Cost-Parity and Cost-Street Games

Speaker

Martin Zimmermann
Title Cost-Parity and Cost-Street Games
When 28.11.2012, 10.00
Where Room 5052
Abstract Cost-parity and cost-Streett games are played in weighted arenas and extend classical and finitary parity and Streett games by requiring bounds on the cost between requests and their responses. For cost-parity games we show that the first player has positional winning strategies and that determining the winner lies in NP and co-NP. For cost-Streett games we show that the first player has finite-state winning strategies and that determining the winner is EXPTIME-complete. This unifies the complexity results for the classical and finitary variants of these games. Both types of cost-games can be solved by solving linearly many instances of their classical variants.

Joint work with Nathanaël Fijalkow (LIAFA & University of Warsaw)
Slides