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Social Sciences

Path Dependence

How history constrains the future through self-reinforcing lock-in

Table of Contents
  1. Lead Summary
  2. Core Concepts
    1. Increasing Returns and the Mechanism of Lock-in
    2. The Pólya Urn Formalism
  3. The QWERTY Controversy
    1. The Liebowitz-Margolis Critique
  4. Critical Junctures and Institutional Path Dependence
    1. Critical Junctures
    2. Mechanisms of Institutional Lock-in
    3. Politics Is More Path-Dependent Than Markets
    4. Mahoney's Typology of Sequences and Mechanisms
    5. Gradual Institutional Change
  5. Sociotechnical Momentum
  6. Psychological Micro-Foundations
  7. Evolutionary Contingency
    1. Mechanisms of Evolutionary Contingency
    2. Experimental Evidence and the LTEE
    3. The Contingency-Convergence Debate
    4. Priority Effects in Ecology
  8. A Concrete Case: Carbon Lock-In
  9. Controversies and Debates
    1. Does Lock-in Imply Inefficiency?
    2. Contingency vs. Determinism
    3. Is Institutional Persistence Automatic?
  10. Key Figures
  11. Further Exploration

Lead Summary

Path dependence is the property of a system whereby its current state is explained not just by present conditions but by the sequence of events that preceded it. History matters: small, often accidental early choices become self-reinforcing through feedback loops that progressively make alternatives less accessible and more costly to adopt. Once a path is established, departure from it requires overcoming accumulated switching costs, network effects, sunk-cost investments, and cognitive inertia—even when superior alternatives exist.

The concept originated in economics with W. Brian Arthur's formal models of competing technologies and with Paul David's 1985 analysis of the QWERTY keyboard. It was subsequently extended to political institutions by Paul Pierson and James Mahoney, to large technological systems by Thomas P. Hughes in Science and Technology Studies, and has important analogues in evolutionary biology, where it was articulated most memorably by Stephen Jay Gould's "tape of life" metaphor.

The concept has generated sustained debate—particularly over whether observed historical lock-ins are genuinely inefficient or whether they represent rational accommodation to coordination constraints—but its framework for understanding how sequences of events create constrained futures has proved durable and influential across multiple disciplines.


Core Concepts

Increasing Returns and the Mechanism of Lock-in

The economic mechanism of path dependence rests on increasing returns: the property that the more a technology, institution, or practice is used, the more valuable it becomes. Arthur identifies four distinct sources of increasing returns that drive lock-in:

  1. Large initial setup or fixed costs — when investment is required to adopt a technology, each additional adopter amortizes those costs further, making the established technology progressively cheaper per user.
  2. Network effects — a demand-side mechanism in which each user receives higher utility as adoption grows, creating self-fulfilling positive feedback: broader adoption increases individual willingness to pay, which incentivizes further adoption. Network effects operate through interdependencies in preferences rather than cost reductions.
  3. Learning effects — use of a technology produces improvement both in the technology itself (through debugging, refinement, and innovation) and in accumulated user expertise and competence. As a technology is adopted more widely, knowledge accumulates about how to use and improve it, which makes the technology progressively more valuable. This mechanism differs from static network effects because it operates through knowledge production rather than simple coordination benefits.
  4. Adaptive expectations — market beliefs about which technology will dominate become determinative of outcomes. If consumers believe a technology will succeed, they purchase it, confirming success. This self-fulfilling prophecy breaks with neoclassical assumptions of exogenous preferences and unique equilibria.

Increasing returns mechanisms fundamentally break core neoclassical assumptions: they violate the assumption of diminishing returns (which guarantees unique equilibrium), demonstrate that outcomes depend on history rather than fundamentals alone, and show that agents' expectations can be endogenous to outcomes. Rather than producing a single, inevitable, or efficient outcome, increasing-returns economies can settle into any of multiple equilibria.

The Pólya Urn Formalism

Arthur formalized path dependence mechanisms through mathematical models adapted from Pólya urn schemes. In this model, each "draw" (technology adoption) changes the composition of the urn (increases returns to the chosen technology), making future draws more likely to favor previously chosen options. This stochastic formalism makes precise how small early differences compound into deterministic-looking outcomes despite underlying randomness. In increasing-returns economies, small random events occurring early in the adoption process are amplified through positive feedback mechanisms to determine which of multiple possible equilibria the system settles into.

In increasing-returns economies, the order of historical events—not the intrinsic merit of competing alternatives—determines which equilibria are reached.

The QWERTY Controversy

The QWERTY keyboard layout became the canonical exemplar of technological lock-in through Paul David's 1985 article "Clio and the Economics of QWERTY" in the American Economic Review. David argued that QWERTY's dominance resulted from historical accident — its association with the Remington typewriter and early touch-typing trainers — combined with network effects and switching costs, despite the subsequent development of the supposedly superior Dvorak layout.

The mechanism David emphasized was contingency: QWERTY's dominance resulted from Remington's early market success combined with the fortuitous pairing of QWERTY keyboards with the first professional typists (particularly in court reporting), creating network effects that locked in an otherwise unremarkable design.

The Liebowitz-Margolis Critique

This canonical example was directly challenged by Liebowitz and Margolis, who demonstrated that the empirical evidence for Dvorak's superiority contained severe methodological flaws, including direct conflict of interest: August Dvorak himself — the keyboard's inventor and a financial investor in its commercialization — conducted or supervised the key U.S. Navy comparative tests that purportedly showed Dvorak's 75% speed advantage.

Disputed Evidence

The empirical case for Dvorak's superiority rests primarily on tests supervised by August Dvorak himself, a financial stakeholder in the keyboard's commercialization. Both David and Liebowitz-Margolis acknowledge the existence of network effects and switching costs in keyboard adoption — the point of contention is whether they create remediable inefficiency.

More broadly, Liebowitz and Margolis formalized a three-degree taxonomy of path dependence:

  • First-degree: history matters but no efficiency implications — compatible with neoclassical economics.
  • Second-degree: transaction costs and foresight limitations explain apparently inferior outcomes that are actually efficient given real constraints.
  • Third-degree: remediable inefficiencies persist despite available information because coordination costs prohibit the transition — constituting genuine welfare loss.

Liebowitz and Margolis assert that no empirically demonstrated cases of third-degree path dependence exist in real markets: markets have not produced durable lock-ins to knowably inferior technologies where the remedial benefits exceed transition costs.

This critique has cascading implications for path-dependence theory more broadly: if the canonical exemplar does not demonstrate lock-in of the welfare-relevant kind, the burden of proof for other purported cases (VHS vs. Betamax, carbon infrastructure, etc.) becomes substantially heavier.


Critical Junctures and Institutional Path Dependence

Path dependence was brought into political science most influentially by Paul Pierson and James Mahoney, who extended the framework from technologies to political institutions.

Critical Junctures

Critical junctures are moments when institutional arrangements become entrenched through feedback mechanisms that reinforce particular patterns into the future. The Capoccia-Kelemen formulation defines critical junctures by three essential properties:

  1. Heightened plasticity — structural constraints on political decision-making are temporarily relaxed, expanding the range of institutional options.
  2. Brevity — they are relatively short periods relative to the much longer subsequent period of path-dependent reproduction.
  3. Consequential choice — genuine alternatives must be available to actors and plausibly attainable ex ante.

Without the contingency criterion, critical junctures collapse into post-hoc narrative rationalization: before the juncture, multiple institutional paths were genuinely possible; after the juncture, one path becomes reproduced through self-reinforcing mechanisms. The brevity of critical junctures is analytically essential — it distinguishes moments of genuine open-endedness from either extended gradual change or continuous institutional flux.

Uncertainty about the future of institutional arrangements is the enabling condition that allows political agency and choice to play decisive causal roles. When actors face genuine uncertainty, their deliberate choices become consequential. During critical junctures, powerful political actors gain substantially expanded capacity to influence institutional creation within a relatively compressed timeframe.

Mechanisms of Institutional Lock-in

Lock-in develops through two principal mechanisms following a critical juncture: learning effects (repeated use of the chosen institutional path increases payoffs and competence) and uncertainty reduction (familiarity with the chosen path decreases perceived risk relative to alternatives). These mechanisms transform contingent juncture choices into quasi-deterministic trajectories.

Institutional lock-in operates at multiple levels: formal regulations establish binding constraints; user routines represent established patterns of organizational action adapted to existing arrangements; cognitive routines reflect learned schemas, expectations, and problem-solving approaches. The interconnection of these three dimensions creates self-reinforcing institutional lock-in — actors develop expertise and mental models specific to existing arrangements, making alternative configurations cognitively more difficult to imagine.

Politics Is More Path-Dependent Than Markets

Paul Pierson makes the counterintuitive argument that politics is more susceptible to path dependence than markets, not less. Political institutions exhibit stronger path-dependent dynamics due to higher fixed costs of institutional change, denser network effects through collective action requirements, more pronounced learning effects, and shorter effective time horizons among actors. Political actors face constraints that shorten their effective planning horizons: electoral cycles, uncertainty about future preferences, collective action problems in assembling coalitions for reversal, and the need to maintain current institutional functionality while implementing change.

Furthermore, political institutions create distinctive conditions for magnifying power asymmetries: institutions initially distribute power unevenly; advantaged groups use their augmented power to expand and reinforce the institution further; institutional expansion increases the relative power of already-advantaged groups. This recursive feedback can generate entrenched domination absent major shocks or crises.

Mahoney's Typology of Sequences and Mechanisms

James Mahoney provides sharper conceptual tools by distinguishing path-dependent sequences into self-reinforcing and reactive types:

  • Self-reinforcing sequences: early choices generate increasing returns that progressively make alternatives less attractive.
  • Reactive sequences: early events trigger chains of causally connected responses — action-reaction dynamics where initial choices generate unintended consequences that cumulate into contingent institutional outcomes.

For self-reinforcing sequences, Mahoney identifies four distinct mechanisms of perpetuation: utilitarian (actors rationally choose reproduction because transformation costs exceed benefits), functional (institutions serve aggregate system needs), power-based (institutions distribute power unevenly; advantaged groups use accrued power to reinforce further), and legitimation-based (actors view institutions as legitimate and voluntarily reproduce them through normative commitment rather than calculation).

Gradual Institutional Change

Mahoney and Thelen extend path-dependence theory to account for institutional modification without abandoning the core logic. They identify three mechanisms of gradual institutional change operating within path-dependent frameworks: layering (adding new rules atop existing ones), conversion (repurposing existing institutions toward new goals), and drift (formal institutional stability while environmental change alters institutional effects). Layering can eventually reach tipping points that transform institutional functioning despite appearing minor when initially enacted.

Institutional reproduction and persistence following critical junctures is not automatic or purely structural: institutional survival involves active and ongoing political renegotiation by strategic actors who seek to maintain or adapt the institution. This challenges simplified path-dependence models that treat institutions as frozen residue.


Sociotechnical Momentum

Science and Technology Studies (STS) developed a distinct but related account of technological lock-in under the concept of sociotechnical momentum, most influentially articulated by Thomas P. Hughes.

Sociotechnical momentum refers to the acquired mass, velocity, and forward direction of mature technological systems resulting from tight coupling of physical infrastructure, capital investment, regulatory regimes, professional expertise, ideological commitments, and user practices. Hughes argues that large technological systems are constituted by a seamless web of heterogeneous elements that cannot be neatly separated into technical and social domains: changing the technical core requires simultaneous changes in regulation, professional practice, user expectations, and financial arrangements. This heterogeneous integration explains why systems resist alteration — not because any single cost is prohibitive, but because coordinating change across all interdependent domains is organizationally and politically intractable.

Hughes's Phases
Hughes proposes that large technical systems move through overlapping phases: invention and development, innovation, system growth, momentum, and style. Preventing lock-in is typically far easier in early phases than reversing it in mature phases.

Hughes identifies a temporal distinction in system development: during early inventive phases, technologies are shaped more by social, economic, and political choices. As systems mature and accumulate physical and institutional investment, they transition into a "momentum phase" in which the system's established trajectory increasingly determines what forms of social organization are possible around it. This temporal inversion — from society shaping technology to technology shaping society — distinguishes the STS account from purely economic accounts.

Crucially, the STS account is explicitly not technological determinism. Hughes emphasizes that momentum "is not the equivalent of determinism or autonomy" — systems do not develop along a single predetermined path, nor do they possess autonomous agency. Instead, momentum emerges from the accumulated choices, investments, and institutional configurations of multiple actors over time.

Wiebe Bijker's concept of "obduracy" provides a complementary account: obduracy is constructed through heterogeneous engineering — the process by which system-builders enroll diverse actors (users, regulators, manufacturers, professionals) and align their interests around a particular technical configuration. Once stabilized through such alignment, the system appears immutable not because of technological determinism, but because changing it would require reorganizing the entire heterogeneous network that sustains it.

The political dimensions of sociotechnical momentum are equally important: the inertia of systems reflects not just technical coordination problems but also the interests of powerful actors (incumbent firms, state agencies, professional associations) who benefit from system persistence. Understanding why systems persist requires analyzing power relations and interest structures, not just material interdependencies.

Lock-in mechanisms in this framework are mutually reinforcing across multiple layers: physical infrastructure durability (long-lived capital-intensive systems), learning and expertise effects (professional communities with system-specific deep knowledge), institutional lock-in (regulatory frameworks embedding technical assumptions into law), network externalities (systems requiring complementary infrastructure), cognitive and ideological commitment (organizations internalizing system logics as common sense), and power and interest alignment (incumbent actors with vested interests in system maintenance).


Psychological Micro-Foundations

Path dependence has micro-foundations in individual cognitive and behavioral processes that help explain why agents persist in established paths even when alternatives may be objectively superior.

Reference point framing: In prospect theory, decision-makers evaluate outcomes relative to a reference point rather than in absolute terms. The reference point typically anchors to the status quo, and losses are weighted approximately 2.5 times more heavily than equivalent gains. Where the status quo becomes locked as the psychological reference point, switching to alternatives is invariably framed as incurring losses — even when objectively superior outcomes are available. This framing mechanism is foundational to understanding why path-dependent equilibria persist despite potential Pareto improvements.

Escalation of commitment: Decision-makers are significantly more likely to escalate commitment to a failing course of action when they feel personally responsible for the initial negative outcomes. When actors perceive themselves as causally responsible for a path, psychological pressure to vindicate that commitment through continued investment increases, creating a reinforcing loop between decision responsibility and path persistence.

Behavioral lock-in through increasing returns: Once a behavioral pattern generates increasing returns through positive feedback — whether through learning effects, network externalities, or psychological reinforcement — cognitive and behavioral inertia set in, making it progressively harder for individual decision-makers to switch. Increasing returns create self-reinforcing mechanisms where continued adherence to the established path becomes progressively more rational at the individual level, even if the path remains suboptimal collectively.


Evolutionary Contingency

Evolutionary biology arrived at a parallel concept of path dependence through a different route. Stephen Jay Gould's "tape of life" thought experiment in his 1989 book Wonderful Life is the canonical framing: if evolution could be rewound and run forward again from identical initial conditions, would the same outcomes obtain? Gould's answer was no — evolution is fundamentally contingent on chance events, historical circumstances, and small early variations.

Mechanisms of Evolutionary Contingency

Evolutionary contingency arises from three fundamental mechanisms: random mutation provides undirected variation (no strategic agency); natural selection acts on heritable variation but creates path-dependent landscapes through epistasis; and genetic drift introduces stochastic sampling effects independent of fitness. Unlike social path-dependence where self-reinforcing mechanisms require strategic behavior and institutions, biological contingency operates through non-strategic processes.

Sign epistasis — where the fitness effect of a mutation depends on the genetic background and can reverse sign depending on other alleles present — creates strong path-dependence by locking populations into particular evolutionary pathways. Populations following different initial mutations become locked into separate adaptive peaks, unable to cross fitness valleys despite identical selection pressures.

The fitness landscape in the vicinity of any genome depends on that genome's evolutionary history: two populations starting from the same ancestor but experiencing different early mutations will inhabit different local landscapes with different fitness optima. Adaptive landscape ruggedness increases the path-dependence and contingency of evolutionary outcomes: when fitness landscapes have multiple peaks and valleys, evolution's trajectory becomes highly sensitive to starting conditions and early mutations.

Experimental Evidence and the LTEE

Lenski's Long-Term Evolution Experiment (LTEE) — maintaining 12 replicate E. coli populations under identical conditions for over 80,000 generations since 1988 — demonstrates both the reproducibility and limits of evolution. Most replicate populations show strikingly similar fitness trajectories, demonstrating that selection pressures produce repeatable evolutionary outcomes. However, the divergence in specific mutations and pathways between replicates illustrates that evolution also contains contingent elements shaped by random mutational events and population history, even under controlled conditions.

The emergence of citrate utilization in one LTEE lineage is a striking case of contingent innovation: the innovation required a specific sequence of mutations and a prolonged waiting time, illustrating that even when the necessary mutations are available, historical contingency determines whether evolutionary novelty actually becomes fixed in the population.

The Contingency-Convergence Debate

The contingency-convergence debate contrasts two opposing views. Gould argued for radical contingency — replaying the tape would produce wildly different outcomes. Simon Conway Morris argues that documented patterns of convergent evolution demonstrate that selection pressures constrain evolutionary outcomes so strongly that life would re-evolve recognizably similar solutions. The repeated independent evolution of camera eyes, wing structures, and echolocation across different lineages suggests that while exact species composition may vary, the repertoire of viable forms is limited — indicating constraint-based rather than purely historical determinism at higher taxonomic scales.

Evolution is also fundamentally unpredictable and irreversible: unpredictability arises because specific mutations, their order, and their interaction with existing genetic backgrounds cannot be predicted; irreversibility follows because once a path is taken, the trajectory through genetic space is constrained and populations cannot easily return to previous genetic states.

Priority Effects in Ecology

Ecological communities exhibit path dependence through priority effects — outcomes where the effect of species on one another depends on the order of species arrival. The species that arrives first can modify the environment or competitive landscape such that later-arriving species experience different fitness consequences than they would in a different arrival order. Because species arrival order is typically stochastic, the final composition and functioning of ecological communities becomes essentially unpredictable without knowledge of arrival history.

The strength of priority effects varies predictably with niche properties: species with higher resource use overlap, greater environmental impact, and greater sensitivity to environmental change experience stronger priority effects, creating a framework for understanding when assembly order matters most.

Ecological communities can also reach alternative stable states — multiple different equilibrium compositions under identical environmental conditions: the particular stable state achieved depends on immigration history and arrival order. Alternative stable states demonstrate that contingency can persist in equilibrium, with historical events creating lock-in to particular community configurations.


A Concrete Case: Carbon Lock-In

The fossil fuel energy system offers a contemporary example where path dependence operates at multiple reinforcing levels. Carbon lock-in is driven by increasing returns to scale in fossil fuel systems: network effects in fuel distribution infrastructure and learning effects (cost reductions from cumulative experience) make the system increasingly difficult to abandon.

Supply-side fossil fuel infrastructure — pipelines, refineries, extraction facilities — creates carbon lock-in independent of demand-side choices. These capital-intensive facilities embed decades of fossil fuel dependency through sunk costs and institutional commitments, creating political economy incentives to maintain high utilization rates.

Carbon lock-in operates through three distinct but interrelated mechanisms: (a) infrastructural and technological lock-in from long-lived capital stocks; (b) institutional lock-in embedded in regulatory frameworks and policy inertia; and (c) behavioral lock-in rooted in consumer habits, entrenched expectations, and social norms — each operating on different timescales and responding differently to policy interventions.

Importantly, path-dependence lock-in mechanisms are not unique to fossil fuel systems: renewable energy infrastructure creates its own lock-ins — technological path-dependence favoring particular renewable technologies, institutional lock-in in regulatory frameworks, and behavioral lock-in in consumer expectations around grid-scale deployment.

Carbon Lock-in May Be Breaking

Recent empirical evidence (2018–2026) shows rapid renewable energy deployment: renewables now provide 33.8% of global electricity compared to coal's 33.0% — coal falling below one-third of global generation for the first time (Ember, 2026). This contradicts the stronger deterministic version of carbon lock-in theory, suggesting that sufficiently large policy shocks can overcome path dependence.


Controversies and Debates

Does Lock-in Imply Inefficiency?

The central empirical dispute in path-dependence theory is whether observed lock-ins constitute genuine welfare losses. The Liebowitz-Margolis position is that Arthur's theoretical equilibria do not necessarily translate to real economic outcomes because they abstract away from purposeful optimization under real costs and information constraints. In their taxonomy, first- and second-degree path dependence do not challenge market efficiency; only third-degree — for which they claim no demonstrated empirical cases — would constitute welfare loss.

Contingency vs. Determinism

A recurring tension in path-dependence theory is the balance between contingency (early events are random and could have gone differently) and determinism (once on a path, outcomes are highly predictable). The timing and sequence of events are causally consequential for institutional outcomes: the same events occurring at different points in the temporal sequence would produce divergent outcomes. Yet Mahoney's frameworks show how contingent early events generate deterministic patterns through different causal mechanisms.

In evolutionary biology, Gould's position that contingency dominates over selection in determining macroevolutionary trajectory is contested by evidence for convergent evolution suggesting that constraint-based factors produce predictable outcomes at higher taxonomic scales — even as the specific organisms and pathways remain contingent.

Is Institutional Persistence Automatic?

A third debate concerns whether path-dependent lock-in is automatic (a structural property of institutions) or whether it requires ongoing active political renegotiation by strategic actors who seek to maintain or adapt institutions according to their interests. The latter view challenges simplified path-dependence models that treat institutions as frozen residue locked in place by self-reinforcement alone.


Key Figures

W. Brian Arthur — Developed the formal economic theory of increasing returns and path dependence, demonstrating through Pólya urn models that small early advantages in competing technologies cascade into dominant market positions through positive feedback.

Paul David — Established QWERTY as the canonical exemplar of technological lock-in through historical accident plus network effects (1985), providing the case study that launched a generation of research.

Stan Liebowitz and Stephen Margolis — Challenged the QWERTY exemplar and formalized the three-degree taxonomy, arguing that the welfare-relevant form of path dependence (third-degree) lacks empirical demonstration.

Paul Pierson — Extended path dependence to political science, arguing in his 2000 American Political Science Review article that politics is more susceptible to path dependence than markets due to higher fixed costs, denser network effects, and shorter effective time horizons.

James Mahoney — Provided the most systematic typological framework, distinguishing self-reinforcing and reactive sequences and identifying four mechanisms of institutional reproduction.

Thomas P. Hughes — Developed the concept of sociotechnical momentum in Networks of Power (1983), showing how large technological systems acquire inertia through the tight coupling of material and social elements.

Wiebe Bijker — Introduced obduracy as the concept explaining how technologies stabilize through heterogeneous engineering, without invoking technological determinism.

Kathleen Thelen — Developed the framework of gradual institutional change through layering, conversion, and drift, extending path dependence to account for incremental transformation.

Stephen Jay Gould — Contributed the tape of life metaphor, making evolutionary contingency vivid and establishing a parallel framework to economic path dependence in biology.

Further Exploration

Foundational Works

  • Clio and the Economics of QWERTY — David (1985) — canonical lock-in exemplar
  • Increasing Returns and Path Dependence in the Economy — Arthur (1994) — formal economic theory
  • Competing Technologies, Increasing Returns, and Lock-In by Historical Events — Arthur (1989) — key formal models

Critique and Taxonomy

  • Path Dependence, Lock-In, and History — Liebowitz & Margolis — three-degree taxonomy
  • Path Dependence — EH.net Encyclopedia — comprehensive overview

Political Institutions

  • Increasing Returns, Path Dependence, and the Study of Politics — Pierson (2000)
  • Path Dependence in Historical Sociology — Mahoney (2000)
  • The Study of Critical Junctures: Theory, Narrative, and Counterfactuals in Historical Institutionalism — Capoccia & Kelemen (2007)

Technology and Infrastructure

  • Networks of Power: Electrification in Western Society, 1880–1930 — Hughes (1983) — sociotechnical momentum
  • A Theory of Gradual Institutional Change — Mahoney & Thelen (2010)
  • Understanding Carbon Lock-In — Unruh (2000)

Evolutionary Biology and Contingency

  • Tape of Life — Gould — contingency and replay
  • Long-Term Evolution Experiment (LTEE) — Lenski — experimental evolution
  • Convergent Evolution — Conway Morris — constraint-based outcomes

Quick reference

Field Economics, Political Science, Evolutionary Biology, Science & Technology Studies
Key theorists W. Brian Arthur, Paul David, Paul Pierson, James Mahoney, Thomas P. Hughes
Core claim Small contingent events early in a process are amplified by self-reinforcing mechanisms, locking systems into trajectories that persist long after their initiating conditions
Canonical example QWERTY keyboard layout (David, 1985)
Formal model Generalized Pólya urn (Arthur)
Related concepts Lock-in, critical junctures, increasing returns, sociotechnical momentum
Contested by Liebowitz & Margolis three-degree taxonomy (source)

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