← Back to list
Theorem

Theorem T1: Matching Theorem - Selection Logic

Under finitude and conditional subjectivity, rational strategy is need-product matching—not universal optimization.

Aliases: T1, Matching theorem, Need-product matching

Theorem statement

Theorem T1: Matching Theorem: Under finitude and conditional subjectivity, rational strategy is need-product matching—not universal optimization.


Premises


Derivation logic (sketch)

  1. Under A1, exhaustive optimization is infeasible.
  2. Under A2, universal “best–is ill-posed without stated weights.
  3. Therefore the rational target becomes need-product matching under explicit weights (fit scoring), not universal ranking.[^1]

Corollaries


Practical implications (what to do)


Falsifiable predictions

If matching is the right target, then for comparable decision classes:
- explicit weighting + fit scoring should reduce regret,
- the “best overall–product will vary across need profiles.[^1]


References

  1. Keeney, R. L., & Raiffa, H. (1993). Decisions with Multiple Objectives: Preferences and Value Tradeoffs. Cambridge University Press.[source]
  2. Simon, H. A. (1955). A behavioral model of rational choice. Quarterly Journal of Economics, 69(1), 99–18.[source]

Further Reading