The complexity of markov equilibrium in stochastic games

C Daskalakis, N Golowich… - The Thirty Sixth Annual …, 2023 - proceedings.mlr.press
We show that computing approximate stationary Markov coarse correlated equilibria (CCE)
in general-sum stochastic games is PPAD-hard, even when there are two players, the game …

Planning and acting in partially observable stochastic domains

LP Kaelbling, ML Littman, AR Cassandra - Artificial intelligence, 1998 - Elsevier
In this paper, we bring techniques from operations research to bear on the problem of
choosing optimal actions in partially observable stochastic domains. We begin by …

[图书][B] Automata, logics, and infinite games: a guide to current research

E Grädel, W Thomas, T Wilke - 2003 - books.google.com
A central aim and ever-lasting dream of computer science is to put the development of
hardware and software systems on a mathematical basis which is both firm and practical …

A survey of computational complexity results in systems and control

VD Blondel, JN Tsitsiklis - Automatica, 2000 - Elsevier
The purpose of this paper is twofold:(a) to provide a tutorial introduction to some key
concepts from the theory of computational complexity, highlighting their relevance to …

[图书][B] Essentials of tropical combinatorics

M Joswig - 2021 - books.google.com
The goal of this book is to explain, at the graduate student level, connections between
tropical geometry and optimization. Building bridges between these two subject areas is …

[图书][B] Algorithms for sequential decision-making

ML Littman - 1996 - search.proquest.com
Sequential decision making is a fundamental task faced by any intelligent agent in an
extended interaction with its environment; it is the act of answering the question" What …

Deciding the winner in parity games is in UP∩ co-UP

M Jurdziński - Information Processing Letters, 1998 - Elsevier
We observe that the problem of deciding the winner in mean payoff games is in the
complexity class UP∩ co-UP. We also show a simple reduction from parify games to mean …

Small progress measures for solving parity games

M Jurdziński - Annual Symposium on Theoretical Aspects of …, 2000 - Springer
In this paper we develop a new algorithm for deciding the winner in parity games, and hence
also for the modal μ-calculus model checking. The design and analysis of the algorithm is …

Quantitative languages

K Chatterjee, L Doyen, TA Henzinger - ACM Transactions on …, 2010 - dl.acm.org
Quantitative generalizations of classical languages, which assign to each word a real
number instead of a Boolean value, have applications in modeling resource-constrained …

Concurrent reachability games

L De Alfaro, TA Henzinger, O Kupferman - Theoretical computer science, 2007 - Elsevier
We consider concurrent two-player games with reachability objectives. In such games, at
each round, player 1 and player 2 independently and simultaneously choose moves, and …