English

Optimal Strategies in Weighted Limit Games

Computer Science and Game Theory 2020-09-25 v1 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.2009.11638,
  title  = {Optimal Strategies in Weighted Limit Games},
  author = {Aniello Murano and Sasha Rubin and Martin Zimmermann},
  journal= {arXiv preprint arXiv:2009.11638},
  year   = {2020}
}

Comments

In Proceedings GandALF 2020, arXiv:2009.09360. Full version at arXiv:2008.11562

R2 v1 2026-06-23T18:45:57.300Z