Weak Determinacy and Decidability of Reachability Games with Partial Observation

نویسندگان

  • Nathalie Bertrand
  • Blaise Genest
  • Hugo Gimbert
چکیده

We consider two-players stochastic reachability games with partial observation on both sides and finitely many states, signals and actions. We prove that in such games, either player 1 has a strategy for winning with probability 1, or player 2 has a strategy for winning with probability 1, or both players have strategies that guarantee winning with strictly positive probability (positively winning strategies). We give a fix-point algorithm for deciding in doubly-exponential time which of the three cases holds.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Determinacy and Decidability of Reachability Games with Partial Observation on Both Sides

We consider two-players stochastic reachability games with partial observation on both sides and finitely many states, signals and actions. We prove that in such games, either player 1 has a strategy for winning with probability 1, or player 2 has such a strategy, or both players have strategies that guarantee winning with non-zero probability (positively winning strategies). We give a fix-poin...

متن کامل

Games with a Weak Adversary

We consider multi-player graph games with partial-observation and parity objective. While the decision problem for three-player games with a coalition of the first and second players against the third player is undecidable in general, we present a decidability result for partial-observation games where the first and third player are in a coalition against the second player, thus where the secon...

متن کامل

O-Minimal Hybrid Reachability Games

In this paper, we consider reachability games over general hybrid systems, and distinguish between two possible observation frameworks for those games: either the precise dynamics of the system is seen by the players (this is the perfect observation framework), or only the starting point and the delays are known by the players (this is the partial observation framework). In the first more class...

متن کامل

Static analysis of parity games: alternating reachability under parity1

It is well understood that solving parity games is equivalent, up to polynomial time, to model checking of the modal mu-calculus. It is a long-standing open problem whether solving parity games (or model checking modal mu-calculus formulas) can be done in polynomial time. A recent approach to studying this problem has been the design of partial solvers, algorithms that run in polynomial time an...

متن کامل

Weak Subgame Perfect Equilibria and their Application to Quantitative Reachability

We study n-player turn-based games played on a finite directed graph. For each play, the players have to pay a cost that they want to minimize. Instead of the well-known notion of Nash equilibrium (NE), we focus on the notion of subgame perfect equilibrium (SPE), a refinement of NE well-suited in the framework of games played on graphs. We also study natural variants of SPE, named weak (resp. v...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008