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The instability of the voluntary contribution mechanism

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  • Tatsuyoshi Saijo

    (School of Management, Kochi University of Technology)

Abstract

I consider systems with voluntary contribution mechanisms (VCM) in a quasilinear environment, showing that they are not asymptotically stable under simultaneous difference equations, and are structurally unstable under simultaneous differential equations. However, a VCM system is stable in a Cobb–Douglas (CD) environment under simultaneous differential equations; it is also stable under simultaneous difference equations given conditions on the slope of best response functions and the number of players. Most of the parameters investigated in nonlinear experiments on the VCM so far have been on the boundaries between stability and instability, and there has been hardly any work on instability. Therefore, research on the private provision of public goods faces a new challenge in addition to free riding.

Suggested Citation

  • Tatsuyoshi Saijo, 2014. "The instability of the voluntary contribution mechanism," Working Papers SDES-2014-3, Kochi University of Technology, School of Economics and Management, revised Oct 2014.
    • Handle: RePEc:kch:wpaper:sdes-2014-3
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    File URL: http://www.souken.kochi-tech.ac.jp/seido/wp/SDES-2014-3.pdf
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    References listed on IDEAS

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    1. Matthias Sutter & Hannelore Weck-Hannemann, 2004. "An Experimental Test of the Public Goods Crowing Out Hypothesis when Taxation Is Endogenous," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 60(1), pages 94-110, April.
    2. Jonathan Maurice & Agathe Rouaix & Marc Willinger, 2013. "Income Redistribution And Public Good Provision: An Experiment," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 54(3), pages 957-975, August.
    3. Timothy Cason & Tatsuyoshi Saijo & Takehiko Yamato, 2002. "Voluntary Participation and Spite in Public Good Provision Experiments: An International Comparison," Experimental Economics, Springer;Economic Science Association, vol. 5(2), pages 133-153, October.
    4. Andreoni, James, 1993. "An Experimental Test of the Public-Goods Crowding-Out Hypothesis," American Economic Review, American Economic Association, vol. 83(5), pages 1317-1327, December.
    5. Kenneth S. Chan & Stuart Mestelman & Rob Moir & R. Andrew Muller Moir, 1996. "The Voluntary Provision of Public Goods under Varying Income Distributions," Canadian Journal of Economics, Canadian Economics Association, vol. 29(1), pages 54-69, February.
    6. Neslihan Uler, 2011. "Public goods provision, inequality and taxes," Experimental Economics, Springer;Economic Science Association, vol. 14(3), pages 287-306, September.
    7. Mark Isaac, R. & McCue, Kenneth F. & Plott, Charles R., 1985. "Public goods provision in an experimental environment," Journal of Public Economics, Elsevier, vol. 26(1), pages 51-74, February.
    8. Josef Falkinger, 2000. "A Simple Mechanism for the Efficient Provision of Public Goods: Experimental Evidence," American Economic Review, American Economic Association, vol. 90(1), pages 247-264, March.
    9. van Dijk, Frans & Sonnemans, Joep & van Winden, Frans, 2002. "Social ties in a public good experiment," Journal of Public Economics, Elsevier, vol. 85(2), pages 275-299, August.
    10. Anderson, Simon P. & Goeree, Jacob K. & Holt, Charles A., 1998. "A theoretical analysis of altruism and decision error in public goods games," Journal of Public Economics, Elsevier, vol. 70(2), pages 297-323, November.
    11. Laury, Susan K & Walker, James M & Williams, Arlington W, 1999. "The Voluntary Provision of a Pure Public Good with Diminishing Marginal Returns," Public Choice, Springer, vol. 99(1-2), pages 139-160, April.
    12. Sefton, Martin & Steinberg, Richard, 1996. "Reward structures in public good experiments," Journal of Public Economics, Elsevier, vol. 61(2), pages 263-287, August.
    13. R. Isaac & James Walker, 1998. "Nash as an Organizing Principle in the Voluntary Provision of Public Goods: Experimental Evidence," Experimental Economics, Springer;Economic Science Association, vol. 1(3), pages 191-206, December.
    14. Keser, Claudia, 1996. "Voluntary contributions to a public good when partial contribution is a dominant strategy," Economics Letters, Elsevier, vol. 50(3), pages 359-366, March.
    15. Bergstrom, Theodore & Blume, Lawrence & Varian, Hal, 1986. "On the private provision of public goods," Journal of Public Economics, Elsevier, vol. 29(1), pages 25-49, February.
    16. Tatsuyoshi Saijo & Yutaka Kobayashi, 2014. "The Instability of the Nash Equilibrium in Common-Pool Resources," Working Papers SDES-2014-5, Kochi University of Technology, School of Economics and Management, revised Oct 2014.
    17. Laury, Susan K. & Holt, Charles A., 2008. "Voluntary Provision of Public Goods: Experimental Results with Interior Nash Equilibria," Handbook of Experimental Economics Results, in: Charles R. Plott & Vernon L. Smith (ed.), Handbook of Experimental Economics Results, edition 1, volume 1, chapter 84, pages 792-801, Elsevier.
    18. Johansen, Leif, 1977. "The theory of public goods: Misplaced emphasis?," Journal of Public Economics, Elsevier, vol. 7(1), pages 147-152, February.
    19. Ostrom, Elinor, 2006. "The value-added of laboratory experiments for the study of institutions and common-pool resources," Journal of Economic Behavior & Organization, Elsevier, vol. 61(2), pages 149-163, October.
    20. 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.
    21. Jonathan Maurice & Agathe Rouaix & Marc Willinger, 2013. "Income Redistribution And Public Good Provision: An Experiment," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 54, pages 957-975, August.
    22. 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.
    23. Guala,Francesco, 2005. "The Methodology of Experimental Economics," Cambridge Books, Cambridge University Press, number 9780521618618, September.
    24. Timothy Cason & Lata Gangadharan, 2015. "Promoting cooperation in nonlinear social dilemmas through peer punishment," Experimental Economics, Springer;Economic Science Association, vol. 18(1), pages 66-88, March.
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    Cited by:

    1. Feng, Jun & Saijo, Tatsuyoshi & Shen, Junyi & Qin, Xiangdong, 2018. "Instability in the voluntary contribution mechanism with a quasi-linear payoff function: An experimental analysis," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 72(C), pages 67-77.
    2. Philip D. Grech, 2019. "Give and Let Give: Alternative Mechanisms Based on Voluntary Contributions," Games, MDPI, vol. 10(2), pages 1-11, May.
    3. Tatsuyoshi Saijo, 2020. "Global Stability of Voluntary Contribution Mechanism with Heterogeneous Preferences," Working Papers SDES-2020-6, Kochi University of Technology, School of Economics and Management, revised Jul 2020.
    4. Tatsuyoshi Saijo, 2015. "The sandwich property in the voluntary contribution mechanism:The instability approach," Working Papers SDES-2015-13, Kochi University of Technology, School of Economics and Management, revised Mar 2015.

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    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

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