Pith. sign in

REVIEW

A Mean Field Game of Sequential Testing

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2403.18297 v1 pith:6IERKMHG submitted 2024-03-27 math.OC math.PR

classification math.OCmath.PR
keywords fieldgamemeanfilteringsequentialtestingassumptionsbest
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We introduce a mean field game for a family of filtering problems related to the classic sequential testing of the drift of a Brownian motion. To the best of our knowledge this work presents the first treatment of mean field filtering games with stopping and an unobserved common noise in the literature. We show that the game is well-posed, characterize the solution, and establish the existence of an equilibrium under certain assumptions. We also perform numerical studies for several examples of interest.

Discussion (0). Continue with ORCID to comment.

Pith tools