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We consider a model of priced resource sharing that combines both queueing behavior and strategic behavior. We study a priority service model where a single server allocates its capacity to agents in proportion to their payment to the…

Computer Science and Game Theory · Computer Science 2012-06-05 Yu Wu , Loc Bui , Ramesh Johari

Consider an unobservable $M|G|1$ queue with preemptive-resume scheduling and two priority classes. Customers are strategic and may join the premium class for a fee. We analyze the resulting equilibrium outcomes, equilibrium stability, and…

Computer Science and Game Theory · Computer Science 2020-03-03 Jonathan Chamberlain , David Starobinski

We consider a service system where agents (or, servers) are invited on-demand. Customers arrive as a Poisson process and join a customer queue. Customer service times are i.i.d. exponential. Agents' behavior is random in two respects.…

Probability · Mathematics 2016-09-09 Lam Nguyen , Alexander Stolyar

This paper revisits the Hotelling model with waiting costs Kohlberg (1983), focusing on two specific settings where pure Nash equilibria do not exist: the asymmetric model with two firms and the symmetric model with three firms. In the…

Theoretical Economics · Economics 2025-01-28 Joep van Sloun

Learning in zero-sum games studies a situation where multiple agents competitively learn their strategy. In such multi-agent learning, we often see that the strategies cycle around their optimum, i.e., Nash equilibrium. When a game…

Computer Science and Game Theory · Computer Science 2025-03-06 Yuma Fujimoto , Kaito Ariu , Kenshi Abe

In this work, we study the system of interacting non-cooperative two Q-learning agents, where one agent has the privilege of observing the other's actions. We show that this information asymmetry can lead to a stable outcome of population…

Machine Learning · Computer Science 2021-01-26 Ezra Tampubolon , Haris Ceribasic , Holger Boche

In a two node tandem network, customers decide to join or balk by maximizing a given profit function whose costs are proportional to the sojourn time they spend at each queue. Assuming that their choices are taken without knowing the…

Probability · Mathematics 2015-11-05 Bernardo D'Auria , Spyridoula Kanta

Firms (businesses, service providers, entertainment organizations, political parties, etc.) advertise on social networks to draw people's attention and improve their awareness of the brands of the firms. In all such cases, the competitive…

Computer Science and Game Theory · Computer Science 2026-03-17 Sayantika Mandal , Harman Agrawal , Swaprava Nath

In a many-to-one matching market, we analyze the matching game induced by a stable rule when firms' choice function satisfy substitutability. We show that any stable rule implements the individually rational correspondence in Nash…

Theoretical Economics · Economics 2024-04-29 Noelia Juarez , Paola B. Manasero , Jorge Oviedo

We study interactions with uncertainty about demand sensitivity. In our solution concept (1) firms choose seemingly-optimal strategies given the level of sophistication of their data analytics, and (2) the levels of sophistication form best…

Theoretical Economics · Economics 2021-04-06 Ron Berman , Yuval Heller

This paper develops a strategic model of trade between two regions in which, depending on the relation among output, financial resources and transportation costs, the adjustment of prices towards an equilibrium is studied. We derive…

Optimization and Control · Mathematics 2008-05-21 Iordan V. Iordanov , Stoyan V. Stoyanov , Andrey A. Vassilev

This paper is devoted to a high-dimensional mixed leadership stochastic differential game on a finite horizon in feedback information mode, where the control variables enter into the diffusion term of state equation. A verification theorem…

Optimization and Control · Mathematics 2022-11-28 Qi Huang , Jingtao Shi

We develop a model for pricing, lead-time quotation and delay compensation in a Markovian make-to-order production or service system with strategic customers who exhibit risk aversion. Based on a concave utility function of their net…

Optimization and Control · Mathematics 2019-11-07 Myron Benioudakis , Apostolos Burnetas , George Ioannou

We study the high-frequency limits of strategies and costs in a Nash equilibrium for two agents that are competing to minimize liquidation costs in a discrete-time market impact model with exponentially decaying price impact and quadratic…

Trading and Market Microstructure · Quantitative Finance 2018-10-23 Alexander Schied , Elias Strehle , Tao Zhang

This paper studies information asymmetry in an unobservable single-server queueing system. While system managers have knowledge of the true arrival rate, customers may lack this information and instead form arbitrary beliefs. We propose a…

Optimization and Control · Mathematics 2025-10-14 Shunan Zheng , John Hasenbein

Generating payoff matrices of normal-form games at random, we calculate the frequency of games with a unique pure strategy Nash equilibrium in the ensemble of $n$-player, $m$-strategy games. These are perfectly predictable as they must…

Theoretical Economics · Economics 2020-11-03 Samuel C. Wiese , Torsten Heinrich

In socio-technical multi-agent systems, deception exploits privileged information to induce false beliefs in "victims," keeping them oblivious and leading to outcomes detrimental to them or advantageous to the deceiver. We consider…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Michael Tang , Umar Javed , Xudong Chen , Miroslav Krstic , Jorge I. Poveda

We study the optimal pricing strategy of a monopolist selling homogeneous goods to customers over multiple periods. The customers choose their time of purchase to maximize their payoff that depends on their valuation of the product, the…

Computer Science and Game Theory · Computer Science 2018-06-28 Ali Makhdoumi , Azarakhsh Malekian , Asuman Ozdaglar

The convergence properties of learning dynamics in repeated auctions is a timely and important question, with numerous applications in, e.g., online advertising markets. This work focuses on repeated first-price auctions where bidders with…

Computer Science and Game Theory · Computer Science 2025-08-21 Xiaotie Deng , Xinyan Hu , Tao Lin , Weiqiang Zheng

As autonomous AI agents increasingly mediate online platform markets, a fundamental question emerges: do these markets generate stable strategic outcomes? In repeated strategic environments, the Nash equilibrium provides a natural benchmark…

Artificial Intelligence · Computer Science 2026-04-28 Enoch Hyunwook Kang
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