Critical Mass (sociodynamics)
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In
social dynamics Social dynamics (or sociodynamics) is the study of the behavior of groups that results from the interactions of individual group members as well to the study of the relationship between individual interactions and group level behaviors. Overv ...
, critical mass is a sufficient number of adopters of a new idea, technology or innovation in a social system so that the rate of adoption becomes self-sustaining and creates further growth. The point at which critical mass is achieved is sometimes referred to as a threshold within the
threshold model In mathematical or statistical modeling a threshold model is any model where a threshold value, or set of threshold values, is used to distinguish ranges of values where the behaviour predicted by the model varies in some important way. A particula ...
of
statistical modeling A statistical model is a mathematical model that embodies a set of statistical assumptions concerning the generation of sample data (and similar data from a larger population). A statistical model represents, often in considerably idealized form, ...
. The term
critical mass In nuclear engineering, a critical mass is the smallest amount of fissile material needed for a sustained nuclear chain reaction. The critical mass of a fissionable material depends upon its nuclear properties (specifically, its nuclear fissi ...
is borrowed from nuclear physics and in that field, it refers to the amount of a substance needed to sustain a chain reaction. Within social sciences, critical mass has its roots in sociology and is often used to explain the conditions under which reciprocal behavior is started within collective groups, and how it becomes self-sustaining. Recent technology research in platform ecosystems shows that apart from the quantitative notion of a “sufficient number” critical mass is also influenced by qualitative properties such as reputation, interests, commitments, capabilities, goals, consensuses, and decisions, all of which are crucial in determining whether reciprocal behavior can be started to achieve sustainability to a commitment such as an idea, new technology, or innovation. Other social factors that are important include the size, inter-dependencies and level of communication in a society or one of its subcultures. Another is social stigma, or the possibility of public advocacy due to such a factor. Critical mass is a concept used in a variety of contexts, including
physics Physics is the natural science that studies matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which r ...
,
group dynamics Group dynamics is a system of behaviors and psychological processes occurring within a social group (''intra''group dynamics), or between social groups ( ''inter''group dynamics). The study of group dynamics can be useful in understanding decision- ...
,
politics Politics (from , ) is the set of activities that are associated with making decisions in groups, or other forms of power relations among individuals, such as the distribution of resources or status. The branch of social science that studies ...
,
public opinion Public opinion is the collective opinion on a specific topic or voting intention relevant to a society. It is the people's views on matters affecting them. Etymology The term "public opinion" was derived from the French ', which was first use ...
, and
technology Technology is the application of knowledge to reach practical goals in a specifiable and reproducible way. The word ''technology'' may also mean the product of such an endeavor. The use of technology is widely prevalent in medicine, science, ...
.


History

The concept of critical mass was originally created by game theorist
Thomas Schelling Thomas Crombie Schelling (April 14, 1921 – December 13, 2016) was an American economist and professor of foreign policy, national security, nuclear strategy, and arms control at the School of Public Policy at University of Maryland, College ...
and sociologist
Mark Granovetter Mark Sanford Granovetter (; born October 20, 1943) is an American sociologist and professor at Stanford University. He is best known for his work in social network theory and in economic sociology, particularly his theory on the spread of inform ...
to explain the actions and behaviors of a wide range of people and phenomenon. The concept was first established (although not explicitly named) in Schelling's essay about racial segregation in neighborhoods, published in 1971 in the Journal of Mathematical Sociology, and later refined in his book, ''Micromotives and Macrobehavior'', published in 1978. He did use the term "critical density" with regard to pollution in his "On the Ecology of Micromotives". Mark Granovetter, in his essay "Threshold models of collective behavior", published in the
American Journal of Sociology The ''American Journal of Sociology'' is a peer-reviewed bi-monthly academic journal that publishes original research and book reviews in the field of sociology and related social sciences. It was founded in 1895 as the first journal in its disci ...
in 1978 worked to solidify the theory. Everett Rogers later cites them both in his important work ''Diffusion of Innovations'', in which critical mass plays an important role.


Predecessors

The concept of critical mass had existed before it entered a sociology context. It was an established concept in
medicine Medicine is the science and practice of caring for a patient, managing the diagnosis, prognosis, prevention, treatment, palliation of their injury or disease, and promoting their health. Medicine encompasses a variety of health care pract ...
, specifically
epidemiology Epidemiology is the study and analysis of the distribution (who, when, and where), patterns and determinants of health and disease conditions in a defined population. It is a cornerstone of public health, and shapes policy decisions and evidenc ...
, since the 1920s, as it helped to explain the spread of illnesses. It had also been a present, if not solidified, idea in the study of consumer habits and economics, especially in
General Equilibrium Theory In economics, general equilibrium theory attempts to explain the behavior of supply, demand, and prices in a whole economy with several or many interacting markets, by seeking to prove that the interaction of demand and supply will result in an ov ...
. In his papers, Schelling quotes the well-known "The Market for Lemons: Quality Uncertainty and the Market Mechanism" paper written in 1970 by George Akerlof. Similarly, Granovetter cited the
Nash Equilibrium In game theory, the Nash equilibrium, named after the mathematician John Nash, is the most common way to define the solution of a non-cooperative game involving two or more players. In a Nash equilibrium, each player is assumed to know the equili ...
game in his papers. Finally,
Herbert A. Simon Herbert Alexander Simon (June 15, 1916 – February 9, 2001) was an American political scientist, with a Ph.D. in political science, whose work also influenced the fields of computer science, economics, and cognitive psychology. His primary ...
's essay, "Bandwagon and underdog effects and the possibility of election predictions", published in 1954 in
Public Opinion Quarterly ''Public Opinion Quarterly'' is an academic journal published by Oxford University Press for the American Association for Public Opinion Research, covering communication studies and political science. It was established in 1937 and according to t ...
, has been cited as a predecessor to the concept we now know as critical mass.


Logic of collective action and common good

Critical mass and the theories behind it help us to understand aspects of humans as they act and interact in a larger social setting. Certain theories, such as
Mancur Olson Mançur Lloyd Olson Jr. (; January 22, 1932 – February 19, 1998) was an American economist and political scientist who taught at the University of Maryland, College Park. His most influential contributions were in institutional economics, and i ...
's Logic of Collective Action or
Garrett Hardin Garrett James Hardin (April 21, 1915 – September 14, 2003) was an American ecologist. He focused his career on the issue of human overpopulation, and is best known for his exposition of the tragedy of the commons in a 1968 paper of the same t ...
's
Tragedy of the Commons Tragedy (from the grc-gre, τραγῳδία, ''tragōidia'', ''tragōidia'') is a genre of drama based on human suffering and, mainly, the terrible or sorrowful events that befall a main character. Traditionally, the intention of tragedy ...
, work to help us understand why humans do or adopt certain things which are beneficial to them, or, more importantly, why they do not. Much of this reasoning has to do with individual interests trumping that which is best for the collective whole, which may not be obvious at the time. Oliver, Marwell, and Teixeira tackle this subject in relation to critical theory in a 1985 article published in the
American Journal of Sociology The ''American Journal of Sociology'' is a peer-reviewed bi-monthly academic journal that publishes original research and book reviews in the field of sociology and related social sciences. It was founded in 1895 as the first journal in its disci ...
. In their essay, they define that action in service of a public good as "
collective action Collective action refers to action taken together by a group of people whose goal is to enhance their condition and achieve a common objective. It is a term that has formulations and theories in many areas of the social sciences including psych ...
". "Collective Action" is beneficial to all, regardless of individual contribution. By their definition, then, "critical mass" is the small segment of a societal system that does the work or action required to achieve the common good. The "Production Function" is the correlation between resources, or what individuals give in an effort to achieve public good, and the achievement of that good. Such function can be decelerating, where there is less utility per unit of resource, and in such a case, resource can taper off. On the other hand, the function can be accelerating, where the more resources that are used the bigger the payback. "Heterogeneity" is also important to the achievement of a common good. Variations (heterogeneity) in the value individuals put on a common good or the effort and resources people give is beneficial, because if certain people stand to gain more, they are willing to give or pay more.


Gender politics

Critical mass theory in gender politics and collective political action is defined as the critical number of personnel needed to affect policy and make a change not as the token but as an influential body. This number has been placed at 30%, before women are able to make a substantial difference in politics. However, other research suggests lower numbers of women working together in legislature can also affect political change. Kathleen Bratton goes so far as to say that women, in legislatures where they make up less than 15% of the membership, may actually be encouraged to develop legislative agendas that are distinct from those of their male colleagues. Others argue that we should look more closely at parliamentary and electoral systems instead of critical mass.


Interactive media

While critical mass can be applied to many different aspects of sociodynamics, it becomes increasingly applicable to innovations in interactive media such as the telephone, fax, or email. With other non-interactive innovations, the dependence on other users was generally sequential, meaning that the early adopters influenced the later adopters to use the innovation. However, with interactive media, the interdependence was reciprocal, meaning both users influenced each other. This is due to the fact that interactive media have high
network effect In economics, a network effect (also called network externality or demand-side economies of scale) is the phenomenon by which the value or utility a user derives from a good or service depends on the number of users of compatible products. Net ...
,Rogers, Everett M. Diffusion of Innovations. New York: Simon & Schuster, 2003. Print. where in the value and utility of a good or service increases the more users it has. Thus, the increase of adopters and quickness to reach critical mass can therefore be faster and more intense with interactive media, as can the rate at which previous users discontinue their use. The more people that use it, the more beneficial it will be, thus creating a type of snowball effect, and conversely, if users begin to stop using the innovation, the innovation loses utility, thus pushing more users to discontinue their use.


Markus essay

In M. Lynne Markus' essay in ''Communication Research'' entitled "Toward a 'Critical Mass' Theory of Interactive Media", several propositions are made that try to predict under what circumstances interactive media is most likely to achieve critical mass and reach
universal access Apple Universal Access is a component of the macOS operating system that provides computing abilities to people with visual impairment, hearing impairment, or physical disability. Components Universal Access is a preference pane of the Sys ...
, a "common good" using Oliver, ''et al''.'s terminology. One proposition states that such media's existence is all or nothing, where in if universal access is not achieved, then, eventually, use will discontinue. Another proposition suggests that a media's ease of use and inexpensiveness, as well as its utilization of an "active notification capability" will help it achieve universal access. The third proposition states that the heterogeneity, as discussed by Oliver, et al. is beneficial, especially if users are dispersed over a larger area, thus necessitating interactivity via media. Fourth, it is very helpful to have highly sought-after individuals to act as early adopters, as their use acts as incentive for later users. Finally, Markus posits that interventions, both monetarily and otherwise, by governments, businesses, or groups of individuals will help a media reach its critical mass and achieve universal access.


Fax machine example

An example put forth by Rogers in ''Diffusion of Innovations'' was that of the
fax machine Fax (short for facsimile), sometimes called telecopying or telefax (the latter short for telefacsimile), is the telephonic transmission of scanned printed material (both text and images), normally to a telephone number connected to a printer o ...
, which had been around for almost 150 years before it became popular and widely used. It had existed in various forms and for various uses, but with more advancements in the technology of faxes, including the use of existing phone lines to transmit information, coupled with falling prices in both machines and cost per fax, the fax machine reached a critical mass in 1987, when "Americans began to assume that 'everybody else' had a fax machine".


Social media example

Critical mass is fundamental for social media sites to maintain a significant userbase. Reaching a sustainable population is dependent on the collective use of the technology rather than the individual’s use. The adoption of the platform creates the effects of
positive externalities In economics, an externality or external cost is an indirect cost or benefit to an uninvolved third party that arises as an effect of another party's (or parties') activity. Externalities can be considered as unpriced goods involved in either co ...
whereby each additional user provides additional perceived benefits to previous and potential adopters.
Facebook Facebook is an online social media and social networking service owned by American company Meta Platforms. Founded in 2004 by Mark Zuckerberg with fellow Harvard College students and roommates Eduardo Saverin, Andrew McCollum, Dustin M ...
provides a good illustration of critical mass. The initial stages of Facebook had limited value to users due to the lack of network effects and critical mass. The principle behind the strategy is that at each time Facebook enlarged the size of the community, the saturation never drops below the critical mass, reaching the desired diffusion effect discussed in Rogers, ''
Diffusion of innovations Diffusion of innovations is a theory that seeks to explain how, why, and at what rate new ideas and technology spread. Everett Rogers, a professor of communication studies, popularized the theory in his book ''Diffusion of Innovations''; the book ...
.'' Facebook promoted the innovation to groups that are likely to adopt in mass. Between 2003-2004 Facebook was exclusive to universities such as Harvard, Yale and 34 other schools. Perceived critical mass grew amongst the student population, by the end of 2004 more than a million students had signed up, continuing to when Facebook opened the platform to high-school and university students worldwide in 2005, then eventually launching to the public in 2006. By obtaining critical mass in each relative population before advancing to the next audience, Facebook developed enough saturation to become self-sustaining. Becoming self-sustained helps grow and maintain network size, whilst also enhancing the perceived critical mass of those yet to adopt.


See also

*
Bandwagon effect The bandwagon effect is the tendency for people to adopt certain behaviors, styles, or attitudes simply because others are doing so. More specifically, it is a cognitive bias by which public opinion or behaviours can alter due to particular acti ...
** Economics of networks *
Network effect In economics, a network effect (also called network externality or demand-side economies of scale) is the phenomenon by which the value or utility a user derives from a good or service depends on the number of users of compatible products. Net ...
*
One-third hypothesis The one-third hypothesis (OTH) is a sociodynamic idea—advanced by Hugo O. Engelmann—that asserts that a group's prominence increases as it approaches one-third of the population and diminishes when it exceeds or falls below one-third of the pop ...
*
Positive feedback Positive feedback (exacerbating feedback, self-reinforcing feedback) is a process that occurs in a feedback loop which exacerbates the effects of a small disturbance. That is, the effects of a perturbation on a system include an increase in the ...
*
Tipping point (sociology) In sociology, a tipping point is a point in time when a group—or many group members—rapidly and dramatically changes its behavior by widely adopting a previously rare practice. History The phrase was first used in sociology by Morton Grodzi ...
*
Viral phenomenon Viral phenomena or viral sensation are objects or patterns that are able to replicate themselves or convert other objects into copies of themselves when these objects are exposed to them. Analogous to the way in which viruses propagate, the ter ...
*
Metcalfe's law Metcalfe's law states that the value of a telecommunications network is proportional to the square of the number of connected users of the system (''n''2). First formulated in this form by George Gilder in 1993, and attributed to Robert Metcalf ...


References


Further reading

*
Philip Ball Philip Ball (born 1962) is a British science writer. For over twenty years he has been an editor of the journal ''Nature'' for which he continues to write regularly. He now writes a regular column in '' Chemistry World''. He has contributed to ...
: ''Critical Mass: How One Thing Leads to Another'', Farrar, Straus and Giroux, {{ISBN, 0-374-53041-6 *
Mancur Olson Mançur Lloyd Olson Jr. (; January 22, 1932 – February 19, 1998) was an American economist and political scientist who taught at the University of Maryland, College Park. His most influential contributions were in institutional economics, and i ...
: ''The Logic of Collective Action'', Harvard University Press, 1971 Motion (physics) Social systems Systems theory Social dynamics