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Stochastic games are an important class of problems that generalize Markov decision processes to game theoretic scenarios. We consider finite state two-player zero-sum stochastic games over an infinite time horizon with discounted rewards.…

Optimization and Control · Mathematics 2008-06-17 Parikshit Shah , Pablo A. Parrilo

We introduce a two-player model of reinforcement learning with memory. Past actions of an iterated game are stored in a memory and used to determine player's next action. To examine the behaviour of the model some approximate methods are…

Statistical Mechanics · Physics 2009-11-13 Adam Lipowski , Krzysztof Gontarek , Marcel Ausloos

This paper introduces alignment games, a new class of zero-sum games modeling strategic interventions where effectiveness depends on alignment with an underlying hidden state. Motivated by operational problems in medical diagnostics,…

Optimization and Control · Mathematics 2025-09-08 Pedro Cesar Lopes Gerum , Thomas Lidbetter

We introduce the class of pay or play games, which captures scenarios in which each decision maker is faced with a choice between two actions: one with a fixed payoff and an- other with a payoff dependent on others' selected actions. This…

Computer Science and Game Theory · Computer Science 2013-09-27 Sigal Oren , Michael Schapira , Moshe Tennenholtz

Corrigibility of autonomous agents is an under explored part of system design, with previous work focusing on single agent systems. It has been suggested that uncertainty over the human preferences acts to keep the agents corrigible, even…

Computer Science and Game Theory · Computer Science 2025-01-10 Edmund Dable-Heath , Boyko Vodenicharski , James Bishop

In the contemporary digital landscape, cybersecurity has become a critical issue due to the increasing frequency and sophistication of cyber attacks. This study utilizes a non-zero-sum game theoretical framework to model the strategic…

Computer Science and Game Theory · Computer Science 2025-05-23 Dongyoung Park , Gaby G. Dagher

We consider a variant of the target defense problem where a single defender is tasked to capture a sequence of incoming intruders. The intruders' objective is to breach the target boundary without being captured by the defender. As soon as…

Robotics · Computer Science 2022-12-14 Arman Pourghorban , Michael Dorothy , Daigo Shishika , Alexander Von Moll , Dipankar Maity

A zero-one matrix $A$ contains another zero-one matrix $P$ if some submatrix of $A$ can be transformed to $P$ by changing some ones to zeros. $A$ avoids $P$ if $A$ does not contain $P$. The Pattern Avoidance Game is played by two players.…

Discrete Mathematics · Computer Science 2017-04-19 P. A. CrowdMath

We consider finite-state concurrent stochastic games, played by k>=2 players for an infinite number of rounds, where in every round, each player simultaneously and independently of the other players chooses an action, whereafter the…

Computer Science and Game Theory · Computer Science 2015-06-09 Krishnendu Chatterjee , Kristoffer Arnsfelt Hansen , Rasmus Ibsen-Jensen

We consider a two-player zero-sum network routing game in which a router wants to maximize the amount of legitimate traffic that flows from a given source node to a destination node and an attacker wants to block as much legitimate traffic…

Computer Science and Game Theory · Computer Science 2020-03-13 David Grimsman , Joao P Hespanha , Jason R Marden

We consider two classes of constrained finite state-action stochastic games. First, we consider a two player nonzero sum single controller constrained stochastic game with both average and discounted cost criterion. We consider the same…

Optimization and Control · Mathematics 2012-06-11 Vikas Vikram Singh , N. Hemachandra

We study a simple adaptive model in the framework of an N -player normal form game. The model consists of a repeated game where the players only know their own action space and their own payoff scored at each stage, not those of the other…

Computer Science and Game Theory · Computer Science 2017-06-12 Mario Bravo

This paper studies the sensor placement problem in a networked control system for improving its security against cyber-physical attacks. The problem is formulated as a zero-sum game between an attacker and a detector. The attacker's…

Optimization and Control · Mathematics 2018-09-25 Mohammad Pirani , Ehsan Nekouei , Henrik Sandberg , Karl Henrik Johansson

This paper studies two important signal processing aspects of equilibrium behavior in non-cooperative games arising in social networks, namely, reinforcement learning and detection of equilibrium play. The first part of the paper presents a…

Computer Science and Game Theory · Computer Science 2015-01-07 Omid Namvar Gharehshiran , William Hoiles , Vikram Krishnamurthy

In this work, we provide a structural characterization of the possible Nash equilibria in the well-studied class of security games with additive utility. Our analysis yields a classification of possible equilibria into seven types and we…

Computer Science and Game Theory · Computer Science 2022-08-05 Joe Clanin , Sourabh Bhattacharya

We consider two-player non-zero-sum stopping games in discrete time. Unlike Dynkin games, in our games the payoff of each player is revealed after both players stop. Moreover, each player can adjust her own stopping strategy according to…

Optimization and Control · Mathematics 2015-08-26 Zhou Zhou

There has been significant recent interest in leader-follower security games, where the leader dominates the decision process with the Stackelberg equilibrium (SE) strategy. However, such a leader-follower scheme may become invalid in…

Computer Science and Game Theory · Computer Science 2022-10-31 Gehui Xu , Guanpu Chen , Zhaoyang Cheng , Yiguang Hong , Hongsheng Qi

We define a class of zero-sum games with combinatorial structure, where the best response problem of one player is to maximize a submodular function. For example, this class includes security games played on networks, as well as the problem…

Computer Science and Game Theory · Computer Science 2017-12-04 Bryan Wilder

Conventional language model (LM) safety alignment relies on a reactive, disjoint procedure: attackers exploit a static model, followed by defensive fine-tuning to patch exposed vulnerabilities. This sequential approach creates a mismatch --…

Machine Learning · Computer Science 2025-10-07 Mickel Liu , Liwei Jiang , Yancheng Liang , Simon Shaolei Du , Yejin Choi , Tim Althoff , Natasha Jaques

This article studies a problem of strategic network inspection, in which a defender (agency) is tasked with detecting the presence of multiple attacks in the network. An inspection strategy entails monitoring the network components,…

Computer Science and Game Theory · Computer Science 2022-05-30 Mathieu Dahan , Lina Sela , Saurabh Amin
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