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We study strategic games on weighted directed graphs, where the payoff of a player is defined as the sum of the weights on the edges from players who chose the same strategy augmented by a fixed non-negative bonus for picking a given…

计算机科学与博弈论 · 计算机科学 2016-04-19 Sunil Simon , Dominik Wojtczak

Federated learning aims to train predictive models for data that is distributed across clients, under the orchestration of a server. However, participating clients typically each hold data from a different distribution, which can yield to…

机器学习 · 计算机科学 2022-11-02 Sharut Gupta , Kartik Ahuja , Mohammad Havaei , Niladri Chatterjee , Yoshua Bengio

We study finite-memory (FM) determinacy in games on finite graphs, a central question for applications in controller synthesis, as FM strategies correspond to implementable controllers. We establish general conditions under which FM…

计算机科学与博弈论 · 计算机科学 2018-10-08 Stéphane Le Roux , Arno Pauly , Mickael Randour

We study the problem of checking for the existence of constrained pure Nash equilibria in a subclass of polymatrix games defined on weighted directed graphs. The payoff of a player is defined as the sum of nonnegative rational weights on…

计算机科学与博弈论 · 计算机科学 2016-11-30 Sunil Simon , Dominik Wojtczak

This paper addresses a class of network games played by dynamic agents using their outputs. Unlike most existing related works, the Nash equilibrium in this work is defined by functions of agent outputs instead of full agent states, which…

最优化与控制 · 数学 2023-04-27 Meichen Guo , Claudio De Persis

We consider a multi-player stochastic differential game with linear McKean-Vlasov dynamics and quadratic cost functional depending on the variance and mean of the state and control actions of the players in open-loop form. Finite and…

概率论 · 数学 2018-12-04 Enzo Miller , Huyen Pham

We discuss the long-run behavior of stochastic dynamics of many interacting players in spatial evolutionary games. In particular, we investigate the effect of the number of players and the noise level on the stochastic stability of Nash…

统计力学 · 物理学 2009-11-07 Jacek Miekisz

Game-theoretic techniques and equilibria analysis facilitate the design and verification of competitive systems. While algorithmic complexity of equilibria computation has been extensively studied, practical implementation and application…

计算机科学与博弈论 · 计算机科学 2022-02-02 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos

Strategy Logic (SL) is a very expressive logic for specifying and verifying properties of multi-agent systems: in SL, one can quantify over strategies, assign them to agents, and express properties of the resulting plays. Such a powerful…

计算机科学中的逻辑 · 计算机科学 2017-08-22 Patrick Gardy , Patricia Bouyer , Nicolas Markey

In recent work, semantic games of independence-friendly logic were studied in strategic form in terms of (mixed strategy) Nash equilibria. The class of strategic games of independence-friendly logic is contained in the class of win-loss,…

逻辑 · 数学 2014-01-21 Merlijn Sevenster

Game theory is usually considered applied mathematics, but a few game-theoretic results, such as Borel determinacy, were developed by mathematicians for mathematics in a broad sense. These results usually state determinacy, i.e. the…

逻辑 · 数学 2014-05-09 Stéphane Le Roux

This study investigates differential games with motion-payoff uncertainty in continuous-time settings. We propose a framework where players update their beliefs about uncertain parameters using continuous Bayesian updating. Theoretical…

多智能体系统 · 计算机科学 2025-09-16 Jiangjing Zhou , Ovanes Petrosian , Ye Zhang , Hongwei Gao

Computing Nash equilibrium policies is a central problem in multi-agent reinforcement learning that has received extensive attention both in theory and in practice. However, provable guarantees have been thus far either limited to fully…

Game design hinges on understanding how static rules and content translate into dynamic player behavior - something modern generative systems that inspect only a game's code or assets struggle to capture. We present an automated design…

人工智能 · 计算机科学 2025-07-18 Alex Zook , Josef Spjut , Jonathan Tremblay

In this paper, we study nonzero-sum separable games, which are continuous games whose payoffs take a sum-of-products form. Included in this subclass are all finite games and polynomial games. We investigate the structure of equilibria in…

计算机科学与博弈论 · 计算机科学 2010-04-26 Noah D. Stein , Asuman Ozdaglar , Pablo A. Parrilo

Inspired by successful biological collective decision mechanisms such as honey bees searching for a new colony or the collective navigation of fish schools, we consider a mean field games (MFG)-like scenario where a large number of agents…

系统与控制 · 计算机科学 2016-01-26 Rabih Salhab , Roland P. Malhamé , Jerome Le Ny

Non-cooperative dynamic game theory provides a principled approach to modeling sequential decision-making among multiple noncommunicative agents. A key focus has been on finding Nash equilibria in two-agent zero-sum dynamic games under…

计算机科学与博弈论 · 计算机科学 2025-03-20 Kushagra Gupta , Ross Allen , David Fridovich-Keil , Ufuk Topcu

Considering infinite-horizon, discrete-time, linear quadratic, N-player dynamic games with scalar dynamics, a graphical representation of feedback Nash equilibrium solutions is provided. This representation is utilised to derive conditions…

最优化与控制 · 数学 2025-01-27 Benita Nortmann , Mario Sassano , Thulasi Mylvaganam

In this paper, we consider the problem of learning a generalized Nash equilibrium (GNE) in strongly monotone games. First, we propose a novel continuous-time solution algorithm that uses regular projections and first-order information. As…

系统与控制 · 电气工程与系统科学 2020-07-23 Suad Krilašević , Sergio Grammatico

We study a multi-agent decision problem in large population games. Agents from multiple populations select strategies for repeated interactions with one another. At each stage of these interactions, agents use their decision-making model to…

系统与控制 · 电气工程与系统科学 2024-12-31 Shinkyu Park , Naomi Ehrich Leonard