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The Stackelberg game depicts a leader-follower relationship wherein decisions are made sequentially, and the Stackelberg equilibrium represents an expected optimal solution when the leader can anticipate the rational response of the…

Systems and Control · Electrical Eng. & Systems 2024-01-17 Yue Chen , Peng Yi

This paper is concerned with an overlapping information linear-quadratic (LQ) Stackelberg stochastic differential game with two leaders and two followers, where the diffusion terms of the state equation contain both the control and state…

Optimization and Control · Mathematics 2024-01-17 Yu Si , Jingtao Shi

When learning in strategic environments, a key question is whether agents can overcome uncertainty about their preferences to achieve outcomes they could have achieved absent any uncertainty. Can they do this solely through interactions…

Computer Science and Game Theory · Computer Science 2024-11-21 Nivasini Ananthakrishnan , Nika Haghtalab , Chara Podimata , Kunhe Yang

Interaction strategies for reward in competitive environments are significantly influenced by the nature and extent of available information. In financial markets, particularly foreign exchange (forex), traders operate independently with…

Computational Engineering, Finance, and Science · Computer Science 2024-12-03 Patrick Naivasha , George Musumba , Patrick Gikunda , John Wandeto

Differential games with asymmetric information were introduced by Cardaliaguet (2007). As in repeated games with lack of information on both sides (Aumann and Maschler (1995)), each player receives a private signal (his type) before the…

Optimization and Control · Mathematics 2014-03-31 Miquel Oliu-Barton

In this paper, $2\times2$ zero-sum games are studied under the following assumptions: $(1)$ One of the players (the leader) commits to choose its actions by sampling a given probability measure (strategy); $(2)$ The leader announces its…

Computer Science and Game Theory · Computer Science 2023-05-12 Ke Sun , Samir M. Perlaza , Alain Jean-Marie

Large language model-based (LLM-based) agents have become common in settings that include non-cooperative parties. In such settings, agents' decision-making needs to conceal information from their adversaries, reveal information to their…

Artificial Intelligence · Computer Science 2025-10-22 Mustafa O. Karabag , Jan Sobotka , Ufuk Topcu

We study a two-player Stackelberg game with incomplete information such that the follower's strategy belongs to a known family of parameterized functions with an unknown parameter vector. We design an adaptive learning approach to…

Computer Science and Game Theory · Computer Science 2021-01-12 Guosong Yang , Radha Poovendran , João P. Hespanha

Network congestion games are a well-understood model of multi-agent strategic interactions. Despite their ubiquitous applications, it is not clear whether it is possible to design information structures to ameliorate the overall experience…

Computer Science and Game Theory · Computer Science 2020-02-14 Matteo Castiglioni , Andrea Celli , Alberto Marchesi , Nicola Gatti

We identify a subtle security issue that impacts mechanism design in scenarios in which agents can absolutely commit to strategies. Absolute commitments allow the strategy of an agent to depend on the commitments made by the other agents.…

Computer Science and Game Theory · Computer Science 2024-01-26 Daji Landis , Nikolaj I. Schwartzbach

Transparency of information disclosure has always been considered an instrumental component of effective governance, accountability, and ethical behavior in any organization or system. However, a natural question follows: \emph{what is the…

Computer Science and Game Theory · Computer Science 2023-12-01 Tao Li , Quanyan Zhu

In imperfect information games (e.g. Bridge, Skat, Poker), one of the fundamental considerations is to infer the missing information while at the same time avoiding the disclosure of private information. Disregarding the issue of protecting…

Artificial Intelligence · Computer Science 2024-05-24 Jérôme Arjonilla , Abdallah Saffidine , Tristan Cazenave

In this paper, the two-player leader-follower game with private inputs for feedback Stackelberg strategy is considered. In particular, the follower shares its measurement information with the leader except its historical control inputs…

Optimization and Control · Mathematics 2023-09-18 Yue Sun , Hongdan Li , Huanshui Zhang

In Bayesian persuasion, an informed sender, who observes a state, commits to a randomized signaling scheme that guides a self-interested receiver's actions. Classical models assume the receiver knows the commitment. We, instead, study the…

Computer Science and Game Theory · Computer Science 2025-10-03 Caleb Probine , Mustafa O. Karabag , Ufuk Topcu

In this paper, we consider a privacy signaling game problem for binary alphabets and single-bit transmission where a transmitter has a pair of messages, one of which is a casual message that needs to be conveyed, whereas the other message…

Information Theory · Computer Science 2022-03-31 Photios A. Stavrou , Serkan Sarıtaş , Mikael Skoglund

We investigate a privacy-signaling game problem in which a sender with privacy concerns observes a pair of correlated random vectors which are modeled as jointly Gaussian. The sender aims to hide one of these random vectors and convey the…

Information Theory · Computer Science 2022-03-08 Ertan Kazıklı , Sinan Gezici , Serdar Yüksel

We introduce and study incentive equilibria for multi-player meanpayoff games. Incentive equilibria generalise well-studied solution concepts such as Nash equilibria and leader equilibria (also known as Stackelberg equilibria). Recall that…

Computer Science and Game Theory · Computer Science 2015-11-03 Anshul Gupta , M. S. Krishna Deepak , Bharath Kumar Padarthi , Sven Schewe , Ashutosh Trivedi

Bayesian persuasion, an extension of cheap-talk communication, involves an informed sender committing to a signaling scheme to influence a receiver's actions. Compared to cheap talk, this sender's commitment enables the receiver to verify…

Computer Science and Game Theory · Computer Science 2025-06-10 Yue Lin , Shuhui Zhu , William A Cunningham , Wenhao Li , Pascal Poupart , Hongyuan Zha , Baoxiang Wang

We consider two-player non-zero-sum linear-quadratic Gaussian games in which both players aim to minimize a quadratic cost function while controlling a linear and stochastic state process {using linear policies}. The system is partially…

Optimization and Control · Mathematics 2023-08-01 Ben Hambly , Renyuan Xu , Huining Yang

Inverse game theory is utilized to infer the cost functions of all players based on game outcomes. However, existing inverse game theory methods do not consider the learner as an active participant in the game, which could significantly…

Computer Science and Game Theory · Computer Science 2025-10-20 Jianguo Chen , Jinlong Lei , Biqiang Mu , Yiguang Hong , Hongsheng Qi