| paper | d4-conf-sigecom-2004-0042 |
| authors | — |
| venue | ? |
| filed under | unclassified |
| judged by | gpt-6-luna / xhigh (triple__luna__xhigh__c6r1) |
| judge confidence | high |
| authors would recognise it | no |
The paper has no numbered theorem, lemma, corollary, or proposition asserting a computational result, so there is no eligible result to anchor a mirror. Its closed-form price derivations do not meet the stated anchor requirement, and no continuous-population question tied to a named result is offered.
fails bit a — no named computational result to mirror
No named computational result is mirrored; the paper's price-function derivations and market mechanism are left without a continuous-population complexity question.
This paper contains no named computational result to anchor a continuous mirror: it has no numbered Theorem, Lemma, Corollary, or Proposition asserting a complexity result or a computational formulation. It derives closed form price functions in equations (6), (7), (11), (12), (17), and (18), but those derivations are not named results of the required kind.
A tempting positive angle would treat trader types—defined by beliefs, budgets, and other relevant traits—as a distribution, then study aggregate demand against the DPM price function. But that would introduce a new population model and a new computational question; it would not mirror a named result in this paper. The paper’s continuity is in share quantities and price changes, while its traders are not modeled as a continuous society. So I can’t give a compliant anchor or a per-anchor prover question.
The proponent’s central concession is decisive for this paper: it offers no named computational result to mirror. Its price functions are closed-form derivations from aggregate money and share totals; it does not analyze the complexity of a computational problem. So there are no anchors to defeat, and no per-anchor prover questions to pose.
The strongest possible rescue is to model traders as a distribution over complete types—beliefs, budgets, risk preferences, holdings, and any other traits the problem uses—and ask about aggregate demand or market equilibrium. Large betting markets could make that population regime sensible. But it would not mirror a result here: the paper does not formulate a trader-type population problem or establish a computational claim about it. Asking for equilibrium or aggregate behavior under heterogeneous types would require defining a new model and a new question. Asking only for prices from the paper’s aggregate state leaves its existing closed-form formulas in place, without opening a complexity question.
So the negative case is strong about *this paper as a mirror*: a continuous society would have to be added to create the object of study, rather than continuizing an object or result the paper already studies. The honest limit is that the paper could inspire valuable follow-up work on markets with a continuum of trader types. That possibility does not make such work a continuous mirror of this paper.
The adversarial triple: the proponent anchors on up to three named results; the opponent sees that case and must defeat every anchor; the judge decides which case convinced it. These are the pipeline’s own outputs, generated by tools/triple_run.py — no human edited them. The paper’s own text is not reproduced here beyond the quoted statement above.