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In the $(a,b)$-biased Maker-Breaker domination game, two players alternately select unplayed vertices in a graph $G$ such that Dominator selects $a$ and Staller selects $b$ vertices per move. Dominator wins if the vertices he selected…

Combinatorics · Mathematics 2025-10-29 Boštjan Brešar , Csilla Bujtás , Pakanun Dokyeesun , Tanja Dravec

We study a zero-sum stochastic differential game (SDG) in which one controller plays an impulse control while their opponent plays a stochastic control. We consider an asymmetric setting in which the impulse player commits to, at the start…

Probability · Mathematics 2019-01-31 Parsiad Azimzadeh

Maker-Breaker games are played on a hypergraph $(X,\mathcal{F})$, where $\mathcal{F} \subseteq 2^X$ denotes the family of winning sets. Both players alternately claim a predefined amount of edges (called bias) from the board $X$, and Maker…

Combinatorics · Mathematics 2020-10-01 Dennis Clemens , Fabian Hamann , Yannick Mogge , Olaf Parczyk

Strategic deception is an act of manipulating the opponent's perception to gain strategic advantages. In this paper, we study synthesis of deceptive winning strategies in two-player turn-based zero-sum reachability games on graphs with…

Computer Science and Game Theory · Computer Science 2021-04-26 Abhishek N. Kulkarni , Jie Fu

In \emph{zero-sum two-player hidden stochastic games}, players observe partial information about the state. We address: $(i)$ the existence of the \emph{uniform value}, i.e., a limiting average payoff that both players can guarantee for…

Optimization and Control · Mathematics 2026-02-09 Krishnendu Chatterjee , David Lurie , Raimundo Saona , Bruno Ziliotto

We introduce the concept of attainable sets of payoffs in two-player repeated games with vector payoffs. A set of payoff vectors is called {\em attainable} if player 1 can ensure that there is a finite horizon $T$ such that after time $T$…

Optimization and Control · Mathematics 2014-03-07 Dario Bauso , Ehud Lehrer , Eilon Solan , Xavier Venel

Consider a two-person zero-sum search game between a hider and a searcher. The hider hides among $n$ discrete locations, and the searcher successively visits individual locations until finding the hider. Known to both players, a search at…

Machine Learning · Statistics 2021-03-18 Jake Clarkson , Kyle Y. Lin , Kevin D. Glazebrook

Originating in evolutionary game theory, the class of "zero-determinant" strategies enables a player to unilaterally enforce linear payoff relationships in simple repeated games. An upshot of this kind of payoff constraint is that it can…

Theoretical Economics · Economics 2025-11-26 Nikos Dimou , Alex McAvoy

We consider a multilevel network game, where nodes can improve their communication costs by connecting to a high-speed network. The $n$ nodes are connected by a static network and each node can decide individually to become a gateway to the…

Computer Science and Game Theory · Computer Science 2014-09-19 Sebastian Abshoff , Andreas Cord-Landwehr , Daniel Jung , Alexander Skopalik

We consider the following modification of annihilation game called node blocking. Given a directed graph, each vertex can be occupied by at most one token. There are two types of tokens, each player can move his type of tokens. The players…

Computer Science and Game Theory · Computer Science 2021-03-05 Dariusz Dereniowski

An average-time game is played on the infinite graph of configurations of a finite timed automaton. The two players, Min and Max, construct an infinite run of the automaton by taking turns to perform a timed transition. Player Min wants to…

Computer Science and Game Theory · Computer Science 2020-01-16 Marcin Jurdzinski , Ashutosh Trivedi

We study rational agents with different perception capabilities in strategic games. We focus on a class of one-shot limited-perception games. These games extend simultaneous-move normal-form games by presenting each player with an…

Computer Science and Game Theory · Computer Science 2024-05-28 Kai Jia , Martin Rinard

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

Consider a situation with $n$ agents or players where some of the players form a coalition with a certain collective objective. Simple games are used to model systems that can decide whether coalitions are successful (winning) or not…

Computer Science and Game Theory · Computer Science 2016-09-19 Martin Olsen

We consider a one-round two-player network pricing game, the Stackelberg Minimum Spanning Tree game or StackMST. The game is played on a graph (representing a network), whose edges are colored either red or blue, and where the red edges…

Computer Science and Game Theory · Computer Science 2011-03-07 Jean Cardinal , Erik D. Demaine , Samuel Fiorini , Gwenaël Joret , Stefan Langerman , Ilan Newman , Oren Weimann

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

We introduce a new family of one-player games, involving the movement of coins from one configuration to another. Moves are restricted so that a coin can be placed only in a position that is adjacent to at least two other coins. The goal of…

Discrete Mathematics · Computer Science 2007-05-23 Erik D. Demaine , Martin L. Demaine , Helena A. Verrill

Priced timed games are two-player zero-sum games played on priced timed automata (whose locations and transitions are labeled by weights modeling the costs of spending time in a state and executing an action, respectively). The goals of the…

Computer Science and Game Theory · Computer Science 2017-04-05 Thomas Brihaye , Gilles Geeraerts , Axel Haddad , Engel Lefaucheux , Benjamin Monmege

Zero-sum Dynkin games under Poisson constraints, where players can only stop at the event times of a Poisson process, have been studied widely in the recent literature. The constraint can be modelled in two ways: either both players share…

Optimization and Control · Mathematics 2025-12-09 David Hobson , Gechun Liang , Edward Wang

In general, finite concurrent two-player reachability games are only determined in a weak sense: the supremum probability to win can be approached via stochastic strategies, but cannot be realized. We introduce a class of concurrent games…

Computer Science and Game Theory · Computer Science 2021-07-12 Benjamin Bordais , Patricia Bouyer , Stéphane Le Roux
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