Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

Date and Time: Tuesday, May 28, 2024, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Sebastian Haslebacher

Similarities between ARRIVAL and Simple Stochastic Games

The two problems ARRIVAL and Simple Stochastic Games (SSG) share the same complexity status: Both are known to lie in NP and coNP, but not known to belong to P. Besides this, it turns out that recent algorithms for both problems use similar ideas. Concretely, I will talk about similarities underlying the quasipolynomial-time algorithm for SSG on graphs of bounded treewidth (due to Chatterjee, Meggendorfer, Saona, Svoboda), and the subexponential-time algorithm for ARRIVAL (due to Gärtner, Haslebacher, Hoang). An interesting question is whether this common framework can be further exploited to give better algorithms for either problem.

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