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We consider a discrete population of users with homogeneous service demand who need to decide when to arrive to a system in which the service rate deteriorates linearly with the number of users in the system. The users have heterogeneous…

Computer Science and Game Theory · Computer Science 2016-05-30 Liron Ravner , Moshe Haviv , Hai L. Vu

Consider a population of customers each of which needs to decide independently when to arrive to a facility that provides a service during a fixed period of time, say a day. This is a common scenario in many service systems such as a bank,…

Computer Science and Game Theory · Computer Science 2021-07-27 Moshe Haviv , Liron Ravner

We study a fundamental model of resource allocation in which a finite number of resources must be assigned in an online manner to a heterogeneous stream of customers. The customers arrive randomly over time according to known stochastic…

Optimization and Control · Mathematics 2018-05-16 Clifford Stein , Van-Anh Truong , Xinshang Wang

We consider a number of questions related to tradeoffs between reward and regret in repeated gameplay between two agents. To facilitate this, we introduce a notion of $\textit{generalized equilibrium}$ which allows for asymmetric regret…

Computer Science and Game Theory · Computer Science 2023-12-19 William Brown , Jon Schneider , Kiran Vodrahalli

We study a class of location games where players want to attract as many resources as possible and pay a cost when deviating from an exogenous reference location. This class of games includes political competitions between policy-interested…

Computer Science and Game Theory · Computer Science 2022-07-29 Fournier Gaëtan , Francou Amaury

This paper studies a setting in which multiple suppliers compete for a buyer's procurement business. The buyer faces uncertain demand and there is a requirement to reserve capacity in advance of knowing the demand. Each supplier has costs…

Computer Science and Game Theory · Computer Science 2019-05-28 Edward Anderson , Bo Chen , Lusheng Shao

Ubiquitous mobile computing have enabled ride-hailing services to collect vast amounts of behavioral data of riders and drivers and optimize supply and demand matching in real time. While these mobility service providers have some degree of…

Machine Learning · Computer Science 2021-02-16 Takuma Oda

We compute equilibrium strategies in multi-stage games with continuous signal and action spaces as they are widely used in the management sciences and economics. Examples include sequential sales via auctions, multi-stage elimination…

Computer Science and Game Theory · Computer Science 2024-07-23 Fabian R. Pieroth , Nils Kohring , Martin Bichler

In practice, most auction mechanisms are not strategy-proof, so equilibrium analysis is required to predict bidding behavior. In many auctions, though, an exact equilibrium is not known and one would like to understand whether -- manually…

Computer Science and Game Theory · Computer Science 2024-08-22 Fabian R. Pieroth , Tuomas Sandholm

Motivated by applications in service systems, we consider queueing systems where each customer must be handled by a server with the right skill set. We focus on optimizing the routing of customers to servers in order to maximize the total…

Machine Learning · Computer Science 2024-12-16 Sanne van Kempen , Jaron Sanders , Fiona Sloothaak , Maarten G. Wolf

We study a class of two-player repeated games with incomplete information and informational externalities. In these games, two states are chosen at the outset, and players get private information on the pair, before engaging in repeated…

Probability · Mathematics 2010-07-27 Dinah Rosenberg , Eilon Solan , Nicolas Vieille

This paper considers games where the utilities for agents are the sum of a term proportional to a social utility, and another term that is an individual cost or reward. The agents are assumed to be irrational in their perception of the…

Computer Science and Game Theory · Computer Science 2026-05-21 Ashok Krishnan K. S. , Helene Le Cadre , Ana Busic

We study selfish routing games where users can choose between regular and priority service for each network edge on their chosen path. Priority users pay an additional fee, but in turn they may travel the edge prior to non-priority users,…

Computer Science and Game Theory · Computer Science 2026-02-09 Yang Li , Alexander Skopalik , Marc Uetz

We consider a Markovian clearing queueing system, where the customers are accumulated according to a Poisson arrival process and the server removes all present customers at the completion epochs of exponential service cycles. This system…

Optimization and Control · Mathematics 2011-12-26 Antonis Economou , Athanasia Manou

We consider the simplified model of strategic allocation of trajectories in the airspace presented in a previous publication. Two types of companies, characterized by different cost functions, compete for allocation of trajectories in the…

Physics and Society · Physics 2016-10-14 Gérald Gurtner , Fabrizio Lillo

We consider the problem of scheduling in multi-class, parallel-server queuing systems with uncertain rewards from job-server assignments. In this scenario, jobs incur holding costs while awaiting completion, and job-server assignments yield…

Machine Learning · Computer Science 2025-08-15 Jung-hun Kim , Milan Vojnovic

Existing settings of decentralized learning either require players to have full information or the system to have certain special structure that may be hard to check and hinder their applicability to practical systems. To overcome this, we…

Systems and Control · Electrical Eng. & Systems 2023-05-17 Yan Jiang , Wenqi Cui , Baosen Zhang , Jorge Cortés

We consider the problem in which n items arrive to a market sequentially over time, where two agents compete to choose the best possible item. When an agent selects an item, he leaves the market and obtains a payoff given by the value of…

Computer Science and Game Theory · Computer Science 2022-04-12 Fabien Gensbittel , Dana Pizarro , Jérôme Renault

We consider a basic resource allocation game, where the players' strategy spaces are subsets of $R^m$ and cost/utility functions are parameterized by some common vector $u\in R^m$ and, otherwise, only depend on the own strategy choice. A…

Computer Science and Game Theory · Computer Science 2020-02-24 Tobias Harks

We consider a discrete-time system comprising a first-come-first-served queue, a non-preemptive server, and a stationary non-work-conserving scheduler. New tasks enter the queue according to a Bernoulli process with a pre-specified arrival…

Applications · Statistics 2020-08-05 Michael Lin , Nuno C. Martins , Richard J. La