Game Theory

Game Theory, as Lacan deploys it in Seminar 12, is not invoked as a mathematical discipline in its own right but as a formal structural analogy for the triadic economy of Subject, Knowledge (unconscious), and Sex. Lacan's reference to Von Neumann's foundational text signals his recognition that game theory formalizes the logic of strategic interdependence — the calculation of moves under conditions of uncertainty about the other's next position — and this formalism maps onto the "rotating dominance" structure he is articulating: just as scissors-stone-paper yields no stable hierarchy but only a circular asymmetry, so the three poles of Subject, unconscious Knowledge, and Sex each dominate and are dominated in turn, with no pole achieving final mastery. The crucial operator is the Real: Sex, as the impossible-to-know term, functions as the pole that any actual game must convert into a manageable stake precisely because it cannot be directly confronted. Game theory, on this reading, is the formal discipline that emerges when the Real is excluded as the condition of play — the game becomes possible only by treating the impossible as a bounded risk.

Within the analytic situation specifically, Lacan frames the clinical encounter as a game in this technical sense: a formal structure that reduces the triadic dialectic of Subject/Knowledge/Sex to a dyadic tension of subject-waiting-for-knowledge, with sex/the Real relegated to the status of stake rather than move. The game's "rule" is therefore structurally homologous to the analytic rule (free association, abstinence) — both function by bracketing the Real, converting it from an absolute impossibility into a regulated absence around which symbolic exchange can proceed. Game theory thus names, for Lacan, the rationalist formalization of what analysis already performs clinically: the domestication of the impossible into the impossible-as-stake.

In jacques-lacan-seminar-12 and jacques-lacan-seminar-12-1 (both p. 252 — the two occurrences likely reflect different transcription traditions of the same seminar), Game Theory appears as a parenthetical but structurally significant reference within Lacan's articulation of the Subject/Knowledge/Sex triad. Its relation to the cross-referenced canonical concepts is precise: it is an extension of the concept of the Real (the impossible pole that the game brackets as its stake), a specification of Knowledge (the unconscious is a knowledge whose subject is indeterminate — exactly the condition that makes a "game" necessary), and an application of Dialectics (the triadic rotating dominance is dialectical in structure, but game theory formalizes it as a finite, rule-governed system rather than an open Hegelian sublation). The concept of Splitting of the Subject is also implicated: the subject enters the game only as divided, waiting for a knowledge that the game's structure perpetually defers, which aligns with the logic of Repetition — the game re-stages the missed encounter with the Real without ever resolving it. Desire, too, is at stake: the analytic game sustains desire by keeping its impossible object (Sex/the Real) as the stake, never the prize, preserving the structural unfulfillability that is desire's condition of possibility. Game Theory thus sits at the intersection of formalization and clinical practice in Seminar 12, serving as Lacan's pointer toward a rationalist idiom (Von Neumann's mathematics) that unwittingly captures what psychoanalysis already knows: the Real cannot be played with, only played around.

Seminar XII · Crucial Problems for Psychoanalysis (alt. translation)Jacques Lacan · 1964 (p.252)

even as far as what has been called, in a confusing fashion, games' theory. I mean the one that appears to date from the book by Mr Von Neuman and his collaborator.

The phrase "in a confusing fashion" is theoretically loaded: it signals that Lacan is not simply borrowing game theory but marking a misrecognition in its very name — the discipline has been called "games' theory" as though it were about games in the ordinary sense, whereas for Lacan its real import is structural formalization of strategic indeterminacy under conditions where the Real (the impossible) has been converted into a stake. The attribution to "Von Neuman and his collaborator" (Von Neumann and Morgenstern) anchors the reference in the mathematical-economic tradition of strategic rationality, which Lacan then repurposes as an unwitting formal model of the analytic situation's own exclusion of the Real.