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This paper analyzes a finite horizon dynamic signaling game motivated by the well-known strategic information transmission problems in economics. The mathematical model involves information transmission between two agents, a sender who…

Systems and Control · Computer Science 2016-11-17 Muhammed Sayin , Emrah Akyol , Tamer Basar

We study a Stackelberg game to examine how two agents determine to cooperate while competing with each other. Each selects an arrival time to a destination, the earlier one fetching a higher reward. There is, however, an inherent penalty in…

Computer Science and Game Theory · Computer Science 2024-07-30 Chenlan Wang , Mehrdad Moharrami , Mingyan Liu

We introduce the application of online learning in a Stackelberg game pertaining to a system with two learning agents in a dyadic exchange network, consisting of a supplier and retailer, specifically where the parameters of the demand…

Computational Engineering, Finance, and Science · Computer Science 2024-10-15 Larkin Liu , Yuming Rong

We study incentive designs for a class of stochastic Stackelberg games with one leader and a large number of (finite as well as infinite population of) followers. We investigate whether the leader can craft a strategy under a dynamic…

Computer Science and Game Theory · Computer Science 2024-02-13 Sina Sanjari , Subhonmesh Bose , Tamer Başar

In this paper, we study the framework of two-player Stackelberg games played on graphs in which Player 0 announces a strategy and Player 1 responds rationally with a strategy that is an optimal response. While it is usually assumed that…

Computer Science and Game Theory · Computer Science 2021-05-05 Véronique Bruyère , Jean-François Raskin , Clément Tamines

In multi-agent problems requiring a high degree of cooperation, success often depends on the ability of the agents to adapt to each other's behavior. A natural solution concept in such settings is the Stackelberg equilibrium, in which the…

Machine Learning · Computer Science 2024-06-14 Robert Loftin , Mustafa Mert Çelikok , Herke van Hoof , Samuel Kaski , Frans A. Oliehoek

We study the problem of finding Stackelberg equilibria in games with a massive number of players. So far, the only known game instances in which the problem is solved in polynomial time are some particular congestion games. However, a…

Computer Science and Game Theory · Computer Science 2019-05-31 Alberto Marchesi , Matteo Castiglioni , Nicola Gatti

We consider the multi-agent spatial navigation problem of computing the socially optimal order of play, i.e., the sequence in which the agents commit to their decisions, and its associated equilibrium in an N-player Stackelberg trajectory…

Robotics · Computer Science 2024-06-26 Haimin Hu , Gabriele Dragotto , Zixu Zhang , Kaiqu Liang , Bartolomeo Stellato , Jaime F. Fisac

Equilibrium refinements are important in extensive-form (i.e., tree-form) games, where they amend weaknesses of the Nash equilibrium concept by requiring sequential rationality and other beneficial properties. One of the most attractive…

Computer Science and Game Theory · Computer Science 2018-11-12 Alberto Marchesi , Gabriele Farina , Christian Kroer , Nicola Gatti , Tuomas Sandholm

This paper is concerned with a three-level stochastic linear-quadratic Stackelberg differential game with asymmetric information, in which three players participate credited as Player 1, Player 2 and Player 3. Player 3 acts as the leader of…

Optimization and Control · Mathematics 2022-10-24 Kaixin Kang , Jingtao Shi

We study a multi-player one-round game termed Stackelberg Network Pricing Game, in which a leader can set prices for a subset of $m$ priceable edges in a graph. The other edges have a fixed cost. Based on the leader's decision one or more…

Data Structures and Algorithms · Computer Science 2008-02-21 Patrick Briest , Martin Hoefer , Piotr Krysta

We propose a model for games in which the players have shared access to a blockchain that allows them to deploy smart contracts to act on their behalf. This changes fundamental game-theoretic assumptions about rationality since a contract…

Computer Science and Game Theory · Computer Science 2023-04-05 Mathias Hall-Andersen , Nikolaj I. Schwartzbach

We examine a patient player's behavior when he can build reputations in front of a sequence of myopic opponents. With positive probability, the patient player is a commitment type who plays his Stackelberg action in every period. We…

Theoretical Economics · Economics 2021-02-11 Yingkai Li , Harry Pei

This paper studies multi-user communication systems with two groups of users: leaders which possess system information, and followers which have no system information using the formulation of Stackelberg games. In such games, the leaders…

Information Theory · Computer Science 2011-08-26 saeedeh parsaeefard , Mihaela van der Schaar , Ahmad R. Sharafat

For common notions of correlated equilibrium in extensive-form games, computing an optimal (e.g., welfare-maximizing) equilibrium is NP-hard. Other equilibrium notions -- communication (Forges 1986) and certification (Forges & Koessler…

Computer Science and Game Theory · Computer Science 2022-12-02 Brian Hu Zhang , Tuomas Sandholm

As predictive models are deployed into the real world, they must increasingly contend with strategic behavior. A growing body of work on strategic classification treats this problem as a Stackelberg game: the decision-maker "leads" in the…

Machine Learning · Computer Science 2022-02-01 Tijana Zrnic , Eric Mazumdar , S. Shankar Sastry , Michael I. Jordan

The Stackelberg security game is played between a defender and an attacker, where the defender needs to allocate a limited amount of resources to multiple targets in order to minimize the loss due to adversarial attack by the attacker.…

Computer Science and Game Theory · Computer Science 2022-04-27 Rufan Bai , Haoxing Lin , Xinyu Yang , Xiaowei Wu , Minming Li , Weijia Jia

Stochastic games have become a prevalent framework for studying long-term multi-agent interactions, especially in the context of multi-agent reinforcement learning. In this work, we comprehensively investigate the concept of constant-memory…

Computer Science and Game Theory · Computer Science 2025-10-16 Fengming Zhu , Fangzhen Lin

In this paper, we consider a discrete-time Stackelberg mean field game with a leader and an infinite number of followers. The leader and the followers each observe types privately that evolve as conditionally independent controlled Markov…

Systems and Control · Electrical Eng. & Systems 2022-09-21 Deepanshu Vasal , Randall Berry

Optimizing strategic decisions (a.k.a. computing equilibrium) is key to the success of many non-cooperative multi-agent applications. However, in many real-world situations, we may face the exact opposite of this game-theoretic problem --…

Computer Science and Game Theory · Computer Science 2022-10-05 Jibang Wu , Weiran Shen , Fei Fang , Haifeng Xu