| paper | d4-journals-geb-2013-0056 |
| authors | — |
| venue | ? |
| filed under | unclassified |
| judged by | gpt-6-luna / xhigh (triple__luna__xhigh__c6r1) |
| judge confidence | medium |
| authors would recognise it | no |
Theorem 1 explicitly characterizes an equilibrium, but the paper does not frame finding one as a computational task or make an algorithmic or complexity claim. A mass-market version is a plausible economic extension; turning it into an equilibrium-computation problem would add a task, and the nonatomic setting would change the strategic solution concept.
fails bit a — no named computational result to mirror
No computational result is covered. Theorem 1 characterizes a very informative equilibrium; Theorems 2–3 and Proposition 4 concern equilibrium or welfare outcomes.
This paper contains no named computational complexity result to anchor a mirror on. Theorem 1 concerns uniqueness of the no-signaling equilibrium for sufficiently small \(\varepsilon\); Theorem 2 compares expected matches and welfare; Theorem 3 gives a condition for strictly fewer matches in the very informative equilibrium; and Proposition 4 establishes a sequential equilibrium for the public-signals example. None makes a claim about computational complexity or an algorithm for an underlying problem.
The economics job market described in the paper could motivate a continuous-population model, but without a qualifying computational anchor, I can’t state a continuous problem that meets your requested criteria.
The proponent raised no continuous computational anchor, so there is none to defeat. The strongest case against a mirror is that this paper has no computational result to mirror: Theorems 1–3 and Proposition 4 characterize equilibria and expected welfare. They do not ask for an algorithm or make a complexity claim about a computational problem.
The best reconstruction would give workers and firms complete preference types, scale their populations and capacities, and ask how signaling affects the match rate in a mass market. That could be a sensible high-multiplicity model; the paper’s focus on individual workers does not rule out a cohort scenario. But its natural question is still an equilibrium and welfare question. Turning it into “compute an equilibrium” would add an algorithmic task the paper does not formulate. That task also needs an equilibrium-selection rule: the paper emphasizes multiplicity, while its uniqueness result applies only to the restricted class of very informative equilibria. Optimizing over equilibria would add a planner’s objective the paper does not study; replacing the game with maximum matching would discard the strategic signaling mechanism at its center.
So the negative case is strong for this paper as an anchor for ChoCo’s computational programme: a continuous version may be sensible economics, but the paper itself supplies no computational question whose complexity landscape can be charted. The broader claim that no worthwhile continuous computational question could ever be built from this market is weaker; that would be a new project, not a mirror of the paper’s results.
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.