Learning in Continuous Games from Pairwise Preference Feedback 31MQPCA8SH

URI	`m2://res/31MQPCA8SH`
Kind	preprint
Creators	Anas Barakat
Date	2026-10-04
Subjects	arxiv cs.GT, arxiv cs.LG, arxiv math.OC
Scope	border

Expressions

e1: version, preprint

Date	2026-10-04
Ids	arXiv 2610.05428

Items in this resource

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
Ordinal coarse equilibrium at rate $O(1/T)$	statement	corollary C.1	arxiv
Almost-sure last-iterate convergence to Nash equilibria	statement	theorem 5.2	arxiv
CCE is not ordinally invariant	statement	proposition 3.2	arxiv
Properties of the comparison field	statement	proposition 5.1	arxiv
Finite-time stationarity	statement	theorem E.3	arxiv
Finite-resolution regret does not control infinitesimal ordinal regret	statement	proposition E.1	arxiv
Ordinal coarse variational equilibrium	definition	definition 3.2	arxiv
$C^1$ specialization of Theorem 4.2	statement	theorem E.1	arxiv
Finite-time stationarity	statement	theorem E.4	arxiv
Almost-sure convergence to Nash equilibrium	statement	theorem E.2	arxiv
Directional regret from one comparison per round	statement	theorem 5.1	arxiv
External regret is not ordinally identifiable	statement	proposition 3.1	arxiv
Invariance of the dynamics	statement	proposition C.1	arxiv
Invariance of the preference-direction field	statement	lemma 3.1	arxiv
Ordinal directional regret	definition	definition 3.1	arxiv
First-order alignment of costs and the ordinal potential	statement	lemma C.1	arxiv
Constant continuous-time directional regret	statement	theorem C.1	arxiv
Convergence to coarse variational equilibria	statement	corollary 4.1	arxiv
Directional regret of discrete block-normalized learning	statement	theorem 4.1	arxiv
X26MH09TP7	definition	definition	arxiv
Finite-resolution potential alignment	statement	lemma E.7	arxiv
Ordinally robust CCE	statement	theorem 3.1	arxiv
ZMJEFET70J	statement	theorem C.2	arxiv
Ordinal Nash characterization	statement	proposition 3.3	arxiv
Single-comparison estimator	statement	lemma 5.1	arxiv

Catalogue records

arxiv: 2610.05428 (work)