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We study Stackelberg (leader--follower) tuning of network parameters (tolls, capacities, incentives) in combinatorial congestion games, where selfish users choose discrete routes (or other combinatorial strategies) and settle at a…

Computer Science and Game Theory · Computer Science 2026-02-27 Saeed Masiha , Sepehr Elahi , Negar Kiyavash , Patrick Thiran

This paper studies a delegation problem faced by the planner who wants to regulate receivers' reaction choices in markets for matching between receivers and senders with signaling. We provide a noble insight into the planner's willingness…

Theoretical Economics · Economics 2023-03-17 Seungjin Han , Alex Sam , Youngki Shin

We study a stochastic process that mimics single-game elimination tournaments. In our model, the outcome of each match is stochastic: the weaker player wins with upset probability q<=1/2, and the stronger player wins with probability 1-q.…

Statistical Mechanics · Physics 2007-05-23 E. Ben-Naim , S. Redner , F. Vazquez

Human cooperation depends on how accurately we infer others' motives--how much they value fairness, generosity, or self-interest from the choices they make. We model that process in binary dictator games, which isolate moral trade-offs…

Neurons and Cognition · Quantitative Biology 2025-11-12 Gregory Stanley , Jun Zhang , Rick Lewis

Motivated by models of epidemic control in large populations, we consider a Stackelberg mean field game model between a principal and a mean field of agents evolving on a finite state space. The agents play a non-cooperative game in which…

Optimization and Control · Mathematics 2021-05-26 Alexander Aurell , Rene Carmona , Gokce Dayanikli , Mathieu Lauriere

We study an online learning problem in general-sum Stackelberg games, where players act in a decentralized and strategic manner. We study two settings depending on the type of information for the follower: (1) the limited information…

Machine Learning · Computer Science 2025-05-06 Yaolong Yu , Haipeng Chen

In this paper, we consider a discrete-time Stackelberg mean field game with a finite number of leaders, a finite number of major followers and an infinite number of minor followers. The leaders and the followers each observe types privately…

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

In recent years, various decentralized organizational forms have emerged, posing a challenge for organizational design. Some design elements, such as task allocation, become emergent properties that cannot be fully controlled from the top…

General Economics · Economics 2023-01-03 Stephan Leitner

We analyze the delegation of pricing by participants, representing firms, to a collusive, self-learning algorithm in a repeated Bertrand experiment. In the baseline treatment, participants set prices themselves. In the other treatments,…

General Economics · Economics 2025-11-03 Hans-Theo Normann , Nina Rulié , Olaf Stypa , Tobias Werner

We investigate a multi-agent decision-making problem where a large population of agents is responsible for carrying out a set of assigned tasks. The amount of jobs in each task varies over time governed by a dynamical system model. Each…

Systems and Control · Electrical Eng. & Systems 2023-09-19 Shinkyu Park , Julian Barreiro-Gomez

An important question in economics is how people choose between different payments in the future. The classical normative model predicts that a decision maker discounts a later payment relative to an earlier one by an exponential function…

Theoretical Economics · Economics 2020-01-09 Alexander T. I. Adamou , Yonatan Berman , Diomides P. Mavroyiannis , Ole B. Peters

This paper studies continuous-time optimal contracting in a hierarchy problem which generalises the model of Sung (2015). The hierarchy is modeled by a series of interlinked principal-agent problems, leading to a sequence of Stackelberg…

Optimization and Control · Mathematics 2020-07-22 Emma Hubert

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

This chapter examines the link between delegation and lobbying, two themes central to political economy. Delegation models explore how legislatures manage uncertainty and control bureaucratic agents, while lobbying models analyze how…

Theoretical Economics · Economics 2025-11-24 Thomas Groll , Sharyn O'Halloran

This paper characterizes optimal classification when individuals adjust their behavior in response to the classification rule. We model the interaction between a designer and a population as a Stackelberg game: the designer selects a…

Computer Science and Game Theory · Computer Science 2026-01-16 Elizabeth Maggie Penn , John W. Patty

Multi-agent systems (MAS) are increasingly applied to complex task allocation in two-sided markets, where agents such as companies and customers interact dynamically. Traditional company-led Stackelberg game models, where companies set…

Computer Science and Game Theory · Computer Science 2025-01-24 Jianglin Qiao , Zehong Cao , Dave de Jonge , Ryszard Kowalczyk

We study the effect of interim feedback policies in a dynamic all-pay auction where two players bid over two stages to win a common-value prize. We show that sequential equilibrium outcomes are characterized by Cheapest Signal Equilibria,…

Theoretical Economics · Economics 2025-10-28 Sumit Goel , Yiqing Yan , Jeffrey Zeidel

We study a recently proposed model in which an odd number of agents are competing to be in the minority. The agents have one strategy in hand which is to follow the most recent history. Each agent is also assigned a value p, which is the…

Condensed Matter · Physics 2009-10-31 P. M. Hui , T. S. Lo , N. F. Johnson

This article considers a problem arising from a two-player game based on the classical secretary problem. First, Player 1 selects one object from a sequence as in the secretary problem. All of the other objects are then presented to Player…

Computer Science and Game Theory · Computer Science 2024-09-09 David Ramsey

Autocurricular training is an important sub-area of multi-agent reinforcement learning~(MARL) that allows multiple agents to learn emergent skills in an unsupervised co-evolving scheme. The robotics community has experimented autocurricular…

Artificial Intelligence · Computer Science 2023-05-09 Boling Yang , Liyuan Zheng , Lillian J. Ratliff , Byron Boots , Joshua R. Smith