The DOI matches its Crossref record.
The Calculus of Selfishness
Abstract
How does cooperation emerge among selfish individuals? When do people share resources, punish those they consider unfair, and engage in joint enterprises? These questions fascinate philosophers, biologists, and economists alike, for the "invisible hand" that should turn selfish efforts into public benefit is not always at work. The Calculus of Selfishness looks at social dilemmas where cooperative motivations are subverted and self-interest becomes self-defeating. Karl Sigmund, a pioneer in evolutionary game theory, uses simple and well-known game theory models to examine the foundations of collective action and the effects of reciprocity and reputation. Focusing on some of the best-known social and economic experiments, including games such as the Prisoner's Dilemma, Trust, Ultimatum, Snowdrift, and Public Good, Sigmund explores the conditions leading to cooperative strategies. His approach is based on evolutionary game dynamics, applied to deterministic and probabilistic models of economic interactions. Exploring basic strategic interactions among individuals guided by self-interest and caught in social traps, The Calculus of Selfishness analyzes to what extent one key facet of human nature--selfishness--can lead to cooperation.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“Second, they are sensitive to errors that involve either punishing cooperators or not punishing free-riders23,30.”
From Cooperation without punishment (2023) · cites this paper as [23]
Citations
Cites
Still being checked.
Cited by
Sorted by citations
Evolutionary dynamics of group interactions on structured populations: a review
Perc, M., Gómez-Gardeñes, J., Szolnoki, A., Floría, L. M., & Moreno, Y. (2013) · Journal of The Royal Society Interface · doi:10.1098/rsif.2012.0997 · Cited by 1,340
Evolutionary dynamics of group interactions on structured populations: a review
Perz, M., Gómez‐Gardeñes, J., Szolnoki, A., Florı́a, L. M., & Moreno, Y. (2013) · Repository of the Academy's Library (Library of the Hungarian Academy of Sciences) · Cited by 883
Norm Perception as a Vehicle for Social Change
Tankard, M. E., & Paluck, E. L. (2016) · Social Issues and Policy Review · doi:10.1111/sipr.12022 · Cited by 883
Evolutionary games on multilayer networks: a colloquium
Wang, Z., Wang, L., Szolnoki, A., & Perc, M. (2015) · The European Physical Journal B · doi:10.1140/epjb/e2015-60270-7 · Cited by 811
Intuitive Cooperation and the Social Heuristics Hypothesis: Evidence from 15 Time Constraint Studies
Rand, D. G., Peysakhovich, A., Kraft‐Todd, G., Newman, G. E., Wurzbacher, O., Nowak, M. A., & Greene, J. D. (2013) · Nature Communications · doi:10.1038/ncomms4677 · Cited by 772
Evolutionary games on multilayer networks: a colloquium
Wang, Z., Wang, L., Szolnoki, A., & Perc, M. (2015) · Repository of the Academy's Library (Library of the Hungarian Academy of Sciences) · Cited by 741
Reward and cooperation in the spatial public goods game
Szolnoki, A., & Perc, M. (2010) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/92/38003 · Cited by 714
Dynamic social networks promote cooperation in experiments with humans
Rand, D. G., Arbesman, S., & Christakis, N. A. (2011) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1108243108 · Cited by 653
Cyclic dominance in evolutionary games: a review
Szolnoki, A., Mobilia, M., Jiang, L.-L., Szczesny, B., Rucklidge, A. M., & Perc, M. (2014) · Journal of The Royal Society Interface · doi:10.1098/rsif.2014.0735 · Cited by 520
Punish, but not too hard: how costly punishment spreads in the spatial public goods game
Helbing, D., Szolnoki, A., Perc, M., & Szabó, G. (2010) · New Journal of Physics · doi:10.1088/1367-2630/12/8/083005 · Cited by 440
Humans display a ‘cooperative phenotype’ that is domain general and temporally stable
Peysakhovich, A., Nowak, M. A., & Rand, D. G. (2014) · Nature Communications · doi:10.1038/ncomms5939 · Cited by 426
Phase diagrams for the spatial public goods game with pool punishment
Szolnoki, A., Szabó, G., & Perc, M. (2011) · Physical Review E · doi:10.1103/physreve.83.036101 · Cited by 411
Evolutionary Establishment of Moral and Double Moral Standards through Spatial Interactions
Helbing, D., Szolnoki, A., Perc, M., & Szabó, G. (2010) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1000758 · Cited by 379
The evolution of antisocial punishment in optional public goods games
Rand, D. G., & Nowak, M. A. (2011) · Nature Communications · doi:10.1038/ncomms1442 · Cited by 350
Gächter, S., Herrmann, B., & Thöni, C. (2010) · Philosophical Transactions of the Royal Society B Biological Sciences · doi:10.1098/rstb.2010.0135 · Cited by 358
Static network structure can stabilize human cooperation
Rand, D. G., Nowak, M. A., Fowler, J. H., & Christakis, N. A. (2014) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1400406111 · Cited by 289
Evolution of extortion in Iterated Prisoner’s Dilemma games
Hilbe, C., Nowak, M. A., & Sigmund, K. (2013) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1214834110 · Cited by 275
Self-citationRisk of collective failure provides an escape from the tragedy of the commons
Santos, F. C., & Pacheco, J. M. (2011) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1015648108 · Cited by 286
Statistical physics of crime: A review
D'Orsogna, M. R., & Perc, M. (2014) · Physics of Life Reviews · doi:10.1016/j.plrev.2014.11.001 · Cited by 281
Evolution of cooperation in stochastic games
Hilbe, C., Šimsa, Š., Chatterjee, K., & Nowak, M. A. (2018) · Nature · doi:10.1038/s41586-018-0277-x · Cited by 277
Powering up with indirect reciprocity in a large-scale field experiment
Yoeli, E., Hoffman, M., Rand, D. G., & Nowak, M. A. (2013) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1301210110 · Cited by 285
Conformity enhances network reciprocity in evolutionary social dilemmas
Szolnoki, A., & Perc, M. (2014) · Journal of The Royal Society Interface · doi:10.1098/rsif.2014.1299 · Cited by 267
Social norm complexity and past reputations in the evolution of cooperation
Santos, F. P., Santos, F. C., & Pacheco, J. M. (2018) · Nature · doi:10.1038/nature25763 · Cited by 264
Self-organization of punishment in structured populations
Perc, M., & Szolnoki, A. (2012) · New Journal of Physics · doi:10.1088/1367-2630/14/4/043013 · Cited by 259
Second-Order Free-Riding on Antisocial Punishment Restores the Effectiveness of Prosocial Punishment
Szolnoki, A., & Perc, M. (2017) · Physical Review X · doi:10.1103/physrevx.7.041027 · Cited by 230
The evolution of extreme cooperation via shared dysphoric experiences
Whitehouse, H., Jong, J., Buhrmester, M. D., Gómez, Á., Bastian, B. B., Kavanagh, C. M., Newson, M., Matthews, M., Lanman, J. A., McKay, R., et al. (2017) · Scientific Reports · doi:10.1038/srep44292 · Cited by 224
Self-organization towards optimally interdependent networks by means of coevolution
Wang, Z., Szolnoki, A., & Perc, M. (2014) · University of Maribor digital library (University of Maribor) · Cited by 219
Evolutionary Game Theory: A Renaissance
Newton, J. (2018) · Games · doi:10.3390/g9020031 · Cited by 209
Szolnoki, A., & Perc, M. (2013) · Physical Review X · doi:10.1103/physrevx.3.041021 · Cited by 199
Competition of individual and institutional punishments in spatial public goods games
Szolnoki, A., Szabó, G., & Czakó, L. (2011) · Physical Review E · doi:10.1103/physreve.84.046106 · Cited by 196
Evolutionary instability of zero-determinant strategies demonstrates that winning is not everything
Adami, C., & Hintze, A. (2013) · Nature Communications · doi:10.1038/ncomms3193 · Cited by 203
Cooperation and control in multiplayer social dilemmas
Hilbe, C., Wu, B., Traulsen, A., & Nowak, M. A. (2014) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1407887111 · Cited by 197
Incentives and opportunism: from the carrot to the stick
Hilbe, C., & Sigmund, K. (2010) · Proceedings of the Royal Society B Biological Sciences · doi:10.1098/rspb.2010.0065 · Cited by 187
Self-citationWisdom of groups promotes cooperation in evolutionary social dilemmas
Szolnoki, A., Wang, Z., & Perc, M. (2012) · Scientific Reports · doi:10.1038/srep00576 · Cited by 189
Conditional strategies and the evolution of cooperation in spatial public goods games
Szolnoki, A., & Perc, M. (2012) · Physical Review E · doi:10.1103/physreve.85.026104 · Cited by 189
Self-organization towards optimally interdependent networks by means of coevolution
Wang, Z., Szolnoki, A., & Perc, M. (2014) · New Journal of Physics · doi:10.1088/1367-2630/16/3/033041 · Cited by 229
Extortion and cooperation in the Prisoner’s Dilemma
Stewart, A. J., & Plotkin, J. B. (2012) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1208087109 · Cited by 187
A bottom-up institutional approach to cooperative governance of risky commons
Vasconcelos, V. V., Santos, F. C., & Pacheco, J. M. (2013) · Nature Climate Change · doi:10.1038/nclimate1927 · Cited by 183
Partners and rivals in direct reciprocity
Hilbe, C., Chatterjee, K., & Nowak, M. A. (2018) · Nature Human Behaviour · doi:10.1038/s41562-018-0320-9 · Cited by 186
Risk-driven migration and the collective-risk social dilemma
Chen, X., Szolnoki, A., & Perc, M. (2012) · Physical Review E · doi:10.1103/physreve.86.036101 · Cited by 184
Social dilemmas among unequals
Hauser, O., Hilbe, C., Chatterjee, K., & Nowak, M. A. (2019) · Nature · doi:10.1038/s41586-019-1488-5 · Cited by 192
Evolutionary dynamics with game transitions
Su, Q., McAvoy, A., Wang, L., & Nowak, M. A. (2019) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1908936116 · Cited by 175
Indirect reciprocity with private, noisy, and incomplete information
Hilbe, C., Schmid, L., Tkadlec, J., Chatterjee, K., & Nowak, M. A. (2018) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1810565115 · Cited by 173
A unified framework of direct and indirect reciprocity
Schmid, L., Chatterjee, K., Hilbe, C., & Nowak, M. A. (2021) · Nature Human Behaviour · doi:10.1038/s41562-021-01114-8 · Cited by 161
Sustainable institutionalized punishment requires elimination of second-order free-riders
Perc, M. (2012) · Scientific Reports · doi:10.1038/srep00344 · Cited by 172
Does strong heterogeneity promote cooperation by group interactions?
Perc, M. (2011) · New Journal of Physics · doi:10.1088/1367-2630/13/12/123027 · Cited by 164
Competition of tolerant strategies in the spatial public goods game
Szolnoki, A., & Perc, M. (2016) · New Journal of Physics · doi:10.1088/1367-2630/18/8/083021 · Cited by 163
An economic experiment reveals that humans prefer pool punishment to maintain the commons
Traulsen, A., Röhl, T., & Milinski, M. (2012) · Proceedings of the Royal Society B Biological Sciences · doi:10.1098/rspb.2012.0937 · Cited by 164
Heuristics guide the implementation of social preferences in one-shot Prisoner's Dilemma experiments
Capraro, V., Jordan, J., & Rand, D. G. (2014) · Scientific Reports · doi:10.1038/srep06790 · Cited by 159
Group-size effects on the evolution of cooperation in the spatial public goods game
Szolnoki, A., & Perc, M. (2011) · Physical Review E · doi:10.1103/physreve.84.047102 · Cited by 153
Risking Your Life without a Second Thought: Intuitive Decision-Making and Extreme Altruism
Rand, D. G., & Epstein, Z. (2014) · PLoS ONE · doi:10.1371/journal.pone.0109687 · Cited by 170
Climate policies under wealth inequality
de Vasconcelos, V. V. L., Santos, F. C., Pacheco, J. M., & Levin, S. A. (2014) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1323479111 · Cited by 158
Alliance formation with exclusion in the spatial public goods game
Szolnoki, A., & Chen, X. (2017) · Physical review. E · doi:10.1103/physreve.95.052316 · Cited by 151
Memory- n strategies of direct reciprocity
Hilbe, C., Martínez-Vaquero, L. A., Chatterjee, K., & Nowak, M. A. (2017) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1621239114 · Cited by 154
Percolation threshold determines the optimal population density for public cooperation
Wang, Z., Szolnoki, A., & Perc, M. (2012) · Physical Review E · doi:10.1103/physreve.85.037101 · Cited by 140
Aspiration dynamics of multi-player games in finite populations
Du, J., Wu, B., Altrock, P. M., & Wang, L. (2014) · Journal of The Royal Society Interface · doi:10.1098/rsif.2014.0077 · Cited by 131
Imitating emotions instead of strategies in spatial games elevates social welfare
Szolnoki, A., Xie, N.-G., Wang, C., & Perc, M. (2011) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/96/38002 · Cited by 124
Grujić, J., Gracia-Lázaro, C., Milinski, M., Semmann, D., Traulsen, A., Cuesta, J. A., Moreno, Y., & Sánchez, Á. (2014) · Scientific Reports · doi:10.1038/srep04615 · Cited by 122
Cooperate without looking: Why we care what people think and not just what they do
Hoffman, M., Yoeli, E., & Nowak, M. A. (2015) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1417904112 · Cited by 125
Leaders should not be conformists in evolutionary social dilemmas
Szolnoki, A., & Perc, M. (2016) · Scientific Reports · doi:10.1038/srep23633 · Cited by 124
Collective action problem in heterogeneous groups
Sergey Gavrilets, B. (2015) · Philosophical Transactions of the Royal Society B Biological Sciences · doi:10.1098/rstb.2015.0016 · Cited by 123
Success-driven distribution of public goods promotes cooperation but preserves defection
Perc, M. (2011) · Physical Review E · doi:10.1103/physreve.84.037102 · Cited by 120
Determinants of public cooperation in multiplex networks
Battiston, F., Perc, M., & Latora, V. (2017) · New Journal of Physics · doi:10.1088/1367-2630/aa6ea1 · Cited by 122
Xia, C., Ding, S., Wang, C., Wang, J., & Chen, Z. (2016) · IEEE Systems Journal · doi:10.1109/jsyst.2016.2539364 · Cited by 120
Emergence of Fairness in Repeated Group Interactions
Segbroeck, S. V., Pacheco, J. M., Lenaerts, T., & Santos, F. C. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.158104 · Cited by 117
Sustainable institutionalized punishment requires elimination of second-order free-riders
Perc, M. (2017) · University of Maribor digital library (University of Maribor) · Cited by 115
Environmental feedback drives cooperation in spatial social dilemmas
Szolnoki, A., & Chen, X. (2017) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/120/58001 · Cited by 118
Cain, D. M., Dana, J. D., & Newman, G. E. (2014) · Academy of Management Annals · doi:10.1080/19416520.2014.911576 · Cited by 112
Evolution of the most common English words and phrases over the centuries
Perc, M. (2012) · Journal of The Royal Society Interface · doi:10.1098/rsif.2012.0491 · Cited by 108
Adaptive Dynamics of Extortion and Compliance
Hilbe, C., Nowak, M. A., & Traulsen, A. (2013) · PLoS ONE · doi:10.1371/journal.pone.0077886 · Cited by 106
Extortion subdues human players but is finally punished in the prisoner’s dilemma
Hilbe, C., Röhl, T., & Milinski, M. (2014) · Nature Communications · doi:10.1038/ncomms4976 · Cited by 100
A Review of Theoretical Studies on Indirect Reciprocity
Okada, I. (2020) · Games · doi:10.3390/g11030027 · Cited by 110
Evolution of cooperation with asymmetric social interactions
Su, Q., Allen, B., & Plotkin, J. B. (2022) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2113468118 · Cited by 104
Biased imitation in coupled evolutionary games in interdependent networks
Santos, M. D., Dorogovtsev, S. N., & Mendes, J. F. F. (2014) · Scientific Reports · doi:10.1038/srep04436 · Cited by 100
Rand, D. G., & Kraft‐Todd, G. (2013) · Frontiers in Behavioral Neuroscience · doi:10.3389/fnbeh.2014.00300 · Cited by 109
Benefits of tolerance in public goods games
Szolnoki, A., & Chen, X. (2015) · Physical Review E · doi:10.1103/physreve.92.042813 · Cited by 95
Towards a mechanistic foundation of evolutionary theory
Doebeli, M., Ispolatov, Y., & Simon, B. (2017) · eLife · doi:10.7554/elife.23804 · Cited by 104
Social goods dilemmas in heterogeneous societies
McAvoy, A., Allen, B., & Nowak, M. A. (2020) · Nature Human Behaviour · doi:10.1038/s41562-020-0881-2 · Cited by 94
“The analytical conditions presented so far (for example, equation (1)) are valid under the assumption that selection is weak.”
BackgroundMethodInfluentialDynamically generated cyclic dominance in spatial prisoner’s dilemma games
Szolnoki, A., Wang, Z., Wang, J., & Zhu, X. (2010) · Physical Review E · doi:10.1103/physreve.82.036110 · Cited by 92
Evolutionary dynamics of any multiplayer game on regular graphs
Wang, C., Perc, M., & Szolnoki, A. (2024) · Nature Communications · doi:10.1038/s41467-024-49505-5 · Cited by 99
Reward and punishment in climate change dilemmas
Góis, A. R., Santos, F. P., Pacheco, J. M., & Santos, F. C. (2019) · Scientific Reports · doi:10.1038/s41598-019-52524-8 · Cited by 89
Autocratic strategies for iterated games with arbitrary action spaces
McAvoy, A., & Hauert, C. (2016) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1520163113 · Cited by 83
Jiang, L.-L., Perc, M., & Szolnoki, A. (2013) · PLoS ONE · doi:10.1371/journal.pone.0064677 · Cited by 85
Humans display a reduced set of consistent behavioral phenotypes in dyadic games
Poncela-Casasnovas, J., Gutiérrez-Roig, M., Gracia-Lázaro, C., Vicens, J., Gómez‐Gardeñes, J., Perelló, J., Moreno, Y., Duch, J., & Sánchez, Á. (2016) · Science Advances · doi:10.1126/sciadv.1600451 · Cited by 89
Effect of private information on indirect reciprocity
Uchida, S. (2010) · Physical Review E · doi:10.1103/physreve.82.036111 · Cited by 84
Evolution of commitment and level of participation in public goods games
Han, T. A., Pereira, L. M., & Lenaerts, T. (2016) · Autonomous Agents and Multi-Agent Systems · doi:10.1007/s10458-016-9338-4 · Cited by 83
EFFECTS OF ENVIRONMENT KNOWLEDGE ON AGGLOMERATION AND COOPERATION IN SPATIAL PUBLIC GOODS GAMES
Xia, C., Meloni, S., & Moreno, Y. (2012) · Advances in Complex Systems · doi:10.1142/s0219525912500567 · Cited by 78
Good Agreements Make Good Friends
Han, T. A., Pereira, L. M., Santos, F. C., & Lenaerts, T. (2013) · Scientific Reports · doi:10.1038/srep02695 · Cited by 79
Cooperation on Interdependent Networks by Means of Migration and Stochastic Imitation
Chowdhury, S. N., Kundu, S., Duh, M., Perc, M., & Ghosh, D. (2020) · Entropy · doi:10.3390/e22040485 · Cited by 82
Time Pressure Increases Cooperation in Competitively Framed Social Dilemmas
Cone, J., & Rand, D. G. (2014) · PLoS ONE · doi:10.1371/journal.pone.0115756 · Cited by 84
An Evolutionary Game With the Game Transitions Based on the Markov Process
Feng, M., Pi, B., Deng, L.-J., & Kurths, J. (2023) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2023.3315963 · Cited by 86
Boosting cooperation by involving extortion in spatial prisoner's dilemma games
Wu, Z.-X., & Rong, Z. (2014) · Physical Review E · doi:10.1103/physreve.90.062102 · Cited by 77
Avoiding or restricting defectors in public goods games?
Han, T. A., Pereira, L. M., & Lenaerts, T. (2014) · Journal of The Royal Society Interface · doi:10.1098/rsif.2014.1203 · Cited by 75
Fixation probabilities in evolutionary dynamics under weak selection
McAvoy, A., & Allen, B. (2021) · Journal of Mathematical Biology · doi:10.1007/s00285-021-01568-4 · Cited by 78
Finding the place of argumentation in science education: Epistemics and Whole Science
Allchin, D., & Zemplén, G. Á. (2020) · Science Education · doi:10.1002/sce.21589 · Cited by 99
Positive Emotion and (Dis)Inhibition Interact to Predict Cooperative Behavior
Rand, D. G., Kraft‐Todd, G., & Gruber, J. (2014) · PLoS ONE · doi:10.1371/journal.pone.0117426 · Cited by 82
Linking Individual and Collective Behavior in Adaptive Social Networks
Pinheiro, F. L., Santos, F. C., & Pacheco, J. M. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.128702 · Cited by 75
Effects of competition on pattern formation in the rock-paper-scissors game
Jiang, L.-L., Zhou, T., Perc, M., & Wang, B.-H. (2011) · Physical Review E · doi:10.1103/physreve.84.021912 · Cited by 71
Modeling human behavior in economics and social science
Dolfin, M., Leonida, L., & Outada, N. (2017) · Physics of Life Reviews · doi:10.1016/j.plrev.2017.06.026 · Cited by 77
Extortion provides alternative routes to the evolution of cooperation in structured populations
Xu, X., Rong, Z., Wu, Z.-X., Zhou, T., & Tse, C. K. (2017) · Physical review. E · doi:10.1103/physreve.95.052302 · Cited by 73
Metadata
- Authors
- Sigmund, K.
- Corresponding author
- Sigmund, Karl
- ORCID
- Sigmund, Karl
- Venue
- Princeton University Press eBooks
- Publisher
- Princeton University Press
- Published
- 2010-12-31
- OpenAlex
- W3146032046
- Cited by
- 570
- References
- 0
- Citations by year
- 2026: 21 · 2025: 31 · 2024: 33 · 2023: 38 · 2022: 27 · 2021: 37 · 2020: 40 · 2019: 33 · 2018: 38 · 2017: 44 · 2016: 37 · 2015: 37 · 2014: 46 · 2013: 29 · 2012: 32
- FWCI
- 43.94
- Type
- book
- Language
- en
- Open access
- closed
- Locations
- Princeton University Press eBooks (publishedVersion)
- Project Muse (Johns Hopkins University) (submittedVersion)
- Economics Books (submittedVersion)
- IIASA PURE (International Institute of Applied Systems Analysis) (submittedVersion)
- Topics
- Social Sciences › Sociology and Political Science › Evolutionary Game Theory and Cooperation
- Social Sciences › Economics, Econometrics and Finance › Economics and Econometrics › Experimental Behavioral Economics Studies
- Social Sciences › Decision Sciences › Management Science and Operations Research › Game Theory and Applications
- Keywords
- cooperation, selfishness, social dilemmas, evolutionary game theory, reciprocity, reputation, prisoner's dilemma, trust game, ultimatum game, snowdrift game, public goods, social traps, collective action, self-interest
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review