Abstract
Much of what we know, we know thanks to our interactions with others. There is a variety of ways in which we learn from others. We sometimes simply adopt the viewpoints of those we regard as experts, but we also sometimes change our viewpoints in more subtle ways based on the viewpoints of people we regard as our peers. Both forms of social learning have been receiving increasing attention. However, studies investigating how best to combine them, and how to combine the two with individual forms of learning, are still few and far between. This paper looks at ways to integrate various forms of social learning with learning at an individual level within a broadly Bayesian framework. Using agent-based models, we compare the different ways in terms of accuracy of belief states as well as in terms of evolutionary viability. The outcomes of our simulations suggest that agents are best off spending most of their time engaging in social learning, reserving only a limited amount of time for individual learning.
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Notes
Agents are referred to as “it,” given that we will only be dealing with computational agents.
In the machine learning literature, Hume’s problem has been deepened in the form of Wolpert’s (1996) no-free-lunch theorem (see also Wolpert and Macready 1997), which roughly says that every possible prediction method has the same expected success averaged over all possible worlds. Schurz (2019, Sect. 9.3) proposes a novel solution to the no-free-lunch challenge based on the universal optimality of meta-induction.
Note that, here, all agents always have the same \(\epsilon \) value. So, \(\epsilon \) without the subscript i is to be read as “for all i, \(\epsilon _i = \ldots \)”; similarly for \(\alpha \) and \(\lambda \) further on.
Note that for Carnapians this was true from the beginning. One could also consider the kind of situation in which for them social updating is done strictly on the opinions of the Carnapians within their BCI, but in that kind of situation it does not make sense to ask whether there might be any advantage for Carnapians to be members of a community that also includes meta-inductivists or meritocrats.
References
Bezanson J, Edelman A, Karpinski S, Shah VB (2017) Julia: a fresh approach to numerical computing. SIAM Rev 59:65–98
Bickel JE (2007) Some comparisons between quadratic, spherical, and logarithmic scoring rules. Decis Anal 4:49–65
Boyd R, Richerson PJ (1985) Culture and the evolutionary process. University of Chicago Press, Chicago
Boyd R, Richerson PJ, Henrich J (2011) The cultural niche: why social learning is essential for human adaptation. Proc Natl Acad Sci 108:10918–10925
Brier GW (1950) Verification of forecasts expressed in terms of probability. Mon Weather Rev 78:1–3
Carnap R (1952) The continuum of inductive methods. University of Chicago Press, Chicago
Cesa-Bianchi N, Lugosi G (2006) Prediction, learning, and games. Cambridge University Press, Cambridge
Coello Coello CA (1999) A comprehensive survey of evolutionary-based multi-objective techniques. Knowl Inf Syst 1:269–308
Crosscombe M, Lawry J (2016) A model of multi-agent consensus for vague and uncertain beliefs. Adapt Behav 24:249–260
Darr ED, Argote L, Epple D (1995) The acquisition, transfer and depreciation of knowledge in service organizations: productivity in franchises. Manage Sci 41:1750–1762
De Langhe R (2013) Peer disagreement under multiple epistemic constraints. Synthese 190:2547–2556
Douven I (2010) Simulating peer disagreements. Stud Hist Philos Sci 41:148–157
Douven I (2019) Optimizing group learning: an evolutionary computing approach. Artif Intell 275:235–251
Douven I (2022a) Explaining the success of induction. Br J Philos Sci
Douven I (2022b) The art of abduction. MIT Press, Cambridge
Douven I, Hegselmann R (2021) Mis- and disinformation in a bounded confidence model. Artif Intell 291:103415. https://doi.org/10.1016/j.artint.2020.103415
Douven I, Hegselmann R (2022) Network effects in a bounded confidence model. Stud Hist Philos Sci 94:56–71. https://doi.org/10.1016/j.shpsa.2022.05.002
Douven I, Kelp C (2011) Truth approximation, social epistemology, and opinion dynamics. Erkenntnis 75:271–283
Douven I, Riegler A (2010) Extending the Hegselmann–Krause model I. Logic J IGPL 18:323–335
Douven I, Wenmackers S (2017) Inference to the best explanation versus Bayes’ rule in a social setting. Br J Philos Sci 68:535–570
Fortunato S (2004) The Krause–Hegselmann consensus model with discrete opinions. Int J Mod Phys C 15:1021–1029
Gaifman H (1986) A theory of higher order probabilities. In: Halpern J (ed) Theoretical aspects of reasoning about knowledge: proceedings of the 1986 conference. Morgan-Kaufmann, San Mateo, pp 275–292
Goldman AI (1999) Knowledge in a social world. Oxford University Press, Oxford
Goldman AI (2001) Experts: which ones should you trust? Research 63:85–110
Goldman AI (2010) Epistemic relativism and reasonable disagreement. In: Feldman R, Warfield TA (eds) Disagreement. Oxford University Press, Oxford, pp 187–215
Harris P, Corriveau K (2011) Young children’s selective trust in informants. Philos Trans R Soc B 366:1179–1187
Hegselmann R (2004) Opinion dynamics: insights by radically simplifying models. In: Gillies D (ed) Laws and models in science. King’s College Publications, London, pp 19–44
Hegselmann R (2014) Bounded confidence, radical groups, and charismatic leaders. In Miguel F, Amblard F, Barceló J, Madella M (eds.) Social simulation conference advances in computational social science and social simulation. Barcelona: Autonomous University of Barcelona, DDD repository, http://ddd.uab.cat/record/125597
Hegselmann R (2020) Polarization and radicalization in the bounded confidence model: a computer-aided speculation. In: Buskens V, Corten R, Snijders C (eds) Advances in the sociology of trust and cooperation: theory, experiment, and field studies. De Gruyter, Berlin, pp 197–226
Hegselmann R, Krause U (2009) Deliberative exchange, truth, and cognitive division of labour: a low-resolution modeling approach. Episteme 6:130–144
Hegselmann R, Krause U (2015) Opinion dynamics under the influence of radical groups, charismatic leaders, and other constant signals: a simple unifying model. Netw Heterog Media 10:477–509
Hegselmann R, Krause U (2019) Consensus and fragmentation of opinions with a focus on bounded confidence. Am Math Monthly 126:700–716
Hegselmann R, Krause U (2002) Opinion dynamics and bounded confidence: models, analysis, and simulations. J Artif Soc Soc Simul. http://jasss.soc.surrey.ac.uk/5/3/2.html
Hegselmann R, Krause U (2006) Truth and cognitive division of labor: first steps towards a computer aided social epistemology. J Artif Soc Soc Simul. http://jasss.soc.surrey.ac.uk/9/3/10.html
Hegselmann R, König S, Kurz S, Niemann C, Rambau J (2015) Optimal opinion control: the campaign problem. J Artif Soc Soc Simul. http://jasss.soc.surrey.ac.uk/18/3/18.html
Henrich J, Boyd R (1998) The evolution of conformist transmission and the emergence of between-group differences. Evol Hum Behav 19:215–241
Henrich J, Boyd R (2002) On modeling cognition and culture. J Cogn Cult 2:87–112
Hills TT, Todd PM, Lazer D, Redish AD, Couzin ID (2015) Cognitive Search Research Group Exploration versus exploitation in space, mind, and society. Trends Cogn Sci 19:46–54
Hume D (1748/2006). An inquiry concerning human understanding. Fairford: Echo Library
Jacobmeier D (2004) Multidimensional consensus model on a Barabási–Albert network. Int J Mod Phys C 16:633–646
Kane AA, Argote L, Levine J (2005) Knowledge transfer between groups via personnel rotation: effects of social identity and knowledge quality. Organ Behav Hum Decis Process 96:56–71
Kummerfeld E, Zollman KJS (2016) Conservatism and the scientific state of nature. Br J Philos Sci 82:956–968
Lorenz J (2003) Mehrdimensionale Meinungsdynamik bei wechselndem Vertrauen. Diploma thesis, University of Bremen. http://nbn-resolving.de/urn:nbn:de:gbv:46-dipl000000564
Lorenz J (2008) Fostering consensus in multidimensional continuous opinion dynamics under bounded confidence. In: Helbing D (ed) Managing complexity: insights, concepts, applications. Springer, Berlin, pp 321–334
Lorenz J, Rauhut H, Schweitzer F, Helbing D (2011) How social influence can undermine the wisdom of crowd effect. Proc Natl Acad Sci USA 108:9020–9025
March JG (1991) Exploration and exploitation in organizational learning. Organ Sci 2:71–87
Mutukrishna M, Morgan TJH, Henrich J (2016) The when and who of social learning. Evol Hum Behav 37:10–20
O’Connor C, Weatherall JO (2019) The misinformation age: how false beliefs spread. Yale University Press, New Haven
Olsson EJ (2008) Knowledge, truth, and bullshit: reflections on Frankfurt. Midwest Stud Philos 32:94–110
Pluchino A, Latora V, Rapisarda A (2006) Compromise and synchronization in opinion dynamics. Eur Phys J B 50:169–176
Richerson PJ (2019) An integrated Bayesian theory of phenotypic flexibility. Behav Proc 161:54–64
Riegler A, Douven I (2009) Extending the Hegselmann–Krause model III: from single beliefs to complex belief states. Episteme 6:145–163
Rosenstock S, Bruner J, O’Connor C (2017) In epistemic networks, is less really more? Philos Sci 84:234–252
Schawe H, Fontaine S, Hernández L (2021) Network bridges foster consensus: bounded confidence models in networked societies. Phys Rev Res 3:023208
Schurz G (2008) The meta-inductivist’s winning strategy in the prediction game: a new approach to Hume’s problem. Philos Sci 75:278–305
Schurz G (2019) Hume’s problem solved: the optimality of meta-induction. MIT Press, Cambridge
Schurz G, Hertwig R (2019) Cognitive success. Topics in cognitive. Science 11:7–36
Selten R (1998) Axiomatic characterization of the quadratic scoring rule. Exp Econ 1:43–62
Sunstein CR (2019) Conformity: the power of social influences. New York University Press, New York
Tomasello M (1999) The cultural origins of human cognition. Harvard University Press, Cambridge
Tomasello M (2019) Becoming human: a theory of ontogeny. Harvard University Press, Cambridge
van Fraassen BC (1989) Laws and symmetry. Oxford University Press, Oxford
Wolpert DH (1996) The lack of a priori distinctions between learning algorithms. Neural Comput 8:1341–1390
Wolpert DH, Macready WG (1997) No free lunch theorems for optimization. IEEE Trans Evol Comput 1:67–82
Wood LA, Kendal RL, Flynn EG (2012) Context-dependent model-based biases in cultural transmission: children’s imitation is affected by model age over model knowledge state. Evol Hum Behav 33:387–394
Wood LA, Kendal RL, Flynn EG (2013) Whom do children copy? Model-based biases in social learning. Dev Rev 33:341–356
Zollman KJS (2007) The communication structure of epistemic communities. Philos Sci 74:574–587
Zollman KJS (2010) The epistemic benefit of transient diversity. Erkenntnis 72:17–35
Zollman KJS (2011) Social network structure and the achievement of consensus. Politics Philos Econ 11:26–44
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We are greatly indebted to three anonymous referees for valuable comments on a previous version of this paper.
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The code for the simulations and analyses reported in this paper was written in the scientific computing language Julia (Bezanson et al. 2017). Interested readers can download the code from this repository: https://github.com/IgorDouven/Integrating-Individual-and-Social-Learning.
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Douven, I., Schurz, G. Integrating individual and social learning: accuracy and evolutionary viability. Comput Math Organ Theory 30, 32–74 (2024). https://doi.org/10.1007/s10588-022-09372-1
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DOI: https://doi.org/10.1007/s10588-022-09372-1