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Conditional Cooperation and the Marginal per Capita Return in Public Good Games

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  • Edward J. Cartwright

    (School of Economics, University of Kent, Canterbury, Kent CT2 7NP, UK)

  • Denise Lovett

    (School of Economics, University of Kent, Canterbury, Kent CT2 7NP, UK)

Abstract

We investigate experimentally whether the extent of conditional cooperation in public good games depends on the marginal per capita return (MPCR) to the public good and type of game. The MPCR is varied from 0.2 to 0.4 to 0.8. The ‘standard’ game, in which three players contribute before a follower, is compared with a leader-follower game, in which one player leads and three follow. Even though we observe less conditional cooperation for an MPCR of 0.2, the prevalence of conditional cooperation remains relatively stable to changes in the MPCR and game timing. In contrast, the level of MPCR has a strong effect on unconditional contributions. Our results highlight the critical role played by leaders in a public good game.

Suggested Citation

  • Edward J. Cartwright & Denise Lovett, 2014. "Conditional Cooperation and the Marginal per Capita Return in Public Good Games," Games, MDPI, vol. 5(4), pages 1-23, November.
  • Handle: RePEc:gam:jgames:v:5:y:2014:i:4:p:234-256:d:42378
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    1. Guth, Werner & Levati, M. Vittoria & Sutter, Matthias & van der Heijden, Eline, 2007. "Leading by example with and without exclusion power in voluntary contribution experiments," Journal of Public Economics, Elsevier, vol. 91(5-6), pages 1023-1042, June.
    2. Jan Potters & Martin Sefton & Lise Vesterlund, 2007. "Leading-by-example and signaling in voluntary contribution games: an experimental study," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(1), pages 169-182, October.
    3. Fischbacher, Urs & Gächter, Simon & Quercia, Simone, 2012. "The behavioral validity of the strategy method in public good experiments," Journal of Economic Psychology, Elsevier, vol. 33(4), pages 897-913.
    4. Falk, Armin & Fischbacher, Urs, 2006. "A theory of reciprocity," Games and Economic Behavior, Elsevier, vol. 54(2), pages 293-315, February.
    5. Fabrice Etilé & Pierre Combris & Urs Fischbacher & Simeon Schudy & Sabrina Teyssier, 2014. "Heterogeneous reactions to heterogeneity in returns from public goods," PSE-Ecole d'économie de Paris (Postprint) hal-02076872, HAL.
    6. Martinsson, Peter & Pham-Khanh, Nam & Villegas-Palacio, Clara, 2013. "Conditional cooperation and disclosure in developing countries," Journal of Economic Psychology, Elsevier, vol. 34(C), pages 148-155.
    7. Fischbacher, Urs & Gachter, Simon & Fehr, Ernst, 2001. "Are people conditionally cooperative? Evidence from a public goods experiment," Economics Letters, Elsevier, vol. 71(3), pages 397-404, June.
    8. Maria Fernanda Rivas & Matthias Sutter, 2008. "The dos and don'ts of leadership in sequential public goods experiments," Working Papers 2008-25, Faculty of Economics and Statistics, Universität Innsbruck.
    9. Simon Gächter & Daniele Nosenzo & Elke Renner & Martin Sefton, 2012. "Who Makes A Good Leader? Cooperativeness, Optimism, And Leading-By-Example," Economic Inquiry, Western Economic Association International, vol. 50(4), pages 953-967, October.
    10. Edward Cartwright & Amrish Patel, 2010. "Imitation and the Incentive to Contribute Early in a Sequential Public Good Game," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 12(4), pages 691-708, August.
    11. Kocher, Martin G. & Cherry, Todd & Kroll, Stephan & Netzer, Robert J. & Sutter, Matthias, 2008. "Conditional cooperation on three continents," Economics Letters, Elsevier, vol. 101(3), pages 175-178, December.
    12. Ernst Fehr & Klaus M. Schmidt, 1999. "A Theory of Fairness, Competition, and Cooperation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 817-868.
    13. Axel Ockenfels & Gary E. Bolton, 2000. "ERC: A Theory of Equity, Reciprocity, and Competition," American Economic Review, American Economic Association, vol. 90(1), pages 166-193, March.
    14. Rivas, M. Fernanda & Sutter, Matthias, 2011. "The benefits of voluntary leadership in experimental public goods games," Economics Letters, Elsevier, vol. 112(2), pages 176-178, August.
    15. Urs Fischbacher & Simon Gachter, 2010. "Social Preferences, Beliefs, and the Dynamics of Free Riding in Public Goods Experiments," American Economic Review, American Economic Association, vol. 100(1), pages 541-556, March.
    16. Edward Cartwright & Joris Gillet & Mark Van Vugt, 2013. "Leadership By Example In The Weak-Link Game," Economic Inquiry, Western Economic Association International, vol. 51(4), pages 2028-2043, October.
    17. 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.
    18. Dirk Engelmann & Martin Strobel, 2004. "Inequality Aversion, Efficiency, and Maximin Preferences in Simple Distribution Experiments," American Economic Review, American Economic Association, vol. 94(4), pages 857-869, September.
    19. Urs Fischbacher & Simeon Schudy & Sabrina Teyssier, 2014. "Heterogeneous reactions to heterogeneity in returns from public goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(1), pages 195-217, June.
    20. Jordi Brandts & Gary Charness, 2000. "Hot vs. Cold: Sequential Responses and Preference Stability in Experimental Games," Experimental Economics, Springer;Economic Science Association, vol. 2(3), pages 227-238, March.
    21. Claudia Keser & Frans Van Winden, 2000. "Conditional Cooperation and Voluntary Contributions to Public Goods," Scandinavian Journal of Economics, Wiley Blackwell, vol. 102(1), pages 23-39, March.
    22. 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.
    23. Kamei, Kenju, 2012. "From locality to continent: A comment on the generalization of an experimental study," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 41(2), pages 207-210.
    24. Emrah Arbak & Marie-Claire Villeval, 2013. "Voluntary leadership: motivation and influence," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(3), pages 635-662, March.
    25. Weber, Roberto A., 2003. "'Learning' with no feedback in a competitive guessing game," Games and Economic Behavior, Elsevier, vol. 44(1), pages 134-144, July.
    26. Volk, Stefan & Thöni, Christian & Ruigrok, Winfried, 2012. "Temporal stability and psychological foundations of cooperation preferences," Journal of Economic Behavior & Organization, Elsevier, vol. 81(2), pages 664-676.
    27. Roberto Weber & Colin Camerer & Yuval Rottenstreich & Marc Knez, 2001. "The Illusion of Leadership: Misattribution of Cause in Coordination Games," Organization Science, INFORMS, vol. 12(5), pages 582-598, October.
    28. Kristina Leipold & Nora C. Vetter & Marcus Dittrich & Marco Lehmann-Waffenschmidt & Matthias Kliegel, 2012. "Individual and Developmental Differences in the Relationship of Preferences and Theory of Mind," CESifo Working Paper Series 4053, CESifo.
    29. Jordi Brandts & Gary Charness, 2011. "The strategy versus the direct-response method: a first survey of experimental comparisons," Experimental Economics, Springer;Economic Science Association, vol. 14(3), pages 375-398, September.
    30. Goeree, Jacob K. & Holt, Charles A. & Laury, Susan K., 2002. "Private costs and public benefits: unraveling the effects of altruism and noisy behavior," Journal of Public Economics, Elsevier, vol. 83(2), pages 255-276, February.
    31. Benedikt Herrmann & Christian Thöni, 2009. "Measuring conditional cooperation: a replication study in Russia," Experimental Economics, Springer;Economic Science Association, vol. 12(1), pages 87-92, March.
    32. Isaac, R. Mark & Walker, James M. & Williams, Arlington W., 1994. "Group size and the voluntary provision of public goods : Experimental evidence utilizing large groups," Journal of Public Economics, Elsevier, vol. 54(1), pages 1-36, May.
    33. Gächter, Simon & Nosenzo, Daniele & Renner, Elke & Sefton, Martin, 2010. "Sequential vs. simultaneous contributions to public goods: Experimental evidence," Journal of Public Economics, Elsevier, vol. 94(7-8), pages 515-522, August.
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    Cited by:

    1. Béatrice BOULU-RESHEF & Nina RAPOPORT, "undated". "Voluntary contributions in cascades: The tragedy of ill-informed leadership," LEO Working Papers / DR LEO 2824, Orleans Economics Laboratory / Laboratoire d'Economie d'Orleans (LEO), University of Orleans.
    2. Béatrice Boulu-Reshef & Nina Rapoport, 2020. "Voluntary contributions in cascades: The tragedy of ill-informed leadership," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-02977853, HAL.
    3. Vyrastekova, Jana & Funaki, Yukihiko, 2018. "Cooperation in a sequential dilemma game: How much transparency is good for cooperation?," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 77(C), pages 88-95.
    4. Markus Sass & Florian Timme & Joachim Weimann, 2018. "Cooperation of Pairs," Games, MDPI, vol. 9(3), pages 1-34, September.
    5. Angelovski, Andrej & Di Cagno, Daniela & Güth, Werner & Marazzi, Francesca & Panaccione, Luca, 2018. "Behavioral spillovers in local public good provision: An experimental study," Journal of Economic Psychology, Elsevier, vol. 67(C), pages 116-134.
    6. Eichenseer, Michael & Moser, Johannes, 2020. "Conditional cooperation: Type stability across games," Economics Letters, Elsevier, vol. 188(C).
    7. Francesco Fallucchi & R. Andrew Luccasen & Theodore L. Turocy, 2017. "Behavioural types in public goods games: A re-analysis by hierarchical clutering," Working Paper series, University of East Anglia, Centre for Behavioural and Experimental Social Science (CBESS) 17-01, School of Economics, University of East Anglia, Norwich, UK..
    8. Aurélie Dariel, 2018. "Conditional Cooperation and Framing Effects," Games, MDPI, vol. 9(2), pages 1-12, June.
    9. Francesco Fallucchi & R. Andrew Luccasen & Theodore L. Turocy, 2017. "Behavioural types in public goods games: A re-analysis by hierarchical clutering," Working Paper series, University of East Anglia, Centre for Behavioural and Experimental Social Science (CBESS) 17-01R, School of Economics, University of East Anglia, Norwich, UK..
    10. Edward Cartwright & Michalis Drouvelis, 2020. "Social Framing Effects in Leadership: Preferences or Beliefs?," CESifo Working Paper Series 8600, CESifo.
    11. Francesco Fallucchi & R. Andrew Luccasen & Theodore L. Turocy, 2019. "Identifying discrete behavioural types: a re-analysis of public goods game contributions by hierarchical clustering," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 5(2), pages 238-254, December.
    12. Yansong Li & Zhenliang Liu & Yuqian Wang & Edmund Derrington & Frederic Moisan & Jean-Claude Dreher, 2023. "Spillover effects of competition outcome on future risky cooperation," Post-Print hal-04325682, HAL.

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