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We investigate newsvendor games whose payoff function is uncertain due to ambiguity in demand distributions. We discuss the concept of stability under uncertainty and introduce solution concepts for robust cooperative games which could be…

最优化与控制 · 数学 2016-01-29 Xuan Vinh Doan , Tri-Dung Nguyen

Reward allocation, also known as the credit assignment problem, has been an important topic in economics, engineering, and machine learning. An important concept in reward allocation is the core, which is the set of stable allocations where…

计算机科学与博弈论 · 计算机科学 2024-11-01 Nam Phuong Tran , The Anh Ta , Shuqing Shi , Debmalya Mandal , Yali Du , Long Tran-Thanh

Stochastic games combine controllable and adversarial non-determinism with stochastic behavior and are a common tool in control, verification and synthesis of reactive systems facing uncertainty. Multi-objective stochastic games are natural…

计算复杂性 · 计算机科学 2022-07-21 Tobias Winkler , Maximilian Weininger

This paper is concerned with a leader-follower stochastic differential game with asymmetric information, where the information available to the follower is based on some sub-$\sigma$-algebra of that available to the leader. Such kind of…

最优化与控制 · 数学 2015-09-15 Jingtao Shi , Guangchen Wang , Jie Xiong

Stochastic games combine controllable and adversarial non-determinism with stochastic behavior and are a common tool in control, verification and synthesis of reactive systems facing uncertainty. Multi-objective stochastic games are natural…

计算机科学与博弈论 · 计算机科学 2021-09-20 Tobias Winkler , Maximilian Weininger

Multi-defender Stackelberg Security Games (MSSG) have recently gained increasing attention in the literature. However, the solutions offered to date are highly sensitive, wherein even small perturbations in the attacker's utility or slight…

计算机科学与博弈论 · 计算机科学 2024-12-17 Dolev Mutzari , Yonatan Aumann , Sarit Kraus

We describe a new approach for managing aleatoric uncertainty in the Reinforcement Learning (RL) paradigm. Instead of selecting actions according to a single statistic, we propose a distributional method based on the second-order stochastic…

机器学习 · 计算机科学 2020-10-08 John D. Martin , Michal Lyskawinski , Xiaohu Li , Brendan Englot

This paper studies a risk minimization problem with decision dependent data distribution. The problem pertains to the performative prediction setting in which a trained model can affect the outcome estimated by the model. Such dependency…

最优化与控制 · 数学 2025-01-07 Qiang Li , Hoi-To Wai

We analyze a cooperative game, where the cooperative act is not based on the previous behaviour of the co-player, but on the similarity between the players. This system has been studied in a mean-field description recently [A. Traulsen and…

统计力学 · 物理学 2007-05-23 Arne Traulsen , Jens Christian Claussen

In this paper, we consider a sequential stochastic Stackelberg game with two players, a leader and a follower. The follower has access to the state of the system while the leader does not. Assuming that the players act in their respective…

最优化与控制 · 数学 2021-02-08 Rajesh K Mishra , Deepanshu Vasal , Sriram Vishwanath

In this paper we introduce the novel framework of distributionally robust games. These are multi-player games where each player models the state of nature using a worst-case distribution, also called adversarial distribution. Thus each…

最优化与控制 · 数学 2017-07-25 Dario Bauso , Jian Gao , Hamidou Tembine

We study a spatial two-strategy (cooperation and defection) Prisoner's Dilemma game with two types ($A$ and $B$) of players located on the sites of a square lattice. The evolution of strategy distribution is governed by iterated strategy…

物理与社会 · 物理学 2009-01-15 Gyorgy Szabo , Attila Szolnoki

Cooperative games model the allocation of profit from joint actions, following considerations such as stability and fairness. We propose the reliability extension of such games, where agents may fail to participate in the game. In the…

计算机科学与博弈论 · 计算机科学 2012-02-20 Yoram Bachrach , Reshef Meir , Michal Feldman , Moshe Tennenholtz

In the usual models of cooperative game theory, the outcome of a coalition formation process is either the grand coalition or a coalition structure that consists of disjoint coalitions. However, in many domains where coalitions are…

计算机科学与博弈论 · 计算机科学 2014-01-17 Georgios Chalkiadakis , Edith Elkind , Evangelos Markakis , Maria Polukarov , Nicholas Robert Jennings

We consider multi-agent coalitional games with uncertainty in the coalitional values. We provide a novel methodology to study the stability of the grand coalition in the case where each coalition constructs ambiguity sets for the (possibly)…

最优化与控制 · 数学 2023-09-06 George Pantazis , Barbara Franci , Sergio Grammatico , Kostas Margellos

In stochastic games with incomplete information, the uncertainty is evoked by the lack of knowledge about a player's own and the other players' types, i.e. the utility function and the policy space, and also the inherent stochasticity of…

机器学习 · 计算机科学 2022-03-21 Hannes Eriksson , Debabrota Basu , Mina Alibeigi , Christos Dimitrakakis

Cores of cooperative games are ubiquitous in information theory, and arise most frequently in the characterization of fundamental limits in various scenarios involving multiple users. Examples include classical settings in network…

信息论 · 计算机科学 2009-01-05 Mokshay Madiman

The rapid expansion of digital commerce platforms has amplified the strategic importance of coordinated pricing and inventory management decisions among competing retailers. Motivated by practices on leading e-commerce platforms, we analyze…

综合经济学 · 经济学 2025-12-02 Hang Wu , Qin Wu , Yue Liu , Mengmeng Shi

We study general-sum, multi-player stochastic games with transferable utility, motivated by settings where agents can use side payments to make cooperation individually rational. Building on the Harsanyi--Shapley (HS) value for normal-form…

计算机科学与博弈论 · 计算机科学 2026-05-12 Yixin Chen , Jeffrey Richley , Darleen Perez-Lavin , Jessica Singh Syal , Solmaz Kia , Alan Kuhnle

This paper studies the problem of robust spectrum-aware routing in a multi-hop, multi-channel Cognitive Radio Network (CRN) with the presence of malicious nodes in the secondary network. The proposed routing scheme models the interaction…

网络与互联网体系结构 · 计算机科学 2018-02-07 Wenbo Wang , Andres Kwasinski , Dusit Niyato , Zhu Han
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