English

Optimal Strategies in Weighted Limit Games (full version)

Computer Science and Game Theory 2020-09-08 v2 Formal Languages and Automata Theory

Abstract

We prove the existence and computability of optimal strategies in weighted limit games, zero-sum infinite-duration games with a B\"uchi-style winning condition requiring to produce infinitely many play prefixes that satisfy a given regular specification. Quality of plays is measured in the maximal weight of infixes between successive play prefixes that satisfy the specification.

Keywords

Cite

@article{arxiv.2008.11562,
  title  = {Optimal Strategies in Weighted Limit Games (full version)},
  author = {Aniello Murano and Sasha Rubin and Martin Zimmermann},
  journal= {arXiv preprint arXiv:2008.11562},
  year   = {2020}
}
R2 v1 2026-06-23T18:07:00.517Z