Matthew effect

The Matthew effect of accumulated advantage, sometimes called the Matthew principle, is the tendency of individuals to accrue social or economic success in proportion to their initial level of popularity, friends, and wealth. It is sometimes summarized by the adage or platitude "the rich get richer and the poor get poorer".^[1][2] The term was coined by sociologists Robert K. Merton and Harriet Zuckerman^[3] in 1968^[4] and takes its name from a loose interpretation of the Parable of the Talents in the biblical Gospel of Matthew.

The Matthew effect may largely be explained by preferential attachment, whereby wealth or credit is distributed among individuals according to how much they already have. This has the net effect of making it increasingly difficult for low ranked individuals to increase their totals because they have fewer resources to risk over time, and increasingly easy for high rank individuals to preserve a large total because they have a large amount to risk.^[5]

Early studies of Matthew effects were primarily concerned with the inequality in the way scientists were recognized for their work. However, Norman W. Storer, of Columbia University, led a new wave of research. He believed he discovered that the inequality that existed in the social sciences also existed in other institutions.^[6]

Etymology

The concept is named according to two of the parables of Jesus in the synoptic Gospels (Table 2, of the Eusebian Canons).

The concept concludes both synoptic versions of the parable of the talents:

For to every one who has will more be given, and he will have abundance; but from him who has not, even what he has will be taken away.

— Matthew 25:29, RSV.

I tell you, that to every one who has will more be given; but from him who has not, even what he has will be taken away.

— Luke 19:26, RSV.

The concept concludes two of the three synoptic versions of the parable of the lamp under a bushel (absent in the version of Matthew):

For to him who has will more be given; and from him who has not, even what he has will be taken away.

— Mark 4:25, RSV.

Take heed then how you hear; for to him who has will more be given, and from him who has not, even what he thinks that he has will be taken away.

— Luke 8:18, RSV.

The concept is presented again in Matthew outside of a parable during Christ's explanation to his disciples of the purpose of parables:

And he answered them, "To you it has been given to know the secrets of the kingdom of heaven, but to them it has not been given. For to him who has will more be given, and he will have abundance; but from him who has not, even what he has will be taken away."

— Matthew 13:11–12, RSV.

Sociology of science

In the sociology of science, "Matthew effect" was a term coined by Robert K. Merton and Harriet Anne Zuckerman to describe how, among other things, eminent scientists will often get more credit than a comparatively unknown researcher, even if their work is similar; it also means that credit will usually be given to researchers who are already famous.^[4][7] For example, a prize will almost always be awarded to the most senior researcher involved in a project, even if all the work was done by a graduate student. This was later formulated by Stephen Stigler as Stigler's law of eponymy – "No scientific discovery is named after its original discoverer" – with Stigler explicitly naming Merton as the true discoverer, making his "law" an example of itself.

Merton and Zuckerman furthermore argued that in the scientific community the Matthew effect reaches beyond simple reputation to influence the wider communication system, playing a part in social selection processes and resulting in a concentration of resources and talent. They gave as an example the disproportionate visibility given to articles from acknowledged authors, at the expense of equally valid or superior articles written by unknown authors. They also noted that the concentration of attention on eminent individuals can lead to an increase in their self-assurance, pushing them to perform research in important but risky problem areas.^[4]

Examples

• Experiments manipulating download counts or bestseller lists for books and music have shown consumer activity follows the apparent popularity.^[8][9][10]
• A model for career progress quantitatively incorporates the Matthew Effect in order to predict the distribution of individual career length in competitive professions. The model predictions are validated by analyzing the empirical distributions of career length for careers in science and professional sports (e.g. Major League Baseball).^[11] As a result, the disparity between the large number of short careers and the relatively small number of extremely long careers can be explained by the "rich-get-richer" mechanism, which in this framework, provides more experienced and more reputable individuals with a competitive advantage in obtaining new career opportunities.
• In his 2011 book The Better Angels of Our Nature: Why Violence Has Declined, cognitive psychologist Steven Pinker refers to the Matthew Effect in societies, whereby everything seems to go right in some, and wrong in others. He speculates in Chapter 9 that this could be the result of a positive feedback loop in which reckless behavior by some individuals creates a chaotic environment that encourages reckless behavior by others. He cites research by Martin Daly and Margo Wilson showing that the more unstable the environment, the more steeply people discount the future, and thus the less forward-looking their behavior.
• A large Matthew effect was discovered in a study of science funding in the Netherlands, where winners just above the funding threshold were found to accumulate more than twice as much funding during the subsequent eight years as non-winners with near-identical review scores that fell just below the threshold.^[12]
• In science, dramatic differences in productivity may be explained by three phenomena: sacred spark, cumulative advantage, and search costs minimization by journal editors. The sacred spark paradigm suggests that scientists differ in their initial abilities, talent, skills, persistence, work habits, etc. that provide particular individuals with an early advantage. These factors have a multiplicative effect which helps these scholars succeed later. The cumulative advantage model argues that an initial success helps a researcher gain access to resources (e.g., teaching release, best graduate students, funding, facilities, etc.), which in turn results in further success. Search costs minimization by journal editors takes place when editors try to save time and effort by consciously or subconsciously selecting articles from well-known scholars. Whereas the exact mechanism underlying these phenomena is yet unknown, it is documented that a minority of all academics produce the most research output and attract the most citations.^[13]

Education

In education, the term "Matthew effect" has been adopted by psychologist Keith Stanovich and popularised by education theorist Anthony Kelly to describe a phenomenon observed in research on how new readers acquire the skills to read. Effectively, early success in acquiring reading skills usually leads to later successes in reading as the learner grows, while failing to learn to read before the third or fourth year of schooling may be indicative of lifelong problems in learning new skills.^[14]

This is because children who fall behind in reading would read less, increasing the gap between them and their peers. Later, when students need to "read to learn" (where before they were learning to read), their reading difficulty creates difficulty in most other subjects. In this way they fall further and further behind in school, dropping out at a much higher rate than their peers.

In the words of Stanovich:

Slow reading acquisition has cognitive, behavioral, and motivational consequences that slow the development of other cognitive skills and inhibit performance on many academic tasks. In short, as reading develops, other cognitive processes linked to it track the level of reading skill. Knowledge bases that are in reciprocal relationships with reading are also inhibited from further development. The longer this developmental sequence is allowed to continue, the more generalized the deficits will become, seeping into more and more areas of cognition and behavior. Or to put it more simply – and sadly – in the words of a tearful nine-year-old, already falling frustratingly behind his peers in reading progress, "Reading affects everything you do."^[15]

This effect has been used successfully in legal cases, such as Brody v. Dare County Board of Education.^[16] Such cases argue that early education intervention is essential for disabled children, and that failing to do so negatively impacts those children.^[17]

Network science

In network science, the Matthew effect is used to describe the preferential attachment of earlier nodes in a network, which explains that these nodes tend to attract more links early on.^[18] "Because of preferential attachment, a node that acquires more connections than another one will increase its connectivity at a higher rate, and thus an initial difference in the connectivity between two nodes will increase further as the network grows, while the degree of individual nodes will grow proportional with the square root of time."^[5] The Matthew Effect therefore explains the growth of some nodes in vast networks such as the Internet.^[19]

Markets with social influence

Social influence often induces a rich-get-richer phenomenon where popular products tend to become even more popular.^[20] An example of the Matthew Effect's role on social influence is an experiment by Salganik, Dodds, and Watts in which they created an experimental virtual market named MUSICLAB. In MUSICLAB, people could listen to music and choose to download the songs they enjoyed the most. The song choices were unknown songs produced by unknown bands. There were two groups tested; one group was given zero additional information on the songs and one group was told the popularity of each song and the number of times it had previously been downloaded.^[21]

As a result, the group that saw which songs were the most popular and were downloaded the most were then biased to choose those songs as well. The songs that were most popular and downloaded the most stayed at the top of the list and consistently received the most plays. To summarize the experiment's findings, the performance rankings had the largest effect boosting expected downloads the most. Download rankings had a decent effect; however, not as impactful as the performance rankings.^[22] Also, Abeliuk et al. (2016) proved that when utilizing “performance rankings”, a monopoly will be created for the most popular songs.^[23]

See also

• Attention inequality
• Capital accumulation
• Convergence
• Google Scholar effect
• The internal contradictions of capital accumulation
• Lindy effect
• Matilda effect
• Metcalfe's law
• Pareto distribution
• Positive feedback
• Preferential attachment
• Quotation § Misquotations
• Social network analysis
• Virtuous circle and vicious circle
• Wealth concentration

References

1. Gladwell, Malcolm (2008-11-18). Outliers: The Story of Success (1 ed.). Little, Brown and Company. ISBN 978-0-316-01792-3.
2. Shaywitz, David A. (2008-11-15). "The Elements of Success". The Wall Street Journal. Retrieved 2009-01-12.
3. "The Matthew Effect in Science, II : Cumulative Advantage and the Symbolism of Intellectual Property by Robert K. Merton" (PDF). Retrieved 2019-05-04.
4. Merton, Robert K. (1968). "The Matthew Effect in Science" (PDF). Science. 159 (3810): 56–63. Bibcode:1968Sci...159...56M. doi:10.1126/science.159.3810.56. PMID 17737466. S2CID 3526819.
5. Perc, Matjaž (2014). "The Matthew effect in empirical data". Journal of the Royal Society Interface. 12 (104): 20140378. arXiv:1408.5124. Bibcode:2014arXiv1408.5124P. doi:10.1098/rsif.2014.0378. PMC 4233686. PMID 24990288.
6. Rigney, Daniel (2010). "Matthew Effects in the Economy.” The Matthew Effect: How Advantage Begets Further Advantage. Columbia University Press. pp. pp. 35–52.
7. Merton, Robert K (1988). "The Matthew Effect in Science, II: Cumulative advantage and the symbolism of intellectual property" (PDF). Isis. 79 (4): 606–623. doi:10.1086/354848. S2CID 17167736.
8. Salganik, Matthew J.; Dodds, Peter S.; Watts, Duncan J. (2006). "Experimental Study of Inequality and Unpredictability in an Artificial Cultural Market" (PDF). Science. 311 (5762): 854–856. Bibcode:2006Sci...311..854S. doi:10.1126/science.1121066. PMID 16469928. S2CID 7310490.
9. Sorenson, Alan T (2007). "Bestseller Lists and Product Variety" (PDF). Journal of Industrial Economics. 55 (4): 715–738. doi:10.1111/j.1467-6451.2007.00327.x. S2CID 49028945.
10. van de Rijt, A.; Kang, S.; Restivo, M.; Patil, A. (2014). "Field Experiments of Success-Breeds-Success Dynamics" (PDF). PNAS. 111 (19): 6934–6939. Bibcode:2014PNAS..111.6934V. doi:10.1073/pnas.1316836111. PMC 4024896. PMID 24778230.
11. Petersen, Alexander M.; Jung, Woo-Sung; Yang, Jae-Suk; Stanley, H. Eugene (2011). "Quantitative and Empirical demonstration of the Matthew Effect in a study of Career Longevity". PNAS. 108 (1): 18–23. arXiv:0806.1224. Bibcode:2011PNAS..108...18P. doi:10.1073/pnas.1016733108. PMC 3017158. PMID 21173276.
12. Bol, T.; de Vaan, M.; van de Rijt, A. (2018). "The Matthew Effect in Science Funding" (PDF). PNAS. 115 (19): 4887–4890. Bibcode:2018PNAS..115.4887B. doi:10.1073/pnas.1719557115. PMC 5948972. PMID 29686094.
13. Serenko, A.; Cox, R.; Bontis, N.; Booker, L. (2011). "The Superstar Phenomenon in the Knowledge Management and Intellectual Capital Academic Discipline" (PDF). Journal of Informetrics. 5: 333–345.
14. Kempe, C., Eriksson-Gustavsson, A. L., & Samuelsson, S (2011). "Are There any Matthew Effects in Literacy and Cognitive Development?". Scandinavian Journal of Educational Research. 55 (2): 181–196. doi:10.1080/00313831.2011.554699. S2CID 145163197.{{cite journal}}: CS1 maint: multiple names: authors list (link)
15. Adams, Marilyn J. (1990). Beginning to Read: Thinking and Learning about Print. Cambridge, MA: MIT Press. pp. 59–60.
16. "Wrightslaw - North Carolina, Review Officer Special Education Decision". www.wrightslaw.com. Retrieved 2022-12-22.
17. "Assessment & Testing - The Matthew Effect - Wrightslaw.com". www.wrightslaw.com. Retrieved 2022-12-22.
18. Barabási, A-L; Albert, R (1999). "Emergence of scaling in random networks". Science. 286 (5439): 509–512. arXiv:cond-mat/9910332. Bibcode:1999Sci...286..509B. doi:10.1126/science.286.5439.509. PMID 10521342. S2CID 524106.
19. Guadamuz, Andres (2011). Networks, Complexity And Internet Regulation – Scale-Free Law. Edward Elgar. ISBN 9781848443105.
20. Altszyler, E; Berbeglia, F.; Berbeglia, G.; Van Hentenryck, P. (2017). "Transient dynamics in trial-offer markets with social influence: Trade-offs between appeal and quality". PLOS ONE. 12 (7): e0180040. Bibcode:2017PLoSO..1280040A. doi:10.1371/journal.pone.0180040. PMC 5528888. PMID 28746334.
21. Berbeglia, F.; Van Hentenryck, P. (2017-02-10). Taming the Matthew Effect in Online Markets with Social Influence (PDF). Thirty-First AAAI Conference on Artificial Intelligence. Vol. 31. San Francisco. doi:10.1609/aaai.v31i1.10511. from the original on 2022-12-30. Retrieved 2022-12-30.
22. Salganik, Matthew J.; Dodds, Peter S.; Watts, Duncan J. (2006-02-10). "Experimental Study of Inequality and Unpredictability in an Artificial Cultural Market". Science. 311 (5762): 854–856. Bibcode:2006Sci...311..854S. doi:10.1126/science.1121066. PMID 16469928. S2CID 7310490.
23. Abeliuk, Andrés; Berbeglia, Gerardo; Cebrian, Manuel; Van Hentenryck, Pascal (2015-04-01). Huerta-Quintanilla, Rodrigo (ed.). "The Benefits of Social Influence in Optimized Cultural Markets". PLOS ONE. 10 (4): e0121934. Bibcode:2015PLoSO..1021934A. doi:10.1371/journal.pone.0121934. PMC 4382093. PMID 25831093.

Further reading

• Bahr, Peter Riley (2007). "Double jeopardy: Testing the effects of multiple basic skill deficiencies on successful remediation". Research in Higher Education. 48 (6): 695–725. doi:10.1007/s11162-006-9047-y. S2CID 144937969.
• Cunningham, A. E., & Chen, Y.–J. (2014). Rich-get-richer effect (Matthew Effects). In P. Brooks & V. Kempe (Eds.), Encyclopedia of Language Development. New York: Sage.
• Rigney, Daniel (2010). The Matthew Effect: How Advantage Begets Further Advantage. Columbia University Press.
• Stanovich, Keith E (1986). "Matthew Effects in Reading: Some Consequences of Individual Differences in the Acquisition of Literacy" (PDF). Reading Research Quarterly. 21 (4): 360–407. doi:10.1598/rrq.21.4.1.
• Stanovich, Keith E. (2000). Progress in Understanding Reading: Scientific Foundations and New Frontiers. New York: Guilford Press.nningham, A. E., & Chen, Y.–J. (2014). Rich-get-richer effect (Matthew Effects). In P. Brooks & V. Kempe (Eds.), Encyclopedia of Language Development. New York: Sage.