d4-journals-geb-2004-0005

· ? (d4-journals-geb-2004-0005)

no mirror
paperd4-journals-geb-2004-0005
authors—
venue?
filed underunclassified
judged bygpt-6-luna / xhigh (triple__luna__xhigh__c6r1)
judge confidencehigh
authors would recognise itunclear

Why no mirror

The proponent concedes that the paper supplies no named computational result and that a computation problem for stable sets would be a new project, not a mirror of a result here. The publisher’s description likewise identifies the contribution as results on stable sets and forward induction, not a computational claim ([article page](https://www.sciencedirect.com/science/article/pii/S0899825603001489)).

fails bit a — no named computational result to mirror

What the mirror covers

No computational result is covered; the paper’s forward-induction and stable-set analysis remains unmirrored.

The case FOR (proponent)

I can’t give an anchor-based affirmative case: the paper has no numbered result asserting a computational complexity classification or algorithmic bound. Its contribution concerns forward induction and stable sets in a citizen-candidate model; the abstract describes results on stable sets, not computational results. [The publisher’s article page](https://www.sciencedirect.com/science/article/pii/S0899825603001489) confirms that focus. So there is no qualifying anchor, and no continuous problem per anchor to state. Treating an equilibrium or stable-set theorem as a computational result would overstate the paper.

There is a plausible starting point for a *new* question: represent a large electorate by a distribution over complete citizen types, such as preference and candidacy-cost types, and ask how the forward-induction stable-set analysis changes with the type masses. Many citizens sharing relatively few types is a natural regime. But this is not yet a defined computational problem or a mirror of a named result. In an atomless electorate, an individual vote or candidacy decision may have no effect on the outcome; defining the stable-set concept for the resulting game would itself require substantial modelling choices.

The strongest honest positive case is therefore only a research direction. Its weakest point is decisive for this assignment: the paper gives no computational anchor from which to formulate the requested continuous problem or predict its complexity class.

The case AGAINST (opponent, writing after the proponent)

The affirmative case identifies the decisive gap: it offers no named computational result to mirror. The paper studies a multistage citizen-candidate game in which citizens decide whether to run and then vote; its stated contribution concerns forward induction and Mertens stable sets. It gives no algorithm, complexity classification, or computational problem. A generic question about computing stable sets could be attached to many equilibrium papers, but that would be a new computational project, not a mirror of a result here. [Publisher’s description](https://www.sciencedirect.com/science/article/pii/S0899825603001489)

The strongest version of the proposed direction would give voter types masses \(\mu\), retain a finite set of possible candidates, and ask how the stable-set analysis varies with those masses. That is a coherent hybrid model, and a high-multiplicity electorate may be sensible. But the paper’s forward-induction question turns on an individual citizen’s discrete decision to enter. In an atomless society, a citizen has zero voting mass; preserving their discrete candidacy decision requires keeping candidate citizens as separate players. Alternatively, letting a type’s mass enter changes the deviation being assessed from an individual’s entry to mass-level entry. Either formulation may motivate new work, but neither supplies a computational anchor from this paper.

The negative case is strong against calling this paper a ChoCo mirror. It is weaker as the universal claim that no worthwhile continuous computational project could grow from it: the hybrid model could be interesting to game theorists. The paper itself gives no reason to treat that added computation as part of its contribution.

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.