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We consider games with two antagonistic players --- \'Elo\"ise (modelling a program) and Ab\'elard (modelling a byzantine environment) --- and a third, unpredictable and uncontrollable player, that we call Nature. Motivated by the fact that…

Formal Languages and Automata Theory · Computer Science 2020-10-14 Arnaud Carayol , Olivier Serre

We study heterogeneous $k$-facility location games. In this model there are $k$ facilities where each facility serves a different purpose. Thus, the preferences of the agents over the facilities can vary arbitrarily. Our goal is to design…

Computer Science and Game Theory · Computer Science 2020-10-13 Eleftherios Anastasiadis , Argyrios Deligkas

Motivated by data on coauthorships in scientific publications, we analyze a team formation process that generalizes matching models and network formation models, allowing for overlapping teams of heterogeneous size. We apply different…

Theoretical Economics · Economics 2022-11-29 Leonardo Boncinelli , Alessio Muscillo , Paolo Pin

This paper investigates the discrete-time asynchronous games in which noncooperative agents seek to minimize their individual cost functions. Building on the assumption of partial asynchronism, i.e., each agent updates at least once within…

Optimization and Control · Mathematics 2025-08-13 Zifan Wang , Xinlei Yi , Michael M. Zavlanos , Karl H. Johansson

This paper proposes a new lens for studying threshold games played on networks when the thresholds are heterogeneous. These are games where agents have two possible actions, and prefer action 1 if and only if enough of their neighbours…

Theoretical Economics · Economics 2025-08-07 Alastair Langtry , Sarah Taylor , Yifan Zhang

Information gathering while interacting with other agents under sensing and motion uncertainty is critical in domains such as driving, service robots, racing, or surveillance. The interests of agents may be at odds with others, resulting in…

Robotics · Computer Science 2021-05-14 Wilko Schwarting , Alyssa Pierson , Sertac Karaman , Daniela Rus

We study new classes of games, called zero-sum equivalent games and zero-sum equivalent potential games, and prove decomposition theorems involving these classes of games. We say that two games are "strategically equivalent" if, for every…

Computer Science and Game Theory · Computer Science 2020-05-20 Sung-Ha Hwang , Luc Rey-Bellet

We study variants of regular infinite games where the strict alternation of moves between the two players is subject to modifications. The second player may postpone a move for a finite number of steps, or, in other words, exploit in his…

Formal Languages and Automata Theory · Computer Science 2015-07-01 Michael Holtmann , Lukasz Kaiser , Wolfgang Thomas

In this paper we consider two-person zero-sum risk-sensitive stochastic dynamic games with Borel state and action spaces and bounded reward. The term risk-sensitive refers to the fact that instead of the usual risk neutral optimization…

Optimization and Control · Mathematics 2021-07-21 Nicole Bäuerle , Ulrich Rieder

The \((n,k)\) game models a group of \(n\) individuals with binary opinions, say 1 and 0, where a decision is made if at least \(k\) individuals hold opinion 1. This paper explores the dynamics of the game with heterogeneous agents under…

Probability · Mathematics 2024-09-17 Hsin-Lun Li

In the recently introduced topological distance games, strategic agents need to be assigned to a subset of vertices of a topology. In the assignment, the utility of an agent depends on both the agent's inherent utilities for other agents…

Computer Science and Game Theory · Computer Science 2024-04-23 Argyrios Deligkas , Eduard Eiben , Dušan Knop , Šimon Schierreich

Game theory provides a mathematical framework for analysing strategic situations involving at least two players. Normal-form games model situations where the players simultaneously pick their moves. In this thesis we explore the strategic…

Combinatorics · Mathematics 2019-05-03 Nicholas Ham

Reinforcement learning has seen increasing applications in real-world contexts over the past few years. However, physical environments are often imperfect and policies that perform well in simulation might not achieve the same performance…

Machine Learning · Computer Science 2022-11-15 Carlos Purves , Pietro Liò , Cătălina Cangea

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

Due to the convenience of mobile devices, the online games have become an important part for user entertainments in reality, creating a demand for friend recommendation in online games. However, none of existing approaches can effectively…

Social and Information Networks · Computer Science 2025-04-29 Qiwei Wang , Dandan Lin , Wenqing Lin , Ziming Wu

Decision making in modern large-scale and complex systems such as communication networks, smart electricity grids, and cyber-physical systems motivate novel game-theoretic approaches. This paper investigates big strategic (non-cooperative)…

Computer Science and Game Theory · Computer Science 2016-09-22 Tansu Alpcan , Benjamin I. P. Rubinstein , Christopher Leckie

Artificial agents are typically oriented to the realization of an externally assigned task and try to optimize over secondary aspects of plan execution such time lapse or power consumption, technically displaying a quasi-dichotomous…

Computer Science and Game Theory · Computer Science 2013-11-15 Paolo Turrini

We consider a new setting of facility location games with ordinal preferences. In such a setting, we have a set of agents and a set of facilities. Each agent is located on a line and has an ordinal preference over the facilities. Our goal…

Computer Science and Game Theory · Computer Science 2021-07-06 Hau Chan , Minming Li , Chenhao Wang

We prove two determinacy and decidability results about two-players stochastic reachability games with partial observation on both sides and finitely many states, signals and actions.

Computer Science and Game Theory · Computer Science 2008-11-26 Nathalie Bertrand , Blaise Genest , Hugo Gimbert

This paper introduces algorithm instance games (AIGs) as a conceptual classification applying to games in which outcomes are resolved from joint strategies algorithmically. For such games, a fundamental question asks: How do the details of…

Computer Science and Game Theory · Computer Science 2014-05-15 Samuel D. Johnson , Tsai-Ching Lu