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Pareto-optimality in linear public goods games

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  • Hokamp, Sascha
  • Pickhardt, Michael

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 Center of Applied Economic Research Münster (CAWM), University of Münster in its series CAWM Discussion Papers with number 45.

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Date of creation: 2011
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Handle: RePEc:zbw:cawmdp:45

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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. Bardsley, Nicholas & Sausgruber, Rupert, 2005. "Conformity and reciprocity in public good provision," Journal of Economic Psychology, Elsevier, vol. 26(5), pages 664-681, October.
  2. Rachel T. A. Croson, 2007. "Theories Of Commitment, Altruism And Reciprocity: Evidence From Linear Public Goods Games," Economic Inquiry, Western Economic Association International, vol. 45(2), pages 199-216, 04.
  3. Matthias Cinyabuguma & Talbot Page & Louis Putterman, 2004. "Cooperation Under the Threat of Expulsion in a Public Goods Experiment," Working Papers 2004-05, Brown University, Department of Economics.
  4. James Andreoni & Ragan Petrie, 2003. "Public Goods Experiments Without Confidentiality: A Glimpse Into Fund-Raising," Levine's Working Paper Archive 506439000000000520, David K. Levine.
  5. Todd L. Cherry & Stephan Kroll & Jason F. Shogren, 2003. "The Impact of Endowment Heterogeneity and Origin on Public Good Contributions: Evidence from the Lab," Working Papers 03-05, Department of Economics, Appalachian State University.
  6. 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.
  7. Carpenter, Jeffrey P., 2004. "When in Rome: conformity and the provision of public goods," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 33(4), pages 395-408, September.
  8. Ernst Fehr & Simon Gaechter, 1999. "Cooperation and Punishment in Public Goods Experiments," CESifo Working Paper Series 183, CESifo Group Munich.
  9. 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.
  10. Denant-Boemont, L. & Masclet, D. & Noussair, C.N., 2007. "Punishment, counterpunishment, and sanction enforcement in a social dilemma experiment," Open Access publications from Tilburg University urn:nbn:nl:ui:12-284310, Tilburg University.
  11. Andreoni, James, 1995. "Cooperation in Public-Goods Experiments: Kindness or Confusion?," American Economic Review, American Economic Association, vol. 85(4), pages 891-904, September.
  12. 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.
  13. Roberto Burlando & Francesco Guala, 2005. "Heterogeneous Agents in Public Goods Experiments," Experimental Economics, Springer, vol. 8(1), pages 35-54, April.
  14. Buckley, Edward & Croson, Rachel, 2006. "Income and wealth heterogeneity in the voluntary provision of linear public goods," Journal of Public Economics, Elsevier, vol. 90(4-5), pages 935-955, May.
  15. Cécile Bazart & Michael Pickhardt, 2011. "Fighting Income Tax Evasion with Positive Rewards," Public Finance Review, , vol. 39(1), pages 124-149, January.
  16. Brandts, Jordi & Schram, Arthur, 2001. "Cooperation and noise in public goods experiments: applying the contribution function approach," Journal of Public Economics, Elsevier, vol. 79(2), pages 399-427, February.
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Cited by:
  1. Michael Pickhardt, . "Pareto meets Olson – A Note on Pareto-optimality and Group Size in Linear Public Goods Games," Working Papers 201174, Institute of Spatial and Housing Economics, Munster Universitary.
  2. 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.

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