5 papers
Mixing Any Cocktail with Limited Ingredients: On the Structure of Payoff Sets in Multi-Objective POMDPs and its Impact on Randomised Strategies
James C. A. Main, Mickael Randour
We consider multi-dimensional payoff functions in partially observable Markov decision processes. We study the structure of the set of expected payoff vectors of all strategies (po…
Simplicity Lies in the Eye of the Beholder: A Strategic Perspective on Controllers in Reactive Synthesis
Mickael Randour
In the game-theoretic approach to controller synthesis, we model the interaction between a system to be controlled and its environment as a game between these entities, and we seek…
Games on Graphs: From Logic and Automata to Algorithms
Nathanaël Fijalkow, C. Aiswarya, Guy Avni +22
The objective of this book is to give a comprehensive presentation of the research field concerned with infinite duration games on graphs. Historically, these game models appeared…
Taming Infinity one Chunk at a Time: Concisely Represented Strategies in One-Counter MDPs
Michal Ajdarów, James C. A. Main, Petr Novotný +1
Markov decision processes (MDPs) are a canonical model to reason about decision making within a stochastic environment. We study a fundamental class of infinite MDPs: one-counter M…
Different Strokes in Randomised Strategies: Revisiting Kuhn's Theorem under Finite-Memory Assumptions
James C. A. Main, Mickael Randour
Two-player (antagonistic) games on (possibly stochastic) graphs are a prevalent model in theoretical computer science, notably as a framework for reactive synthesis. Optimal strate…