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Fighting Fantasy is a popular recreational fantasy gaming system worldwide. Combat in this system progresses through a stochastic game involving a series of rounds, each of which may be won or lost. Each round, a limited resource (`luck')…

Artificial Intelligence · Computer Science 2020-02-25 Iain G. Johnston

In this paper, we study the notion of admissibility for randomised strategies in concurrent games. Intuitively, an admissible strategy is one where the player plays `as well as possible', because there is no other strategy that dominates…

Computer Science and Game Theory · Computer Science 2017-02-22 Nicolas Basset , Gilles Geeraerts , Jean-François Raskin , Ocan Sankur

Learning a near optimal policy in a partially observable system remains an elusive challenge in contemporary reinforcement learning. In this work, we consider episodic reinforcement learning in a reward-mixing Markov decision process (MDP).…

Machine Learning · Computer Science 2022-02-01 Jeongyeol Kwon , Yonathan Efroni , Constantine Caramanis , Shie Mannor

Reinforcement Learning algorithms are primarily focused on learning a policy that maximizes expected return. As a result, the learned policy can exploit one or few reward sources. However, in many natural situations, it is desirable to…

Machine Learning · Computer Science 2026-03-31 Sagalpreet Singh , Rishi Saket , Aravindan Raghuveer

Stochastic games generalize Markov decision processes (MDPs) to a multiagent setting by allowing the state transitions to depend jointly on all player actions, and having rewards determined by multiplayer matrix games at each state. We…

Computer Science and Game Theory · Computer Science 2013-01-18 Michael Kearns , Yishay Mansour , Satinder Singh

We study a class of two-player competitive concurrent stochastic games on graphs with reachability objectives. Specifically, player 1 aims to reach a subset $F_1$ of game states, and player 2 aims to reach a subset $F_2$ of game states…

Systems and Control · Electrical Eng. & Systems 2023-03-24 Chongyang Shi , Shuo Han , Jie Fu

Multi-agent planning and reinforcement learning can be challenging when agents cannot see the state of the world or communicate with each other due to communication costs, latency, or noise. Partially Observable Stochastic Games (POSGs)…

Multiagent Systems · Computer Science 2024-12-20 Rafael F. Cunha , Jacopo Castellini , Johan Peralez , Jilles S. Dibangoye

We seek to align agent behavior with a user's objectives in a reinforcement learning setting with unknown dynamics, an unknown reward function, and unknown unsafe states. The user knows the rewards and unsafe states, but querying the user…

Computers and Society · Computer Science 2021-03-26 Siddharth Reddy , Anca D. Dragan , Sergey Levine , Shane Legg , Jan Leike

This paper studies a two-player game with a quantitative surveillance requirement on an adversarial target moving in a discrete state space and a secondary objective to maximize short-term visibility of the environment. We impose the…

Robotics · Computer Science 2019-11-19 Suda Bharadwaj , Louis Ly , Bo Wu , Richard Tsai , Ufuk Topcu

In dynamic settings each economic agent's choices can be revealing of her private information. This elicitation via the rationalization of observable behavior depends each agent's perception of which payoff-relevant contingencies other…

Theoretical Economics · Economics 2021-05-17 Evan Piermont , Peio Zuazo-Garin

Human preferences are not always represented via complete linear orders: It is natural to employ partially-ordered preferences for expressing incomparable outcomes. In this work, we consider decision-making and probabilistic planning in…

Robotics · Computer Science 2024-10-21 Hazhar Rahmani , Abhishek N. Kulkarni , Jie Fu

An important challenge in non-cooperative game theory is coordinating on a single (approximate) equilibrium from many possibilities - a challenge that becomes even more complex when players hold private information. Recommender mechanisms…

Computer Science and Game Theory · Computer Science 2025-05-30 Bengisu Guresti , Chongjie Zhang , Yevgeniy Vorobeychik

The paper addresses the problem of computing maximal conditional expected accumulated rewards until reaching a target state (briefly called maximal conditional expectations) in finite-state Markov decision processes where the condition is…

Logic in Computer Science · Computer Science 2023-03-07 Christel Baier , Joachim Klein , Sascha Klüppelholz , Sascha Wunderlich

Technology development efforts in autonomy and cyber-defense have been evolving independently of each other, over the past decade. In this paper, we report our ongoing effort to integrate these two presently distinct areas into a single…

Computer Science and Game Theory · Computer Science 2020-02-07 Mohamadreza Ahmadi , Arun A. Viswanathan , Michel D. Ingham , Kymie Tan , Aaron D. Ames

Stochastic games provide a framework for interactions among multiple agents and enable a myriad of applications. In these games, agents decide on actions simultaneously, the state of every agent moves to the next state, and each agent…

Machine Learning · Computer Science 2019-10-10 Mridul Agarwal , Vaneet Aggarwal , Arnob Ghosh , Nilay Tiwari

In two-player finite-state stochastic games of partial observation on graphs, in every state of the graph, the players simultaneously choose an action, and their joint actions determine a probability distribution over the successor states.…

Computer Science and Game Theory · Computer Science 2011-07-13 Krishnendu Chatterjee , Laurent Doyen

This paper considers mean field games in a multi-agent Markov decision process (MDP) framework. Each player has a continuum state and binary action, and benefits from the improvement of the condition of the overall population. Based on an…

Optimization and Control · Mathematics 2021-01-05 Minyi Huang , Yan Ma

We study finite-memory (FM) determinacy in games on finite graphs, a central question for applications in controller synthesis, as FM strategies correspond to implementable controllers. We establish general conditions under which FM…

Computer Science and Game Theory · Computer Science 2018-10-08 Stéphane Le Roux , Arno Pauly , Mickael Randour

This paper examines games with strategic complements or substitutes and incomplete information, where players are uncertain about the opponents' parameters. We assume that the players' beliefs about the opponent's parameters are selected…

Theoretical Economics · Economics 2025-01-28 Joep van Sloun

Through a stochastic control theoretic approach, we analyze reputation games where a strategic long-lived player acts in a sequential repeated game against a collection of short-lived players. The key assumption in our model is that the…

Optimization and Control · Mathematics 2020-01-22 Nuh Aygün Dalkıran , Serdar Yüksel
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