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We study a class of dynamic decision problems of mean field type with time inconsistent cost functionals, and derive a stochastic maximum principle to characterize subgame perfect Nash equilibrium points. Subsequently, this approach is…

最优化与控制 · 数学 2014-03-26 Boualem Djehiche , Minyi Huang

We propose local-biased random walks on general networks where a Markovian walker can choose between different types of biases in each node to define transitions to its neighbors depending on their degrees. For this ergodic dynamics, we…

统计力学 · 物理学 2022-04-27 Christopher Sebastian Hidalgo Calva , Alejandro P. Riascos

The existence of a phase transition with diverging susceptibility in batch Minority Games (MGs) is the mark of informationally efficient regimes and is linked to the specifics of the agents' learning rules. Here we study how the standard…

物理与社会 · 物理学 2009-11-13 Tobias Galla , Andrea De Martino

Mean field games are limit models for symmetric $N$-player games with interaction of mean field type as $N\to\infty$. The limit relation is often understood in the sense that a solution of a mean field game allows to construct approximate…

概率论 · 数学 2017-05-29 Markus Fischer

Recently, strategic games inspired by Schelling's influential model of residential segregation have been studied in the TCS and AI literature. In these games, agents of k different types occupy the nodes of a network topology aiming to…

计算机科学与博弈论 · 计算机科学 2024-03-15 Lata Narayanan , Yasaman Sabbagh , Alexandros A. Voudouris

Perimeter identification involves ascertaining the boundaries of a designated area or zone, requiring traffic flow monitoring, control, or optimization. Various methodologies and technologies exist for accurately defining these perimeters;…

人工智能 · 计算机科学 2024-09-06 Ayal Taitler

In this letter, we investigate the problem of dynamic spectrum access for small cell networks, using a graphical game approach. Compared with existing studies, we take the features of different cell loads and local interference relationship…

信息论 · 计算机科学 2016-11-17 Yuhua Xu , Chenggui Wang , Junhong Chen , Jinlong Wang , Yitao Xu , Qihui Wu , Alagan Anpalagan

Building on the line of work [DIRT15a], [DIRT15b], [NS17a], [DT17], [HLS18], [HS18] we continue the study of particle systems with singular interaction through hitting times. In contrast to the previous research, we (i) consider very…

概率论 · 数学 2019-09-26 Sergey Nadtochiy , Mykhaylo Shkolnikov

Large-scale competitive platforms are interacting multi-agent systems in which latent skills drift over time and pairwise interactions are shaped by matchmaking. We study a controlled rating dynamics in the mean-field limit and derive a…

最优化与控制 · 数学 2025-12-29 Wataru Nozawa

We introduce a variant of the deterministic rendezvous problem for a pair of heterogeneous agents operating in an undirected graph, which differ in the time they require to traverse particular edges of the graph. Each agent knows the…

数据结构与算法 · 计算机科学 2014-06-10 Dariusz Dereniowski , Ralf Klasing , Adrian Kosowski , Łukasz Kuszner

The price of anarchy has become a standard measure of the efficiency of equilibria in games. Most of the literature in this area has focused on establishing worst-case bounds for specific classes of games, such as routing games or more…

计算机科学与博弈论 · 计算机科学 2022-06-09 Roberto Cominetti , Valerio Dose , Marco Scarsini

In a generic switching problem, a switching pattern consists of a one-to-one mapping from a set of inputs to a set of outputs (i.e., a permutation). We propose and investigate a wireless switching framework in which a multi-antenna relay is…

信息论 · 计算机科学 2011-04-21 Fanggang Wang , Soung Chang Liew

We solve two stochastic control problems in which a player tries to minimize or maximize the exit time from an interval of a Brownian particle, by controlling its drift. The player can change from one drift to another but is subject to a…

概率论 · 数学 2014-08-19 Robert C. Dalang , Laura Vinckenbosch

We study how risk-sensitive players act in situations where the outcome is influenced not only by the state-action profile but also by the distribution of it. In such interactive decision-making problems, the classical mean-field game…

最优化与控制 · 数学 2015-05-26 Hamidou Tembine

Probabilistic timed automata are a suitable formalism to model systems with real-time, nondeterministic and probabilistic behaviour. We study two-player zero-sum games on such automata where the objective of the game is specified as the…

计算机科学中的逻辑 · 计算机科学 2016-04-18 Vojtěch Forejt , Marta Kwiatkowska , Gethin Norman , Ashutosh Trivedi

In mean-payoff games, the objective of the protagonist is to ensure that the limit average of an infinite sequence of numeric weights is nonnegative. In energy games, the objective is to ensure that the running sum of weights is always…

计算机科学与博弈论 · 计算机科学 2012-09-17 Yaron Velner , Krishnendu Chatterjee , Laurent Doyen , Thomas A. Henzinger , Alexander Rabinovich , Jean-Francois Raskin

We introduce Mean Field Markov games with $N$ players, in which each individual in a large population interacts with other randomly selected players. The states and actions of each player in an interaction together determine the…

最优化与控制 · 数学 2012-01-12 H. Tembine , J. -Y. Le Boudec , R. El-Azouzi , E. Altman

In this paper, we provide an effective characterization of all the subgame-perfect equilibria in infinite duration games played on finite graphs with mean-payoff objectives. To this end, we introduce the notion of requirement, and the…

计算机科学与博弈论 · 计算机科学 2022-04-22 Léonard Brice , Jean-François Raskin , Marie Van Den Bogaard

Two-player zero-sum "graph games" are a central model, which proceeds as follows. A token is placed on a vertex of a graph, and the two players move it to produce an infinite "play", which determines the winner or payoff of the game.…

计算机科学与博弈论 · 计算机科学 2022-11-28 Guy Avni , Ismael Jecker , Djordje Zikelic

Motivated by recent developments in mean-field games in ecology, in this paper we introduce a connection between the best response dynamics in evolutionary game theory, the minimization of the highest income of a game, and minimizing…

最优化与控制 · 数学 2024-11-13 Dante Kalise , Alessio Oliviero , Domènec Ruiz-Balet
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