Reward and punishment
Open accessAbstract
Minigames capturing the essence of Public Goods experiments show that even in the absence of rationality assumptions, both punishment and reward will fail to bring about prosocial behavior. This result holds in particular for the well-known Ultimatum Game, which emerges as a special case. But reputation can induce fairness and cooperation in populations adapting through learning or imitation. Indeed, the inclusion of reputation effects in the corresponding dynamical models leads to the evolution of economically productive behavior, with agents contributing to the public good and either punishing those who do not or rewarding those who do. Reward and punishment correspond to two types of bifurcation with intriguing complementarity. The analysis suggests that reputation is essential for fostering social behavior among selfish agents, and that it is considerably more effective with punishment than with reward.
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A more sophisticated assessment rule should distinguish between justified and unjustified defection, taking into account the score of the receiver.
“A more sophisticated assessment rule should distinguish between justified and unjustified defection, and thus take into account the score of the receiver: someone withholding help from a 'bad' player should not pay with a reduced score 35,38,39,47 .”
From Evolution of indirect reciprocity (2005) · cites this paper as [47]
In “Bifurcation Through Reputation” (page unavailable), the paper models cooperators defecting against known nonpunishers, so a coplayer’s reputation can affect the decision to help. It does not describe an assessment rule that distinguishes justified from unjustified defection or say that withholding help from a bad player leaves the donor’s score unchanged. (LLM, conf=0.78)
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Cites
Evolutionary Games and Population Dynamics
Hofbauer, J., & Sigmund, K. (1998) · doi:10.1017/cbo9781139173179 · Cited by 5,502 · see citing works
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Research works printed but not linked: 4
- Kagel, J. H. & Roth, A. E., eds. (1995) The Handbook of Experimental Economics (Princeton Univ. Press, Princeton, NJ).
- Gintis, H. (2000) Game Theor. Evol. (Princeton Univ. Press, Princeton, NJ).
- Weibull, J. W. (1996) Evolutionary Game Theory (MIT Press, Cambridge, MA).
- Berger, U. (2001) Vienna University of Economics, preprint.
Cited by
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Henrich, J., McElreath, R., Barr, A., Ensminger, J., Barrett, C., Bolyanatz, A., Cardenas, J. C., Gurven, M., Gwako, E., Henrich, N., et al. (2006) · Science · doi:10.1126/science.1127333 · Cited by 1,771 · see citing works
Reputation helps solve the ‘tragedy of the commons’
Milinski, M., Semmann, D., & Krambeck, H.-J. (2002) · Nature · doi:10.1038/415424a · Cited by 1,371 · see citing works
Dreber, A., Rand, D. G., Fudenberg, D., & Nowak, M. A. (2008) · Nature · doi:10.1038/nature06723 · Cited by 718 · see citing works
Self-citationReputation-based partner choice promotes cooperation in social networks
Fu, F., Hauert, C., Nowak, M. A., & Wang, L. (2008) · Physical Review E · doi:10.1103/physreve.78.026117 · Cited by 682 · see citing works
Self-citationJohnson, D. D. P. (2005) · Human Nature · doi:10.1007/s12110-005-1017-0 · Cited by 323 · see citing works
Hand of God, Mind of Man: Punishment and Cognition in the Evolution of Cooperation
Johnson, D., & Bering, J. (2006) · Evolutionary Psychology · doi:10.1177/147470490600400119 · Cited by 294 · see citing works
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Anti-social punishment can prevent the co-evolution of punishment and cooperation
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Effectiveness of conditional punishment for the evolution of public cooperation
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The Red King effect: When the slowest runner wins the coevolutionary race
Bergstrom, C. T., & Lachmann, M. (2003) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0134966100 · Cited by 169 · see citing works
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Early exclusion leads to cyclical cooperation in repeated group interactions
Liu, L., Xiao, Z., Chen, X., & Szolnoki, A. (2022) · Journal of The Royal Society Interface · doi:10.1098/rsif.2021.0755 · Cited by 50 · see citing works
Quan, J., Liu, W., Chu, Y., & Wang, X. (2017) · Scientific Reports · doi:10.1038/s41598-017-16140-8 · Cited by 45 · see citing works
Emergence of Social Punishment and Cooperation through Prior Commitments
Han, T. A. (2016) · Proceedings of the AAAI Conference on Artificial Intelligence · doi:10.1609/aaai.v30i1.10120 · Cited by 33 · see citing works
Evolution of cooperation in a hierarchical society with corruption control
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Ohdaira, T. (2017) · Chaos, Solitons & Fractals · doi:10.1016/j.chaos.2016.12.008 · Cited by 21 · see citing works
- Authors
- Sigmund, K., Hauert, C., & Nowak, M. A.
- Affiliations
- University of Vienna (AT)
- Corresponding author
- Nowak, Martin A.
- Venue
- Proceedings of the National Academy of Sciences
- Publisher
- National Academy of Sciences
- Published
- 2001-09-11
- Volume
- 98
- Issue
- 19
- Pages
- 10757-10762
- ISSN
- 0027-8424 (ISSN-L)
- 1091-6490
- PMC
- PMC58548
- OpenAlex
- W2171043258
- Cited by
- 644
- References
- 1
- Citations by year
- 2026: 22 · 2025: 33 · 2024: 34 · 2023: 35 · 2022: 27 · 2021: 34 · 2020: 29 · 2019: 29 · 2018: 33 · 2017: 35 · 2016: 28 · 2015: 43 · 2014: 41 · 2013: 25 · 2012: 22
- FWCI
- 38.58
- Type
- journal article
- Language
- en
- Open access
- green
- europepmc.org
- Locations
- Proceedings of the National Academy of Sciences (publishedVersion)
- Europe PMC (PubMed Central) (publishedVersion)
- PubMed Central (publishedVersion)
- PubMed (publishedVersion)
- IIASA PURE (International Institute of Applied Systems Analysis) (submittedVersion)
- Topics
- Social Sciences › Sociology and Political Science › Evolutionary Game Theory and Cooperation
- Social Sciences › Safety Research › Experimental Behavioral Economics Studies
- Social Sciences › Decision Sciences › Management Science and Operations Research › Game Theory and Applications
- Keywords
- public goods, punishment, reward, reputation, ultimatum game, prosocial behavior, cooperation, evolutionary dynamics, bifurcation, fairness, social behavior
- MeSH terms
- Behavior, Humans, Models, Economic
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