Financial Studies, vol. 1(1), pages 89-110.
    44. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Edward Cartwright & Anna Stepanova & Lian Xue, 2019. "Impulse balance and framing effects in threshold public good games," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 21(5), pages 903-922, October.
    2. Bouma, J.A. & Nguyen, Binh & van der Heijden, Eline & Dijk, J.J., 2018. "Analysing Group Contract Design Using a Lab and a Lab-in-the-Field Threshold Public Good Experiment," Discussion Paper 2018-049, Tilburg University, Center for Economic Research.
    3. Federica Alberti & Anna Cartwright & Edward Cartwright, 2021. "Predicting Efficiency in Threshold Public Good Games: A Learning Direction Theory Approach," Working Papers in Economics & Finance 2021-01, University of Portsmouth, Portsmouth Business School, Economics and Finance Subject Group.
    4. P. Battiston & L. Chollete & S. Harrison, 2022. "May The Forcing Be With You: Experimental Evidence on Mandatory Contributions to Public Goods," Economics Department Working Papers 2022-EP01, Department of Economics, Parma University (Italy).
    5. Lorán Chollete & Sharon G. Harrison, 2021. "Unintended Consequences: Ambiguity Neglect and Policy Ineffectiveness," Eastern Economic Journal, Palgrave Macmillan;Eastern Economic Association, vol. 47(2), pages 206-226, April.

    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. Federica Alberti & Anna Cartwright & Edward Cartwright, 2021. "Predicting Efficiency in Threshold Public Good Games: A Learning Direction Theory Approach," Working Papers in Economics & Finance 2021-01, University of Portsmouth, Portsmouth Business School, Economics and Finance Subject Group.
    2. Feige, Christian, 2015. "Success rates in simplified threshold public goods games: A theoretical model," Working Paper Series in Economics 70, Karlsruhe Institute of Technology (KIT), Department of Economics and Management.
    3. Edward Cartwright & Anna Stepanova & Lian Xue, 2019. "Impulse balance and framing effects in threshold public good games," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 21(5), pages 903-922, October.
    4. Alan Kirman & François Laisney & Paul Pezanis-Christou, 2023. "Relaxing the symmetry assumption in participation games: a specification test for cluster-heterogeneity," Experimental Economics, Springer;Economic Science Association, vol. 26(4), pages 850-878, September.
    5. Maoliang Ye & Jie Zheng & Plamen Nikolov & Sam Asher, 2020. "One Step at a Time: Does Gradualism Build Coordination?," Management Science, INFORMS, vol. 66(1), pages 113-129, January.
    6. Sebastian J. Goerg & Tibor Neugebauer & Abdolkarim Sadrieh, 2016. "Impulse Response Dynamics in Weakest Link Games," German Economic Review, Verein für Socialpolitik, vol. 17(3), pages 284-297, August.
    7. Kirman, Alan P. & Laisney, François & Pezanis-Christou, Paul, 2018. "Exploration vs exploitation, impulse balance equilibrium, and a specification test for the El Farol bar problem," ZEW Discussion Papers 18-038, ZEW - Leibniz Centre for European Economic Research.
    8. Federica Alberti & Edward J. Cartwright, 2016. "Full agreement and the provision of threshold public goods," Public Choice, Springer, vol. 166(1), pages 205-233, January.
    9. Ockenfels, Axel & Selten, Reinhard, 2014. "Impulse balance in the newsvendor game," Games and Economic Behavior, Elsevier, vol. 86(C), pages 237-247.
    10. Federica Alberti & Edward J. Cartwright & Anna Stepanova, 2012. "Threshold public good games and impulse balance theory," Jena Economics Research Papers 2011-062, Friedrich-Schiller-University Jena.
    11. Anauati, María Victoria & Feld, Brian & Galiani, Sebastian & Torrens, Gustavo, 2016. "Collective action: Experimental evidence," Games and Economic Behavior, Elsevier, vol. 99(C), pages 36-55.
    12. Shakun D. Mago & Jennifer Pate, 2023. "Greed and fear: Competitive and charitable priming in a threshold volunteer's dilemma," Economic Inquiry, Western Economic Association International, vol. 61(1), pages 138-161, January.
    13. Wilfred Amaldoss & Teck-Hua Ho & Aradhna Krishna & Kay-Yut Chen & Preyas Desai & Ganesh Iyer & Sanjay Jain & Noah Lim & John Morgan & Ryan Oprea & Joydeep Srivasatava, 2008. "Experiments on strategic choices and markets," Marketing Letters, Springer, vol. 19(3), pages 417-429, December.
    14. Krügel, Jan Philipp & Traub, Stefan, 2018. "Reciprocity and resistance to change: An experimental study," Journal of Economic Behavior & Organization, Elsevier, vol. 147(C), pages 95-114.
    15. Gee, Laura K. & Schreck, Michael J., 2018. "Do beliefs about peers matter for donation matching? Experiments in the field and laboratory," Games and Economic Behavior, Elsevier, vol. 107(C), pages 282-297.
    16. James Andreoni & Laura Gee, 2015. "Gunning for efficiency with third party enforcement in threshold public goods," Experimental Economics, Springer;Economic Science Association, vol. 18(1), pages 154-171, March.
    17. Crawford, VP, 2014. "Boundedly rational versus optimization-based models of strategic thinking and learning in games," University of California at San Diego, Economics Working Paper Series qt04h694rz, Department of Economics, UC San Diego.
    18. Laura Gee & Michael Schreck, 2016. "Do Beliefs About Peers Matter for Donation Matching? Experiments in the Field and Laboratory," Framed Field Experiments 00538, The Field Experiments Website.
    19. Neugebauer, Tibor & Selten, Reinhard, 2006. "Individual behavior of first-price auctions: The importance of information feedback in computerized experimental markets," Games and Economic Behavior, Elsevier, vol. 54(1), pages 183-204, January.
    20. Selten, Reinhard & Neugebauer, Tibor, 2019. "Experimental stock market dynamics: Excess bids, directional learning, and adaptive style-investing in a call-auction with multiple multi-period lived assets," Journal of Economic Behavior & Organization, Elsevier, vol. 157(C), pages 209-224.

    More about this item

    Keywords

    Public good; Threshold; Impulse balance theory; Quantal response; Forced contribution; Ordinal potential;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior

    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:jogath:v:46:y:2017:i:4:d:10.1007_s00182-017-0570-1. 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.