| paper | d4-journals-jet-2013-0082 |
| authors | — |
| venue | ? |
| filed under | unclassified |
| judged by | gpt-6-luna / xhigh (triple__luna__xhigh__c6r1) |
| judge confidence | high |
| authors would recognise it | no |
Neither named result asserts an algorithm, running-time bound, hardness result, or computational formulation: Theorem 1 characterizes implementability and Revenue Equivalence, while Proposition 3 characterizes budget-balanced implementation. The proposed continuum market would be a new computational project rather than a population mirror of a computational result in this paper.
fails bit a — no named computational result to mirror
The cited results characterize implementability, transfer bounds, Revenue Equivalence, and budget-balanced implementation; the paper also gives results on individual rationality and welfare maximization, but none asserts a computational guarantee.
I can’t make a qualifying positive case under your anchor rule. The paper contains no numbered result asserting a computational complexity classification such as polynomial time, NP-hardness, or fixed-parameter tractability.
The closest result is Theorem 1, proved in the paper: an allocation rule is implementable exactly when its extremal transfer intervals are nonempty, and it satisfies Revenue Equivalence exactly when those intervals are singletons. That is an economic characterization, not a complexity result. Proposition 3 similarly characterizes budget-balanced implementation through an extremal-transfer surplus condition; it does not establish the complexity of deciding or finding such an implementation.
One could formulate a new model with a continuum of agents distributed across valuation types and type-level allocations and transfers. But the paper’s central results concern variation across an agent’s possible types (and, in its extension, interim transfers for finitely many agents). A continuum of agents would change the model, and there is no qualifying computational anchor here to mirror.
The proponent leaves no anchor standing: there is no numbered computational result to mirror. Theorem 1 characterizes implementability and revenue equivalence; it gives exact conditions, not a complexity classification. Proposition 3 characterizes budget-balanced implementation through an ex ante surplus condition, again without studying an algorithm or its running time.
Theorem 1 is especially resistant to a population reading. Its \(V\) is one agent’s space of possible reports, and the extremal-transfer bounds are built from valuation comparisons along paths in that space. A distribution \(\mu\) over agents’ types does not enter those bounds. Taking \(V\) itself to be continuous would continuize the individual type space or uncertainty, not the population.
The strongest rescue is a symmetric market with many buyers and sellers: represent valuation types by masses and ask whether an anonymous allocation rule admits incentive-compatible, individually rational, budget-balanced transfers. That is a plausible computational research question. But it adds a continuum market and its allocation and budget rules to Proposition 3’s finite-agent model; the paper does not take a population limit or make population masses its computational input. It is a follow-on model, not a continuous mirror of a computational result in this paper.
The negative case is strongest on that boundary: this paper offers no computational landscape for ChoCo to continuize. I cannot rule out a worthwhile population mechanism-design project inspired by it; the honest weakness is that “no worthwhile mirror in any scenario” is broader than the evidence can prove. But the proposed projects would be new computational questions, rather than mirrors 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.