mathfin-literature-positioning

Literature Positioning (mathfin-literature-positioning)

When to trigger

• The introduction reads as a survey rather than a precise contribution claim
• Unsure which prior theorem your result generalizes, sharpens, or contradicts
• A referee might say "this is already known under weaker/stronger assumptions"

The Mathematical Finance positioning bar

Because the journal prizes methodological novelty and contribution to financial modelling, positioning must be theorem-level, not topic-level. The reader (often a Bachelier Finance Society member steeped in stochastic analysis) wants to know exactly which assumptions you relax, which generality you add, or which open problem you close — and why earlier machinery was unable to. A vague "the literature has studied X" invites a desk concern about novelty.

How to position

1. Name the closest prior result and its assumptions precisely (model class, regularity, filtration, market completeness). State what it cannot deliver.
2. Locate your delta on one axis: weaker assumptions, broader model class, sharper rate, constructive vs. existence-only, time-consistent vs. not, or a genuinely new object.
3. Cite landmark machinery, not laundry lists — the foundational tools you build on (e.g., semimartingale theory, FTAP/NFLVR, BSDE theory, convex duality, stochastic control) should be cited where they do work, not as decoration.
4. Pre-empt the "special case" objection: show your result is not a corollary of an existing theorem under a change of variables.
5. Flag what you do NOT claim — keeping scope honest is part of the rigor culture.

Frontier strands and what positioning owes each

• Robust finance / model uncertainty: say whether your setting is dominated or non-dominated, pathwise or quasi-sure — claims blur across these regimes and referees check.
• Rough volatility: state the Hurst regime and whether the result concerns the model's probabilistic structure, its approximation theory, or its pricing asymptotics.
• Mean-field games / large populations: distinguish existence for the limiting MFG from convergence of the N-player equilibrium — different theorems with different ancestors.
• Transaction costs / frictions: identify whether the comparison literature is shadow-price, duality, or viscosity/PDE based; your delta reads differently against each.
• Term structure / HJM: position against the consistency and finite-dimensional-realization results, naming the state space your forward-curve dynamics live on.
• Risk measures / time consistency: specify static vs. dynamic, convex vs. coherent, and which representation theorem you extend.

Delta sentence scaffold

The closest result is [Author, Year, Thm n], which proves [conclusion] under [hypotheses].
Our Theorem [m] removes [hypothesis] / extends the model class from [class A] to [class B] /
upgrades existence to a constructive characterization. The key obstacle is [technical issue];
[Author]'s argument relies on [tool], which fails here because [reason]. We instead [new idea].

One scaffold per main theorem suffices; referees at this venue prefer a single precise comparison to a paragraph of adjacent citations.

Sibling-venue triangulation

Positioning also signals fit. If every paper you compare against lives in a probability journal with no financial object in its theorem statements, the manuscript reads as misdirected pure mathematics; if the comparisons are all empirically oriented, the rigor-bar question arises. Healthy Mathematical Finance positioning braids the journal's own literature with Finance and Stochastics and stochastic-analysis sources, keeping the financial-modelling payoff visible in the same paragraph as the mathematical delta.

Anti-patterns

• A standalone literature-review section detached from the contribution claim.
• Citing a result without its hypotheses, so the reader cannot judge your delta.
• Over-claiming generality the proof does not actually deliver.
• Ignoring a known counterexample or a sharper existing bound.
• Treating "no one has done exactly this" as novelty when the technique is routine.

Output format

【Closest prior result】author/year + its assumptions + its limit
【Your delta】weaker-assumptions / broader-class / sharper / constructive / new-object
【Machinery you build on】[foundational tools, cited where they work]
【Special-case defense】why your result is not a corollary of prior work
【Scope honesty】what you explicitly do NOT claim
【Next step】mathfin-identification-strategy