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In this paper we study variations of the standard Hotelling-Downs model of spatial competition, where each agent attracts the clients in a restricted neighborhood, each client randomly picks one attractive agent for service. Two utility…

Computer Science and Game Theory · Computer Science 2016-11-21 Weiran Shen , Zihe Wang

This paper aims to reduce the communication and computation costs of the Nash equilibrium seeking strategy for the $N$-coalition noncooperative games proposed in [1]. The objective is achieved in two manners: 1. An interference graph is…

Optimization and Control · Mathematics 2019-06-05 Maojiao Ye , Guoqiang Hu , Frank L. Lewis , Lihua Xie

This paper investigates the equilibrium convergence properties of a proposed algorithm for potential games with continuous strategy spaces in the presence of feedback delays, a main challenge in multi-agent systems that compromises the…

Optimization and Control · Mathematics 2023-03-20 Yuanhanqing Huang , Jianghai Hu

Chinese auctions are a combination between a raffle and an auction and are held in practice at charity events or festivals. In a Chinese auction, multiple players compete for several items by buying tickets, which can be used to win the…

Computer Science and Game Theory · Computer Science 2012-09-04 Simina Brânzei , Clara Forero , Kate Larson , Peter Bro Miltersen

The game of \emph{Showcase Showdown} with unlimited spins is investigated as an $n$-players continuous game, and the Nash Equilibrium strategies for the players are obtained. The sequential game with information on the results of the…

Optimization and Control · Mathematics 2025-04-15 L. Bayón , P. Fortuny ayuso , J. M. Grau , A. M. Oller-Marcén , M. M Ruíz

We consider a single buyer with a combinatorial preference that would like to purchase related products and services from different vendors, where each vendor supplies exactly one product. We study the general case where subsets of products…

Computer Science and Game Theory · Computer Science 2014-01-09 Moshe Babaioff , Noam Nisan , Renato Paes Leme

In this paper, a multi-cluster game with high-order players is investigated. Different from the well-known multi-cluster games, the dynamics of players are taken into account in our problem. Due to the high-order dynamics of players,…

Systems and Control · Electrical Eng. & Systems 2021-06-28 Zhenhua Deng , Yangyang Liu

Having fixed capacities, homogeneous products and price sensitive customer purchase decision are primary distinguishing characteristics of numerous revenue management systems. Even with two or three rivals, competition is still highly…

Theoretical Economics · Economics 2022-08-08 Niloofar Fadavi

We consider two classes of constrained finite state-action stochastic games. First, we consider a two player nonzero sum single controller constrained stochastic game with both average and discounted cost criterion. We consider the same…

Optimization and Control · Mathematics 2012-06-11 Vikas Vikram Singh , N. Hemachandra

Systems and blockchains often have security vulnerabilities and can be attacked by adversaries, with potentially significant negative consequences. Therefore, infrastructure providers increasingly rely on bug bounty programs, where external…

Theoretical Economics · Economics 2023-09-06 Hans Gersbach , Akaki Mamageishvili , Fikri Pitsuwan

We study the optimal auction design problem when bidders' preferences follow the maxmin expected utility model. We suppose that each bidder's set of priors consists of beliefs close to the seller's belief, where "closeness" is defined by a…

Theoretical Economics · Economics 2021-10-19 Sosung Baik , Sung-Ha Hwang

We propose a new dynamics for equilibrium selection of finite player discrete strategy games. The dynamics is motivated by optimal transportation, and models individual players' myopicity, greedy and uncertainty when making decisions. The…

Optimization and Control · Mathematics 2017-07-26 Shui-Nee Chow , Wuchen Li , Jun Lu , Haomin Zhou

Internet search companies sell advertisement slots based on users' search queries via an auction. While there has been a lot of attention on the auction process and its game-theoretic aspects, our focus is on the advertisers. In particular,…

Data Structures and Algorithms · Computer Science 2007-05-23 Jon Feldman , S. Muthukrishnan , Martin Pal , Cliff Stein

Following the risk-taking model of Seel and Strack, $n$ players decide when to stop privately observed Brownian motions with drift and absorption at zero. They are then ranked according to their level of stopping and paid a rank-dependent…

Optimization and Control · Mathematics 2021-11-09 Marcel Nutz , Yuchong Zhang

We review typical design problems encountered in the planning of observational studies and propose a unifying framework that allows us to use the same concepts and notation for different problems. In the framework, the design is defined as…

Statistics Theory · Mathematics 2017-11-02 Juha Karvanen , Jarno Vanhatalo , Kari Auranen , Sangita Kulathinal , Samu Mäntyniemi

We analyse the computational complexity of finding Nash equilibria in simple stochastic multiplayer games. We show that restricting the search space to equilibria whose payoffs fall into a certain interval may lead to undecidability. In…

Computer Science and Game Theory · Computer Science 2010-06-24 Michael Ummels , Dominik Wojtczak

I study sequential contests where the efforts of earlier players may be disclosed to later players by nature or by design. The model has a range of applications, including rent seeking, R&D, oligopoly, public goods provision, and tragedy of…

Computer Science and Game Theory · Computer Science 2021-02-22 Toomas Hinnosaar

We consider a game where a finite number of retailers choose a location, given that their potential consumers are distributed on a network. Retailers do not compete on price but only on location, therefore each consumer shops at the closest…

Computer Science and Game Theory · Computer Science 2019-01-03 Gaëtan Fournier , Marco Scarsini

Strategic classification studies the design of a classifier robust to the manipulation of input by strategic individuals. However, the existing literature does not consider the effect of competition among individuals as induced by the…

Computer Science and Game Theory · Computer Science 2022-02-23 Lydia T. Liu , Nikhil Garg , Christian Borgs

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
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