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Commuters looking for the shortest path to their destinations, the security of networked computers, hedge funds trading on the same stocks, governments and populations acting to mitigate an epidemic, or employers and employees agreeing on a…

Probability · Mathematics 2023-10-17 Dylan Possamaï , Ludovic Tangpi

To protect the systems exposed to the Internet against attacks, a security system with the capability to engage with the attacker is needed. There have been attempts to model the engagement/interactions between users, both benign and…

Cryptography and Security · Computer Science 2018-01-19 Vivek Shandilya , Sajjan Shiva

We compare games under delayed control and delay games, two types of infinite games modelling asynchronicity in reactive synthesis. In games under delayed control both players suffer from partial informedness due to symmetrically delayed…

Computer Science and Game Theory · Computer Science 2025-03-19 Martin Fränzle , Paul Kröger , Sarah Winter , Martin Zimmermann

We unify standard frameworks for approachability both in full or partial monitoring by defining a new abstract game, called the "purely informative game", where the outcome at each stage is the maximal information players can obtain,…

Computer Science and Game Theory · Computer Science 2013-01-17 Vianney Perchet , Marc Quincampoix

We construct a model of strategic imitation in an arbitrary network of players who interact through an additive game. Assuming a discrete time update, we show a condition under which the resulting difference equations converge to consensus.…

Dynamical Systems · Mathematics 2019-04-15 Christopher Griffin , Sarah Rajtmajer , Anna Squicciarini , Andrew Belmonte

Two-player stochastic games are games with two 2 players and a randomised entity called "nature". A natural question to ask in this framework is the existence of strategies that ensure that an event happens with probability 1 (almost-sure…

Computer Science and Game Theory · Computer Science 2018-06-27 Youssouf Oualhadj , Léo Tible , Daniele Varacca

This paper introduces state abstraction for two-player zero-sum Markov games (TZMGs), where the payoffs for the two players are determined by the state representing the environment and their respective actions, with state transitions…

Computer Science and Game Theory · Computer Science 2024-12-23 Hiroki Ishibashi , Kenshi Abe , Atsushi Iwasaki

We revisit the question of modeling incomplete information among 2 Bayesian players, following an ex-ante approach based on values of zero-sum games. $K$ being the finite set of possible parameters, an information structure is defined as a…

Optimization and Control · Mathematics 2019-04-02 Fabien Gensbittel , Marcin Peski , Jérôme Renault

We study the stochastic dynamics of evolutionary games, and focus on the so-called `stochastic slowdown' effect, previously observed in (Altrock et. al, 2010) for simple evolutionary dynamics. Slowdown here refers to the fact that a…

Populations and Evolution · Quantitative Biology 2012-07-30 Philipp M. Altrock , Arne Traulsen , Tobias Galla

We study in depth the class of games with opacity condition, which are two-player games with imperfect information in which one of the players only has imperfect information, and where the winning condition relies on the information he has…

Computer Science and Game Theory · Computer Science 2011-06-08 Bastien Maubert , Sophie Pinchinat , Laura Bozzelli

In two-player games on graphs, the players move a token through a graph to produce an infinite path, which determines the winner of the game. Such games are central in formal methods since they model the interaction between a…

Computer Science and Game Theory · Computer Science 2023-06-22 Milad Aghajohari , Guy Avni , Thomas A. Henzinger

This paper studies two-player zero-sum repeated Bayesian games in which every player has a private type that is unknown to the other player, and the initial probability of the type of every player is publicly known. The types of players are…

Computer Science and Game Theory · Computer Science 2017-11-08 Lichun Li , Cedric Langbort , Jeff Shamma

We consider a class of nonlocal games that are related to binary constraint systems (BCSs) in a manner similar to the games implicit in the work of Mermin [N.D. Mermin, "Simple unified form for the major no-hidden-variables theorems," Phys.…

Quantum Physics · Physics 2013-10-17 Richard Cleve , Rajat Mittal

Mean-field games with absorption is a class of games, that have been introduced in Campi and Fischer (2018) and that can be viewed as natural limits of symmetric stochastic differential games with a large number of players who, interacting…

Probability · Mathematics 2021-11-05 Luciano Campi , Maddalena Ghio , Giulia Livieri

We consider a zero-sum stochastic game for continuous-time Markov chain with countable state space and unbounded transition and pay-off rates. The additional feature of the game is that the controllers together with taking actions are also…

Optimization and Control · Mathematics 2020-09-01 Chandan Pal , Subhamay Saha

Motivated by the scarcity of accurate payoff feedback in practical applications of game theory, we examine a class of learning dynamics where players adjust their choices based on past payoff observations that are subject to noise and…

Optimization and Control · Mathematics 2016-06-03 Mario Bravo , Panayotis Mertikopoulos

In games with incomplete and ambiguous information, rational behavior depends not only on fundamental ambiguity (ambiguity about states) but also on strategic ambiguity (ambiguity about others' actions), which further induces hierarchies of…

Theoretical Economics · Economics 2024-11-22 Takashi Ui

We consider a scenario where N users try to access a common base station. Associated with each user is its channel state and a finite queue which varies with time. Each user chooses his power and the admission control variable in a dynamic…

Systems and Control · Computer Science 2012-10-31 Prashant Narayanan , Vinod Sharma

This paper considers the discounted criterion of nonzero-sum decentralized stochastic games with prospect players. The state and action spaces are finite. The state transition probability is nonstationary. Each player independently controls…

Optimization and Control · Mathematics 2024-05-16 Yiting Wu , Junyu Zhang

We consider an n-player symmetric stochastic game with weak interaction between the players. Time is continuous and the horizon and the number of states are finite. We show that the value function of each of the players can be approximated…

Analysis of PDEs · Mathematics 2018-07-13 Erhan Bayraktar , Asaf Cohen