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Pareto-optimality in Linear Public Goods Games

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  • Sascha Hokamp
  • Michael Pickhardt

Abstract

We derive a generalized method for calculating the total number of Paretooptimal allocations (NOPA) in typical linear public goods games. Among other things, the method allows researchers to develop new experimental designs for testing the relevance of Pareto-optimality in experimental settings, for investigating alternative causes of the decline of voluntary contributions, or for analyzing the contribution behavior of the rich and poor in heterogeneous income settings. Further findings include that the NOPA is related to the marginal per capita return (MPCR) of a contribution to the public good and that the maximum number of free-riders tolerated by the Paretooptimality concept is independent from the group size and income distribution. Finally, we apply our findings to a number of published linear public goods games, suggest an agenda for future research and provide a MATLAB code.

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Bibliographic Info

Paper provided by Institute of Spatial and Housing Economics, Munster Universitary in its series Working Papers with number 201171.

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Handle: RePEc:muc:wpaper:201171

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Related research

Keywords: linear public goods games; Pareto-optimality; public goods experiments; behavioral economics; free-rider; heterogeneous incomes; heterogeneous MPCRs;

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References

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  1. Jeffrey Carpenter, 2002. "When In Rome: Conformity and the Provision of Public Goods," Middlebury College Working Paper Series 0217, Middlebury College, Department of Economics.
  2. Andreoni, James & Petrie, Ragan, 2004. "Public goods experiments without confidentiality: a glimpse into fund-raising," Journal of Public Economics, Elsevier, vol. 88(7-8), pages 1605-1623, July.
  3. Ananish Chaudhuri, 2011. "Sustaining cooperation in laboratory public goods experiments: a selective survey of the literature," Experimental Economics, Springer, vol. 14(1), pages 47-83, March.
  4. James C. Cox & Vjollca Sadiraj, 2006. "On Modeling Voluntary Contributions to Public Goods," Experimental Economics Center Working Paper Series 2006-26, Experimental Economics Center, Andrew Young School of Policy Studies, Georgia State University.
  5. Cécile Bazart & Michael Pickhardt, 2011. "Fighting Income Tax Evasion with Positive Rewards," Public Finance Review, , vol. 39(1), pages 124-149, January.
  6. Cécile Bazart & Michael Pickhardt, 2009. "Fighting Income Tax Evasion with Positive Rewards: Experimental Evidence," Working Papers 09-01, LAMETA, Universtiy of Montpellier, revised Jun 2009.
  7. Cherry, Todd L. & Kroll, Stephan & Shogren, Jason F., 2005. "The impact of endowment heterogeneity and origin on public good contributions: evidence from the lab," Journal of Economic Behavior & Organization, Elsevier, vol. 57(3), pages 357-365, July.
  8. Roberto Burlando & Francesco Guala, 2005. "Heterogeneous Agents in Public Goods Experiments," Experimental Economics, Springer, vol. 8(1), pages 35-54, April.
  9. Bardsley, Nicholas & Sausgruber, Rupert, 2005. "Conformity and reciprocity in public good provision," Journal of Economic Psychology, Elsevier, vol. 26(5), pages 664-681, October.
  10. Laurent Denant-Boemont & David Masclet & Charles Noussair, 2007. "Punishment, counterpunishment and sanction enforcement in a social dilemma experiment," Economic Theory, Springer, vol. 33(1), pages 145-167, October.
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Cited by:
  1. Hokamp, Sascha, 2014. "Dynamics of tax evasion with back auditing, social norm updating, and public goods provision – An agent-based simulation," Journal of Economic Psychology, Elsevier, vol. 40(C), pages 187-199.
  2. Pickhardt, Michael, 2011. "Pareto meets Olson: A note on Pareto-optimality and group size in linear public goods games," CAWM Discussion Papers 48, Center of Applied Economic Research Münster (CAWM), University of Münster.

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