Plate x in print

The Cascade

preference falsification and the tipping of norms; how a rule obeyed for generations, but privately rejected, can collapse almost overnight.

A silence can be shared for years before anyone discovers how little assent it contains.

— the argument of this plate, after Kuran and Granovetter

A rule may have lost its believers long before it loses its followers. The earlier Collected plate on the trap described a community in which each person privately doubts what each publicly supports, helping to manufacture the appearance that keeps the others obedient. The arrangement looks solid because its weakness is hidden by the very conduct it induces. A refusal then occurs, another follows, and what seemed an immovable rule becomes a practice people are suddenly eager to remember having disliked. The speed is the puzzle. The private doubts may have accumulated for years; why should public conduct move in days? One answer is that each person's willingness to depart depends on how many others have departed. The change passes from person to person, altering the conditions under which the next must choose. A cascade needs no sudden conversion of every mind. It can begin when an old conviction becomes newly bearable to express.

Preference falsification makes public agreement an unreliable measure of private assent. In Timur Kuran's account, a person's expressed position reflects both the rewards attached to being seen to hold it and the cost of compromising a privately held preference. A person may favor change and still publicly defend the established order when opposition is isolated and costly. Others see the declaration, not the compromise behind it. The error can feed itself: each false profession becomes part of the evidence that makes the next profession prudent. But concealment and misperception are different things. People may know perfectly well that their neighbors dislike the rule and still expect them to punish its breach, or fear an authority whose support is narrow but effective. Revealing private discontent then changes less than revealing a willingness to act on it. The distance between disliking a practice, saying so, and undertaking the risks of departure is precisely where the unwritten rule can continue to live.1

1. Timur Kuran, “Sparks and Prairie Fires: A Theory of Unanticipated Political Revolution”, Public Choice 61 (1989), §§3.1–3.5, pp. 45–51. Public preference trades reputational utility against integrity; private preferences are held fixed in this part of the model. Preference falsification concerns expression, while a mistaken inference about others' beliefs is an additional possible consequence.

The distribution of willingness to move matters more than a headcount of those who dislike standing still. Imagine six shopkeepers publicly pledging to leave an expensive annual ceremony. This is a constructed example: everyone can observe every pledge, pledges remain in force, and a person's threshold is the number of other pledges needed before adding his own. Let the thresholds be zero, one, two, three, four, and five. The first pledge brings the second, those two bring the third, and all six eventually join. Now raise only the second person's threshold from one to two. The first still moves, but nobody follows; the two people who each require two other pledges cannot supply them to one another. Five silent shops do not establish five satisfied proprietors. Their silence can coexist with almost the same dispositions that would have produced universal departure. The difference lies in a missing step in the sequence, not in a whole community's change of heart.2

2. Mark Granovetter, “Threshold Models of Collective Behavior”, American Journal of Sociology 83 (1978), pp. 1422–1426, develops binary-choice thresholds and the consequences of a gap in their distribution. His illustrative crowd has 100 members. These six shopkeepers are a new, smaller example: [0, 1, 2, 3, 4, 5] reaches six; [0, 2, 2, 3, 4, 5] stops at one.
⁂

The first refusal starts a cascade only through the refusals it makes possible. A threshold is not a permanent measure of courage, and a crowd is not an undifferentiated pile of persons. Someone may follow a respected colleague while ignoring a hundred strangers; a departure in one district may be invisible in another; a pledge that can be withdrawn may provide less assurance than an accomplished act. Granovetter explicitly brings relationships, unequal influence, misperception, and changes in the situation into the analysis. These features can interrupt the neat succession just described. They can also connect groups that had each mistaken their own isolation for the limits of dissent. To call the result a cascade is to make a claim about dependence: later decisions were changed by earlier ones. Six people responding separately to the same new expense would also move together, but their simultaneous departure would not by itself establish this mechanism. The visible rush is evidence to explain, not an explanation already supplied.3

3. Granovetter (1978), pp. 1428–1433 and 1435–1441: social structure, spatial dispersion, situation-specific thresholds, common external influences, misperception, and difficulties of measurement. The six-person calculation assumes complete observation and durable participation. Its result is not asserted for arbitrary networks or reversible choices.

A reservoir of private discontent is therefore a condition to investigate, not a clock counting down to collapse. Kuran separates changes in private preferences from changes in the incentives to express them and from changes in expected public support. A community can become more dissatisfied while the old public alignment remains an equilibrium. Even a dramatic announcement need not start a self-sustaining movement if the next people still find departure too costly. Conversely, the weakening of a sanction can matter without anyone discovering a previously unknown opinion: an enforcer ceases to punish, a group supplies protection, or enough credible participants commit at once. Such changes alter the consequences of being early. The old rule may then lose the sequence of small acts that renewed it every day. Its long survival does not show that those acts were unconditional; its abrupt disappearance does not show that the conditions changed abruptly or only in people's minds.4

4. Kuran (1989), §§4.1–5, pp. 51–60, distinguishes the distribution of private preferences, the threshold function, and expectations. In his examples, expectation shifts cannot cause a revolution when the requisite alternative is unavailable, and greater private discontent can leave the status quo intact. The institutional illustrations here apply that distinction without claiming to predict a particular historical collapse.

The new unanimity can conceal a new round of falsification. A person who declared allegiance to the old rule for safety may now declare allegiance to its replacement for the same reason. Some will have changed their convictions; some will finally speak them; some will merely have changed the side on which concealment pays. Kuran's analysis follows this possibility beyond the initial overthrow and warns that later accounts can make a contingent collapse appear inevitable. The lesson applies even where no state falls. After the ceremony disappears, the surviving record of public pledges cannot tell us exactly who wanted it ended, how strongly, or since when. Nor does a complete cascade establish that its destination is better for those carried along. An account of how a rule loses its hold must remain distinct from a judgment on what replaces it. Otherwise the old mistake—taking conformity as consent—will simply be repeated under the new colors.5

5. Kuran (1989), §§8–9, pp. 66–71, examines post-revolutionary conformity, retrospective misrepresentation, and the appearance of inevitability. Granovetter (1978), p. 1435, expressly distinguishes behavioral thresholds from approval and from welfare rankings of whole outcomes.

The cascade joins the norm's durability and its fragility in a single account. While each departure is isolated, the rule can look stronger than the private support beneath it; when departures make one another safer or more attractive, the same dependence can carry change through the community. This is a possibility with identifiable conditions, not a promise that truth will always conquer a custom once spoken. What matters is who hears it, whom they expect to follow, and what happens to those who move before the rest. The earlier trap's hope survives in this more exact form: collective action can reopen an arrangement that private dissatisfaction alone leaves closed. But the opening must still become a practice worth keeping. The next plate turns from what we dare to declare to what we purchase in order to be seen, where the watching eye enters the object itself. After the cascade comes the conspicuous.