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The minimum approval mechanism implements the efficient public good allocation theoretically and experimentally

Author

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  • Masuda, Takehito
  • Okano, Yoshitaka
  • Saijo, Tatsuyoshi

Abstract

We propose the minimum approval mechanism (MAM) for a standard linear public good environment with two players. Players simultaneously and privately choose their contributions to the public good in the first stage. In the second stage, they simultaneously decide whether to approve the otherʼs choice. Both contribute what they choose in the first stage if both players approve; otherwise, both contribute the minimum of the two choices in the first stage. The MAM implements the Pareto-efficient allocation in multiple solution concepts including backward elimination of weakly dominated strategies (BEWDS), limit logit agent quantal response equilibrium, subgame perfect minimax regret equilibrium, level-k thinking, and diagonalization heuristics. Moreover, the MAM is unique under plausible conditions. Overall, contributions in the MAM experiment averaged 94.9%. Quantifying subjectsʼ responses to the questionnaire reveal heterogeneous reasoning processes and highlight the importance of developing mechanisms that implement the desired social choice outcome in multiple solution concepts.

Suggested Citation

  • Masuda, Takehito & Okano, Yoshitaka & Saijo, Tatsuyoshi, 2014. "The minimum approval mechanism implements the efficient public good allocation theoretically and experimentally," Games and Economic Behavior, Elsevier, vol. 83(C), pages 73-85.
  • Handle: RePEc:eee:gamebe:v:83:y:2014:i:c:p:73-85
    DOI: 10.1016/j.geb.2013.10.003
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    1. Groves, Theodore & Ledyard, John O, 1977. "Optimal Allocation of Public Goods: A Solution to the "Free Rider" Problem," Econometrica, Econometric Society, vol. 45(4), pages 783-809, May.
    2. repec:dpr:wpaper:0874r is not listed on IDEAS
    3. Walker, Mark, 1981. "A Simple Incentive Compatible Scheme for Attaining Lindahl Allocations," Econometrica, Econometric Society, vol. 49(1), pages 65-71, January.
    4. Andreoni,J. & Varian,H., 1999. "Pre-play contracting in the prisoners' dilemma," Working papers 18, Wisconsin Madison - Social Systems.
    5. Attiyeh, Greg & Franciosi, Robert & Isaac, R Mark, 2000. "Experiments with the Pivot Process for Providing Public Goods," Public Choice, Springer, vol. 102(1-2), pages 95-114, January.
    6. Andreoni, James A & Miller, John H, 1993. "Rational Cooperation in the Finitely Repeated Prisoner's Dilemma: Experimental Evidence," Economic Journal, Royal Economic Society, vol. 103(418), pages 570-585, May.
    7. Vincent P. Crawford & Miguel A. Costa-Gomes, 2006. "Cognition and Behavior in Two-Person Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 96(5), pages 1737-1768, December.
    8. Renou, Ludovic & Schlag, Karl H., 2011. "Implementation in minimax regret equilibrium," Games and Economic Behavior, Elsevier, vol. 71(2), pages 527-533, March.
    9. Chen, Yan, 2008. "Incentive-compatible Mechanisms for Pure Public Goods: A Survey of Experimental Research," Handbook of Experimental Economics Results, in: Charles R. Plott & Vernon L. Smith (ed.), Handbook of Experimental Economics Results, edition 1, volume 1, chapter 67, pages 625-643, Elsevier.
    10. Yan Chen & Robert Gazzale, 2004. "When Does Learning in Games Generate Convergence to Nash Equilibria? The Role of Supermodularity in an Experimental Setting," American Economic Review, American Economic Association, vol. 94(5), pages 1505-1535, December.
    11. Richard Mckelvey & Thomas Palfrey, 1998. "Quantal Response Equilibria for Extensive Form Games," Experimental Economics, Springer;Economic Science Association, vol. 1(1), pages 9-41, June.
    12. 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.
    13. Masuda, Takehito & Okano, Yoshitaka & Saijo, Tatsuyoshi, 2014. "The minimum approval mechanism implements the efficient public good allocation theoretically and experimentally," Games and Economic Behavior, Elsevier, vol. 83(C), pages 73-85.
    14. Chen, Yan & Plott, Charles R., 1996. "The Groves-Ledyard mechanism: An experimental study of institutional design," Journal of Public Economics, Elsevier, vol. 59(3), pages 335-364, March.
    15. Anderson, Simon P. & Goeree, Jacob K. & Holt, Charles A., 2001. "Minimum-Effort Coordination Games: Stochastic Potential and Logit Equilibrium," Games and Economic Behavior, Elsevier, vol. 34(2), pages 177-199, February.
    16. repec:dpr:wpaper:0874 is not listed on IDEAS
    17. David J. Cooper & John H. Kagel, 2005. "Are Two Heads Better Than One? Team versus Individual Play in Signaling Games," American Economic Review, American Economic Association, vol. 95(3), pages 477-509, June.
    18. Cason, Timothy N. & Saijo, Tatsuyoshi & Sjostrom, Tomas & Yamato, Takehiko, 2006. "Secure implementation experiments: Do strategy-proof mechanisms really work?," Games and Economic Behavior, Elsevier, vol. 57(2), pages 206-235, November.
    19. , J. & ,, 2012. "Designing stable mechanisms for economic environments," Theoretical Economics, Econometric Society, vol. 7(3), September.
    20. Yan Chen & Fang-Fang Tang, 1998. "Learning and Incentive-Compatible Mechanisms for Public Goods Provision: An Experimental Study," Journal of Political Economy, University of Chicago Press, vol. 106(3), pages 633-662, June.
    21. , & , & ,, 2007. "Secure implementation," Theoretical Economics, Econometric Society, vol. 2(3), September.
    22. 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.
    23. 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.
    24. Healy, Paul J., 2006. "Learning dynamics for mechanism design: An experimental comparison of public goods mechanisms," Journal of Economic Theory, Elsevier, vol. 129(1), pages 114-149, July.
    25. Falkinger, Josef, 1996. "Efficient private provision of public goods by rewarding deviations from average," Journal of Public Economics, Elsevier, vol. 62(3), pages 413-422, November.
    26. Varian, Hal R, 1994. "A Solution to the Problem of Externalities When Agents Are Well-Informed," American Economic Review, American Economic Association, vol. 84(5), pages 1278-1293, December.
    27. Saijo, Tatsuyoshi & Tatamitani, Yoshikatsu & Yamato, Takehiko, 1996. "Toward Natural Implementation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(4), pages 949-980, November.
    28. Kalai, Ehud, 1981. "Preplay negotiations and the prisoner's dilemma," Mathematical Social Sciences, Elsevier, vol. 1(4), pages 375-379, August.
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    Cited by:

    1. Tatsuyoshi Saijo & Yoshitaka Okano & Takafumi Yamakawa, 2015. "The approval mechanism solves the prisoner's dilemma theoretically and experimentally," Working Papers SDES-2015-12, Kochi University of Technology, School of Economics and Management, revised Feb 2015.
    2. Federica Alberti & César Mantilla, 2024. "A mechanism requesting prices and quantities may increase the provision of heterogeneous public goods," Experimental Economics, Springer;Economic Science Association, vol. 27(1), pages 244-270, March.
    3. Tatsuyoshi Saijo & Takehito Masuda & Takafumi Yamakawa, 2018. "Approval mechanism to solve prisoner’s dilemma: comparison with Varian’s compensation mechanism," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(1), pages 65-77, June.
    4. Elbittar, Alexander & Di Giannatale, Sonia, 2017. "“Neither I nor you shall have him”: An experimental study of the King Solomon's Dilemma," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 70(C), pages 55-69.
    5. Alexander L. Brown & Rodrigo A. Velez, 2019. "Empirical bias and efficiency of alpha-auctions: experimental evidence," Papers 1905.03876, arXiv.org, revised Jul 2020.
    6. Philippe Aghion & Ernst Fehr & Richard Holden & Tom Wilkening, 2018. "The Role of Bounded Rationality and Imperfect Information in Subgame Perfect Implementation—An Empirical Investigation," Journal of the European Economic Association, European Economic Association, vol. 16(1), pages 232-274.
    7. Koffi Serge William Yao, 2021. "An Experiment on Cooperation in a CPR Game with a Disapproval Option," Games, MDPI, vol. 12(4), pages 1-14, October.
    8. Masuda, Takehito & Okano, Yoshitaka & Saijo, Tatsuyoshi, 2014. "The minimum approval mechanism implements the efficient public good allocation theoretically and experimentally," Games and Economic Behavior, Elsevier, vol. 83(C), pages 73-85.
    9. Dong, Lu & Falvey, Rod & Luckraz, Shravan, 2019. "Fair share and social efficiency: A mechanism in which peers decide on the payoff division," Games and Economic Behavior, Elsevier, vol. 115(C), pages 209-224.
    10. Ernst Fehr & Michael Powell & Tom Wilkening, 2014. "Handing Out Guns at a Knife Fight: Behavioral Limitations of Subgame-Perfect Implementation," CESifo Working Paper Series 4948, CESifo.
    11. Daniele Nosenzo & Fabio Tufano, 2015. "Entry or Exit? The Effect of Voluntary Participation on Cooperation," Discussion Papers 2015-20, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    12. Koffi Serge William Yao & Emmanuelle Lavaine & Marc Willinger, 2021. "Effectiveness of the approval mechanism for CPR dilemmas: unanimity versus majority rule," Working Papers hal-03234786, HAL.
    13. repec:dpr:wpaper:0874r is not listed on IDEAS
    14. Ernst Fehr & Michael Powell & Tom Wilkening, 2021. "Behavioral Constraints on the Design of Subgame-Perfect Implementation Mechanisms," American Economic Review, American Economic Association, vol. 111(4), pages 1055-1091, April.
    15. Koffi Serge William Yao & Emmanuelle Lavaine & Marc Willinger, 2022. "Does the approval mechanism induce the efficient extraction in common pool resource games?," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(1), pages 111-139, January.
    16. Tatsuyoshi Saijo & Takehito Masuda & Takafumi Yamakawa, "undated". "Approval Mechanism to Solve Prisoner’s Dilemma: Comparison with Varian’s Compensation Mechanism," Working Papers SDES-2016-15, Kochi University of Technology, School of Economics and Management.
    17. Xiaochuan Huang & Takehito Masuda & Yoshitaka Okano & Tatsuyoshi Saijo, 2014. "Cooperation among behaviorally heterogeneous players in social dilemma with stay or leave decisions," Working Papers SDES-2014-7, Kochi University of Technology, School of Economics and Management, revised Feb 2015.
    18. Koffi Serge William Yao, 2021. "An Experiment on Cooperation in a CPR Game with a Disapproval Option," Post-Print hal-03418905, HAL.
    19. Saijo, Tatsuyoshi & Shen, Junyi, 2018. "Mate choice mechanism for solving a quasi-dilemma," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 72(C), pages 1-8.
    20. Makoto Hagiwara & Fumihiro Yonekura, 2020. "Implementation in Iterative Elimination of Obviously Dominated Strategies: An Experiment on King Solomon's Dilemma," Discussion Paper Series DP2020-17, Research Institute for Economics & Business Administration, Kobe University.
    21. Cason, Timothy N. & Zubrickas, Robertas, 2017. "Enhancing fundraising with refund bonuses," Games and Economic Behavior, Elsevier, vol. 101(C), pages 218-233.
    22. Tatsuyoshi Saijo, 2019. "Second thoughts of social dilemma in mechanism design," Working Papers SDES-2019-6, Kochi University of Technology, School of Economics and Management, revised Jun 2019.
    23. Cason, Timothy N. & Zubrickas, Robertas, 2019. "Donation-based crowdfunding with refund bonuses," European Economic Review, Elsevier, vol. 119(C), pages 452-471.
    24. Tatsuyoshi Saijo & Yoshitaka Okano, 2014. "Second thoughts," Working Papers SDES-2014-6, Kochi University of Technology, School of Economics and Management, revised Apr 2015.

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    More about this item

    Keywords

    Public good experiment; Approval mechanism; Multiple implementation;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods
    • P43 - Political Economy and Comparative Economic Systems - - Other Economic Systems - - - Finance; Public Finance

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