Positional Object

Canonical definition

A Positional Object is any Object whose valuation in a Subject's Decision Hub carries a Mimetic Premium constituted by the Subject's standing relative to a Model under conditions of exclusivity, such that the Object's M-component exists if and only if (i) a Model exhibits directional valence toward the Object (the Minimum Installation Condition's gate clause) and (ii) the Object is scarce in the specific sense that holding, occupancy, or access by one party forecloses holding, occupancy, or access by the other. Positionality is therefore a property of the valuation relation under exclusivity, not a property of the Object's physical kind: the same physical Object is positional when the dyadic conditions obtain and non-positional when they do not. Where holding or occupancy is mutually exclusive, the dyad is already zero-sum (the Subject's holding or occupancy of the Object is identically the Model's exclusion from it) and denial of access by the Model is the limiting case in which the zero-sum relation is resolved in the Model's favour. No reference group, distribution, or third party is required: the relation is complete with one Model, one Subject, and one indivisible scarce Object. The population-scale "Positional Good" of economics is the aggregate replication of this dyadic relation across many Subjects who share Models; aggregation scales the relation and adds rivalry escalation, but does not create the zero-sum property, which is constituted at the dyad. This is the valuation-side counterpart of the Low-Pass Filter Analogy of Aggregation, under which aggregation reveals rather than generates the M-signal.