Does ICLE's 'competition for the market' (node-by-node semiconductor races) map formally onto Van Valen's constant-extinction-probability, or only metaphorically?

This capture directly targets the vault's existing open question question-does-competition-for-the-market-map-onto-red-queen-extinction-probability, raised against claim-rocks-law-is-moores-laws-economic-inverse and claim-red-queen-hypothesis-names-running-to-stay-in-place. It reads the ICLE white paper itself (previously cited in the vault only for its Rock's-Law cost figures) end to end, specifically checking for any formal statistical or mathematical link to Van Valen's model, as opposed to a shared "running to stay in place" turn of phrase.

Core question status: leans toward "metaphorical only," bounded by this session's search

The primary source at the center of the vault's question — the ICLE white paper itself — was read in full (46 pages via PDF extraction, TLS verified). It never mentions Van Valen, extinction probability, hazard rates, or any biological formalism. Its own economic model for "competition for the market" traces instead to industrial-organization economics (Schumpeterian competition, dynamic capabilities). No source found in this session — including the broader Red Queen-in-organizations literature — reports a formal test (e.g., a survival/hazard-rate analysis of node-leadership turnover checked against an age-independent constant-hazard null, which is the actual operational signature of Van Valen's law) linking the two. This is evidence of absence within the sources reached, not proof that no such formal treatment exists anywhere in the literature; it should be read as "not found after a genuine search," per the operating spec's standing for inconclusive results.

Claim: ICLE's white paper invokes the Red Queen only as the Lewis Carroll literary image, not as Van Valen's biological formalism

The ICLE white paper "From Moore's Law to Market Rivalry" (Albrecht, Manne, Teece, Zúñiga; ICLE White Paper, November 12, 2025) uses "Red Queen" exactly once, explicitly sourced to the Lewis Carroll story rather than to evolutionary biology:

"The result is a set of customer and industry expectations that fuels an intense and relentless rivalry in which firms must constantly innovate simply to maintain their relative position, much like the Red Queen in Lewis Carroll's tale, who must run constantly just to stay in place."

A second, unlabeled echo of the same image appears later in the paper's discussion of technology races: "This dynamic, innovation-driven competition forces firms to 'run fast' just to stay in place, creating benefits for consumers in the form of rapid performance improvements." Neither passage names Van Valen, the Red Queen hypothesis as a scientific construct, "law of extinction," or any extinction-probability concept. A full-text pass of the 46-page PDF (all sections: executive summary, capital-risk analysis, specialization/foundry history, dynamic-capabilities section, and policy conclusion) turned up no additional biological or evolutionary-theory references beyond this single literary allusion. [Tier 1-2 — direct read of the primary PDF; the claim is that a specific document does/doesn't contain specific content, verified by reading the document itself.]

Claim: ICLE's actual formal framework for 'competition for the market' comes from industrial-organization economics, not evolutionary biology

Where the paper does ground "competition for the market" in a named academic model, it cites economists, not biologists. Discussing why static market-share snapshots mislead in semiconductor manufacturing, the authors quote:

"As Evans & Schmalensee put it, firms in such industries 'engage in dynamic, Schumpeterian competition for the market, through sequential winner-take-all races to produce drastic innovations, rather than through static price/output competition in the market.'"

The paper also frames the same dynamic through David Teece's own "dynamic capabilities" framework (sensing, seizing, transforming) and through Schumpeter's "perennial gale of creative destruction," and separately invokes "catch-up cycle" theory to describe latecomer firms leapfrogging incumbents at technology transitions. All of these are named, citable economic/ management-theory lineages distinct from Van Valen's evolutionary-biology model. [Tier 2 — this is ICLE's own direct quotation of Evans & Schmalensee's formal characterization, read in the primary PDF; the Evans & Schmalensee paper itself was not independently opened this session, so their original wording and any surrounding formal model is [unverified-mechanism — needs primary] beyond what ICLE quotes directly.]

Claim: no source located performs a formal (statistical/mathematical) test mapping node-race competition onto Van Valen's constant-hazard model

Van Valen's Law of Extinction is a specific quantitative claim: the probability that a taxon goes extinct in a given interval is independent of how long it has already existed (a constant, age-independent hazard rate; see claim-red-queen-hypothesis-names-running-to-stay-in-place for the vault's existing definitional note on this, not reproduced here to avoid duplication). Testing whether semiconductor "competition for the market" maps formally onto this would require showing, for example, that a foundry's or process-node leader's risk of losing its position is independent of how long it has held that position — as opposed to, say, rising with an accumulating technology gap. No such test was found. Searches for a formal economic model combining Moore's-Law/Rock's-Law dynamics with Red Queen or extinction-probability mathematics turned up nothing beyond the ICLE paper's own literary aside (above); a search of the organizational Red Queen literature descending from William Barnett's work (claim-barnett-applied-red-queen-to-organizational-competition) surfaced Barnett's Illinois-bank failure-rate study and follow-on organizational- ecology papers on firm hazard rates, but nothing specific to semiconductor node races or to ICLE's framing. [This is an absence-of-evidence finding about the state of the literature searched this session, not a positive quantitative claim, so it does not carry a numeric source-tier the way the other claims do; it rests on the searches and reads documented above.]

Further leads

• Evans, David S., and Richard Schmalensee — original formulation of "dynamic, Schumpeterian competition for the market" (quoted secondhand via the ICLE PDF, p. 22); worth opening directly to see if their model has any formal hazard-rate structure of its own, independent of Van Valen.
• Barnett, William P., "The Red Queen in Organizational Evolution," Strategic Management Journal 17 (1996) — the closest existing formal (statistical) Red Queen application to firm competition (bank failure rates); worth checking whether its hazard-model methodology could, in principle, be applied to semiconductor node data. (via WebSearch snippet, not independently opened this session)
• "Catch-up cycle" theory (cited by ICLE for latecomer leapfrogging, e.g. Samsung, TSMC) — a distinct formal innovation-economics framework for node-by-node leadership turnover; not evaluated against Van Valen's model this session.
• Van Valen, Leigh (1973), "A New Evolutionary Law," Evolutionary Theory 1:1–30 — the primary source for the constant-extinction-probability claim itself was not reopened this session (see existing vault note); a direct read would let a future pass check the exact mathematical form (log-linear survivorship) against any candidate semiconductor dataset.
• Substrate (semiconductor lithography startup, X-ray-based tool, ICLE PDF pp. 22-23) — flagged in the ICLE paper as a potential structural disruptor to the equipment-supplier/foundry line; tangential to this question but a live "next node race" example worth tracking.

Entity candidates

• Leigh Van Valen — person — originator of the Law of Extinction / Red Queen hypothesis; the biology-side anchor of this entire cross-domain question
• David Teece — person — dynamic-capabilities theorist and ICLE paper co-author; his framework is the actual formal model ICLE uses, an alternative worth its own page distinct from Van Valen
• William Barnett — person — already flagged in an existing claim note; closest existing formal (statistical) Red-Queen-style organizational study
• Brian Albrecht — person — lead author of the ICLE white paper and the Truth on the Market restatement
• Geoffrey A. Manne — person — ICLE co-author, ICLE's executive director
• Evans & Schmalensee — concept/people — source of the "dynamic Schumpeterian competition for the market" formulation ICLE actually relies on
• International Center for Law & Economics (ICLE) — concept — think tank producing this paper; worth a page given repeated vault citations
• competition for the market (vs. competition in the market) — concept — the specific industrial-organization distinction at the center of ICLE's argument, worth its own definitional note
• catch-up cycle theory — concept — the leapfrogging/latecomer framework ICLE cites for node-by-node leadership turnover
• Schumpeterian creative destruction — concept — recurring theoretical frame in the ICLE paper, adjacent to but distinct from the Red Queen framing