8. Games

Stefan Kober

How Formal Systems Reorganize Belief

Games form a different family of formal systems. Like the domains discussed earlier, they operate under explicit or implicit rules. But their relation to convictional force is less direct.

In the previous chapters, the formal systems were fostering and stabilizing conviction. Counting, measuring, proving, and calculating are all practices aiming at conviction. The verbs are success words, they entail achievement of what is to be counted, measured, proved, or calculated as default state. Games are different. They are played for their own sake. The formation of conviction is not their primary aim, but a byproduct of repeated interaction with a structured system.

Of course, games are not unique in this respect. Any conscious interaction with the world produces, updates, or removes convictions. But outside games it is often difficult to tell whether a conviction reflects a recurring structure or only the accidents of a particular situation. Too many factors change at once, consequences unfold slowly, and similar situations rarely return under comparable conditions.

Games make this distinction clearer. Their rules define a comparatively small world. Similar situations can recur, outcomes can be compared, and consequences often appear quickly. Because the structure is tighter and the variation narrower, repeated play makes it easier to distinguish what belongs to the game and its players from what merely happened once.

For this reason games as formal systems can be seen as a laboratory for conviction formation. They make visible how conviction forms, shifts, and stabilizes when action, repetition, and feedback are bound together.

In such settings, convictions do not usually form all at once. A single move may mislead. A single outcome may prove exceptional. But when similar situations repeatedly lead to similar developments, conviction begins to settle. This applies not only to patterns within the game, but also to one’s own responses to them and, more deeply, to the way conviction itself changes under repeated feedback.

Strategic Convictions

An opinion settles on one option in a situation and excludes all others. A strategy operates where conviction has not fully settled among the plausible options. It guides action under uncertainty by preserving possibilities, avoiding collapse, and waiting for further structure to emerge.

Games with a strategic character make this especially clear. In many positions, the player does not yet know what kind of situation is developing. Several continuations remain plausible. One move may be strong if the opponent is preparing one plan, but weak if another plan is coming. No further information is immediately available, yet a move must still be made.

In such a case, the strategic move is not the move that would be best under one fully settled view of the position. It is the move that remains viable across several live possibilities, or at least avoids serious damage across them. Strategy appears where conviction is distributed and action cannot wait. What is at issue here is not yet a higher-level view about when strategy is appropriate, but the formation of convictions within the game under unresolved alternatives.

At the beginning, players often react as if one interpretation of the position had already won all convictional force. They see one attractive line and act on it. Repeated play gradually undermines this habit. The player begins to notice that many positions do not yet justify such settlement. The right response is then not immediate commitment, but a move that keeps possibilities open until the situation becomes clearer.

This too is learned through repetition. A player repeatedly commits too early, and the position later collapses under a continuation they had not taken seriously. In another game, a more cautious move is chosen. It does not win immediately, but it survives under several possible developments. Over time, such experiences begin to stabilize a different kind of conviction: not conviction that one line is already correct, but conviction about when settlement is premature.

Strategic convictions do not arise simply from discovering good moves. They arise from repeated exposure to situations in which several options remain live and no immediate decision among them can yet be justified. What stabilizes is not a single favored continuation, but a way of acting under unresolved conviction.

It is not guaranteed, however, that these convictions will always stabilize well. Players can become convinced of overly cautious lines, of needlessly defensive habits, or of imagined dangers that do not in fact matter. And quite the opposite. Strategy too can harden into error. What games provide is not automatic convergence on the right strategy, but a setting in which such convictions can form, fail, and be revised under repeated feedback.

Convictions About Oneself

The same process also reveals something else. Through repeated play, players encounter how they themselves actually respond to situations.

This is not the same as what they say about themselves, or what they imagine beforehand. A player may think of themselves as cautious, only to discover that they repeatedly take risks when a tempting opportunity appears. Another may think of themselves as patient, only to find that they commit too early to an attractive plan or overlook threats when under pressure.

Such convictions about oneself do not arise from repeated situations alone, nor from reflection alone. Games provide the material for reflection: similar situations recur, responses become comparable, and their consequences can be observed. Reflection then works on this material and gradually stabilizes convictions about one’s own way of acting.

In this way games provide a setting in which self-knowledge can stabilize. A player becomes convinced not merely that a certain move tends to fail, but that they themselves tend to be drawn toward it. Convictions about the system and convictions about oneself begin to interact.

These convictions are still fallible. They often remain provisional, and sometimes they stabilize in misleading ways. But because the same kinds of situations can recur under comparable conditions, they can become much more stable than in many ordinary parts of life.

Meta-Convictions

Beyond patterns in the game and in the player, games also make visible how conviction itself forms and stabilizes.

Players encounter that single outcomes rarely settle conviction. A move that succeeds once may fail the next time. Initial impressions can be misleading. Repeated outcomes gradually carry more weight, and conviction often settles only after many similar experiences, and even then without guarantees.

They also encounter the role of feedback. When consequences are clear and immediate, conviction stabilizes more quickly. When feedback is delayed, ambiguous, or mixed, conviction remains uncertain or fluctuates, calling for strategy instead of opinion.

At the same time, humans eagerly form convictions about patterns. They often begin to see structure even where the evidence is still too thin, and sometimes even where no real pattern exists. Games make both tendencies visible: the gradual stabilization of conviction through repeated outcomes, and the temptation to let conviction settle too early.

Over time, players may also acquire implicit convictions about how to treat their own convictions. Repeated outcomes provide material for reflection, and reflection gradually works this into more stable ways of handling conviction. Players can learn to give less weight to isolated events, to look for recurring patterns, and to delay commitment until results become more stable.

These are meta-convictions: convictions not about a particular move or a particular trait, but about how conviction itself forms, changes, and becomes stable under repeated interaction with a structured environment. Such meta-convictions can also stabilize in misleading ways, but they open a rich field of observation.

It is probably no coincidence that games played an important role in the early development of probability theory. They provided clear situations in which repeated outcomes, apparent patterns, and the risk of premature conviction could all be observed side by side.

In this way games reveal something that is harder to isolate elsewhere. Conviction is not a single act, but a process shaped by repetition, feedback, and the structure of the situation in which one acts. Games form a particularly clear environment in which the formation and revision of conviction can be watched while it is happening.