Pith. sign in

REVIEW

Bounds for the Nakamura number

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 1711.06611 v3 pith:7Z6BKV2M submitted 2017-11-17 math.CO

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

The Nakamura number is an appropriate invariant of a simple game to study the existence of social equilibria and the possibility of cycles. For symmetric quota games its number can be obtained by an easy formula. For some subclasses of simple games the corresponding Nakamura number has also been characterized. However, in general, not much is known about lower and upper bounds depending of invariants on simple, complete or weighted games. Here, we survey such results and highlight connections with other game theoretic concepts.

Discussion (0). Continue with ORCID to comment.

Pith tools