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Smart contracts and reaction-function games

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  • Jens Gudmundsson
  • Jens Leth Hougaard

Abstract

Blockchain-based smart contracts offer a new take on credible commitment, where players can commit to actions in reaction to actions of others. Such reaction-function games extend on strategic games with players choosing reaction functions instead of strategies. We formalize a solution concept in terms of fixed points for such games, akin to Nash equilibrium, and prove equilibrium existence. Reaction functions can mimic "trigger" strategies from folk theorems on infinitely repeated games -- but now in a one-shot setting. We introduce a refinement in terms of safe play. We apply our theoretical framework to symmetric investment games, which includes two prominent classes of games, namely weakest-link and public-good games. In both cases, we identify a safe and optimal reaction function. In this way, our findings highlight how blockchain-based commitment can overcome trust and free-riding barriers.

Suggested Citation

  • Jens Gudmundsson & Jens Leth Hougaard, 2025. "Smart contracts and reaction-function games," Papers 2506.14413, arXiv.org.
    • Handle: RePEc:arx:papers:2506.14413
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    References listed on IDEAS

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    1. Gary Charness & Matthew Rabin, 2002. "Understanding Social Preferences with Simple Tests," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(3), pages 817-869.
    2. 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.
    3. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, December.
    4. Reinhard Selten & Michael Mitzkewitz & Gerald R. Uhlich, 1997. "Duopoly Strategies Programmed by Experienced Players," Econometrica, Econometric Society, vol. 65(3), pages 517-556, May.
    5. Echenique, Federico, 2004. "A characterization of strategic complementarities," Games and Economic Behavior, Elsevier, vol. 46(2), pages 325-347, February.
    6. Thöni, Christian & Volk, Stefan, 2018. "Conditional cooperation: Review and refinement," Economics Letters, Elsevier, vol. 171(C), pages 37-40.
    7. Ingela Alger & Jörgen W. Weibull, 2013. "Homo Moralis—Preference Evolution Under Incomplete Information and Assortative Matching," Econometrica, Econometric Society, vol. 81(6), pages 2269-2302, November.
    8. Van Huyck, John B & Battalio, Raymond C & Beil, Richard O, 1990. "Tacit Coordination Games, Strategic Uncertainty, and Coordination Failure," American Economic Review, American Economic Association, vol. 80(1), pages 234-248, March.
    9. Jens Gudmundsson & Jens Leth Hougaard & Chiu Yu Ko, 2024. "Sharing Sequentially Triggered Losses: Automated Conflict Resolution Through Smart Contracts," Management Science, INFORMS, vol. 70(3), pages 1773-1786, March.
    10. Roberto A. Weber, 2006. "Managing Growth to Achieve Efficient Coordination in Large Groups," American Economic Review, American Economic Association, vol. 96(1), pages 114-126, March.
    11. Kalai, Adam Tauman & Kalai, Ehud & Lehrer, Ehud & Samet, Dov, 2010. "A commitment folk theorem," Games and Economic Behavior, Elsevier, vol. 69(1), pages 127-137, May.
    12. 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, April.
    13. Michael Kosfeld & Akira Okada & Arno Riedl, 2009. "Institution Formation in Public Goods Games," American Economic Review, American Economic Association, vol. 99(4), pages 1335-1355, September.
    14. 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.
    15. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
    16. Reischmann, Andreas & Oechssler, Joerg, 2018. "The Binary Conditional Contribution Mechanism for public good provision in dynamic settings — Theory and experimental evidence," Journal of Public Economics, Elsevier, vol. 159(C), pages 104-115.
    17. 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.
    18. Blume, Andreas & Ortmann, Andreas, 2007. "The effects of costless pre-play communication: Experimental evidence from games with Pareto-ranked equilibria," Journal of Economic Theory, Elsevier, vol. 132(1), pages 274-290, January.
    19. Oechssler, Joerg & Reischmann, Andreas & Sofianos, Andis, 2022. "The conditional contribution mechanism for repeated public goods – The general case," Journal of Economic Theory, Elsevier, vol. 203(C).
    20. 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.
    21. Battalio, Raymond & Samuelson, Larry & Van Huyck, John, 2001. "Optimization Incentives and Coordination Failure in Laboratory Stag Hunt Games," Econometrica, Econometric Society, vol. 69(3), pages 749-764, May.
    22. Jordi Brandts & David J. Cooper, 2006. "A Change Would Do You Good .... An Experimental Study on How to Overcome Coordination Failure in Organizations," American Economic Review, American Economic Association, vol. 96(3), pages 669-693, June.
    23. Arno Riedl & Ingrid M. T. Rohde & Martin Strobel, 2021. "Free Neighborhood Choice Boosts Socially Optimal Outcomes in Stag-Hunt Coordination Problem," CESifo Working Paper Series 9012, CESifo.
    24. Roy Chen & Yan Chen, 2011. "The Potential of Social Identity for Equilibrium Selection," American Economic Review, American Economic Association, vol. 101(6), pages 2562-2589, October.
    25. Dietrichson, Jens & Gudmundsson, Jens & Jochem, Torsten, 2022. "Why don’t we talk about it? Communication and coordination in teams," Journal of Economic Behavior & Organization, Elsevier, vol. 197(C), pages 257-278.
    26. 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.
    27. Dirk Engelmann & Hans-Theo Normann, 2010. "Maximum effort in the minimum-effort game," Experimental Economics, Springer;Economic Science Association, vol. 13(3), pages 249-259, September.
    28. Sugden, Robert, 1984. "Reciprocity: The Supply of Public Goods through Voluntary Contributions," Economic Journal, Royal Economic Society, vol. 94(376), pages 772-787, December.
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