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We consider turn-based stochastic two-player games with a combination of a parity condition that must hold surely, that is in all possible outcomes, and of a parity condition that must hold almost-surely, that is with probability 1. The…

Computer Science and Game Theory · Computer Science 2026-01-08 Laurent Doyen , Shibashis Guha

We study observation-based strategies for two-player turn-based games on graphs with omega-regular objectives. An observation-based strategy relies on imperfect information about the history of a play, namely, on the past sequence of…

Logic in Computer Science · Computer Science 2015-07-01 Krishnendu Chatterjee , Laurent Doyen , Thomas A. Henzinger , <br> Jean-Francois Raskin

We consider a dynamic game with asymmetric information where each player observes privately a noisy version of a (hidden) state of the world V, resulting in dependent private observations. We study structured perfect Bayesian equilibria…

Systems and Control · Electrical Eng. & Systems 2020-09-10 Nasimeh Heydaribeni , Achilleas Anastasopoulos

We formulate and analyze a general class of stochastic dynamic games with asymmetric information arising in dynamic systems. In such games, multiple strategic agents control the system dynamics and have different information about the…

Computer Science and Game Theory · Computer Science 2015-10-26 Yi Ouyang , Hamidreza Tavafoghi , Demosthenis Teneketzis

A distributed protocol is typically modeled as a set of communicating processes, where each process is described as an extended state machine along with fairness assumptions, and its correctness is specified using safety and liveness…

Formal Languages and Automata Theory · Computer Science 2015-05-19 Rajeev Alur , Mukund Raghothaman , Christos Stergiou , Stavros Tripakis , Abhishek Udupa

We introduce the notion of online reactive planning with sensing actions for systems with temporal logic constraints in partially observable and dynamic environments. With incomplete information on the dynamic environment, reactive…

Systems and Control · Computer Science 2014-10-02 Jie Fu , Ufuk Topcu

We introduce an extension of Strategy Logic for the imperfect-information setting, called SLii, and study its model-checking problem. As this logic naturally captures multi-player games with imperfect information, the problem turns out to…

Logic in Computer Science · Computer Science 2018-09-05 Raphaël Berthon , Bastien Maubert , Aniello Murano , Sasha Rubin , Moshe Vardi

We consider a finite horizon repeated game with $N$ selfish players who observe their types privately and take actions, which are publicly observed. Their actions and types jointly determine their instantaneous rewards. In each period,…

Computer Science and Game Theory · Computer Science 2019-05-17 Deepanshu Vasal

The conditional commitment abilities of mutually transparent computer agents have been studied in previous work on commitment games and program equilibrium. This literature has shown how these abilities can help resolve Prisoner's Dilemmas…

Computer Science and Game Theory · Computer Science 2022-12-06 Anthony DiGiovanni , Jesse Clifton

In this paper, we study the framework of two-player Stackelberg games played on graphs in which Player 0 announces a strategy and Player 1 responds rationally with a strategy that is an optimal response. While it is usually assumed that…

Computer Science and Game Theory · Computer Science 2021-05-05 Véronique Bruyère , Jean-François Raskin , Clément Tamines

In this paper, we address the problem of a two-player linear quadratic differential game with incomplete information, a scenario commonly encountered in multi-agent control, human-robot interaction (HRI), and approximation methods for…

Systems and Control · Electrical Eng. & Systems 2025-04-25 Seyed Yousef Soltanian , Wenlong Zhang

We present a novel method to compute \emph{permissive winning strategies} in two-player games over finite graphs with $ \omega $-regular winning conditions. Given a game graph $G$ and a parity winning condition $\Phi$, we compute a…

Computer Science and Game Theory · Computer Science 2024-01-23 Ashwani Anand , Satya Prakash Nayak , Anne-Kathrin Schmuck

In imperfect information games, the evaluation of a game state not only depends on the observable world but also relies on hidden parts of the environment. As accessing the obstructed information trivialises state evaluations, one approach…

Artificial Intelligence · Computer Science 2024-07-15 Timo Bertram , Johannes Fürnkranz , Martin Müller

This paper studies a language-based opacity enforcement in a two-player, zero-sum game on a graph. In this game, player 1 (P1) wins if it can achieve a secret temporal goal described by the language of a finite automaton, no matter what…

Systems and Control · Electrical Eng. & Systems 2023-04-05 Chongyang Shi , Abhishek N. Kulkarni , Hazhar Rahmani , Jie Fu

We study a class of stochastic dynamic games that exhibit strategic complementarities between players; formally, in the games we consider, the payoff of a player has increasing differences between her own state and the empirical…

Computer Science and Game Theory · Computer Science 2010-12-13 Sachin Adlakha , Ramesh Johari

Desensitization addresses safe optimal planning under parametric uncertainties by providing sensitivity function-based risk estimates. This paper expands upon the existing work on desensitization in optimal control to address safe planning…

Systems and Control · Electrical Eng. & Systems 2024-02-08 Vinodhini Comandur , Tulasi Ram Vechalapu , Venkata Ramana Makkapati , Panagiotis Tsiotras , Seth Hutchinson

In the inference attacks studied in Quantitative Information Flow (QIF), the adversary typically tries to interfere with the system in the attempt to increase its leakage of secret information. The defender, on the other hand, typically…

Cryptography and Security · Computer Science 2023-07-19 Mário S. Alvim , Konstantinos Chatzikokolakis , Yusuke Kawamoto , Catuscia Palamidessi

We study the problem of Bayesian learning in a dynamical system involving strategic agents with asymmetric information. In a series of seminal papers in the literature, this problem has been investigated under a simplifying model where…

Computer Science and Game Theory · Computer Science 2020-07-09 Deepanshu Vasal , Achilleas Anastasopoulos

In imperfect-information games, the optimal strategy in a subgame may depend on the strategy in other, unreached subgames. Thus a subgame cannot be solved in isolation and must instead consider the strategy for the entire game as a whole,…

Artificial Intelligence · Computer Science 2017-11-20 Noam Brown , Tuomas Sandholm

We study discounted infinitely repeated games in which players agree on a cooperative mixed action profile but, at each step, observe only the realized pure actions. This form of imperfect monitoring breaks classical trigger strategies,…

Applications · Statistics 2026-03-09 Aymeric Capitaine , Antoine Scheid , Etienne Boursier , Alain Durmus , Michael I. Jordan