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We investigate stochastic differential games of optimal trading comprising a finite population. There are market frictions in the present framework, which take the form of stochastic permanent and temporary price impacts. Moreover,…

Mathematical Finance · Quantitative Finance 2021-02-09 David Evangelista , Yuri Thamsten

In this paper we deal with linear production situations in which there is a limited common-pool resource, managed by an external agent. The profit that a producer, or a group of producers, can attain depends on the amount of common-pool…

Optimization and Control · Mathematics 2019-12-09 Elisabeth Gutierrez , Natividad Llorca , Joaquin Sanchez-Soriano , Manuel Mosquera

We study whether simple algorithmic pricing systems can systematically produce collusive-like prices in multi-firm markets. We consider firms using an explore-then-exploit pipeline: they randomize prices during an initial exploration phase,…

Computer Science and Game Theory · Computer Science 2026-05-18 Jackie Baek , Vivek F. Farias , Farrell Wu

According to the fundamental theorems of welfare economics, any competitive equilibrium is Pareto efficient. Unfortunately, competitive equilibrium prices only exist under strong assumptions such as perfectly divisible goods and convex…

Computer Science and Game Theory · Computer Science 2023-05-24 Mete Şeref Ahunbay , Martin Bichler , Johannes Knörr

We study the economic interactions among sellers and buyers in online markets. In such markets, buyers have limited information about the product quality, but can observe the sellers' reputations which depend on their past transaction…

Computer Science and Game Theory · Computer Science 2021-03-31 Qian Ma , Jianwei Huang , Tamer Başar , Ji Liu , Xudong Chen

We consider existence and uniqueness of Nash equilibria in an $N$-player game of utility maximization under relative performance criteria of multiplicative form in complete semimartingale markets. For a large class of players' utility…

Mathematical Finance · Quantitative Finance 2023-03-15 Anastasiya Tanana

We introduce a game model called "customer attraction game" to demonstrate the competition among online content providers. In this model, customers exhibit interest in various topics. Each content provider selects one topic and benefits…

Computer Science and Game Theory · Computer Science 2024-10-11 Xiaotie Deng , Hangxin Gan , Ningyuan Li , Weian Li , Qi Qi

We study scenarios where multiple sellers of a homogeneous good compete on prices, where each seller can only sell to some subset of the buyers. Crucially, sellers cannot price-discriminate between buyers. We model the structure of the…

Computer Science and Game Theory · Computer Science 2013-11-12 Moshe Babaioff , Brendan Lucier , Noam Nisan

In recent years, data has played an increasingly important role in the economy as a good in its own right. In many settings, data aggregators cannot directly verify the quality of the data they purchase, nor the effort exerted by data…

Computer Science and Game Theory · Computer Science 2019-04-30 Tyler Westenbroek , Roy Dong , Lillian J. Ratliff , S. Shankar Sastry

We investigate a portfolio selection problem involving multi competitive agents, each exhibiting mean-variance preferences. Unlike classical models, each agent's utility is determined by their relative wealth compared to the average wealth…

Optimization and Control · Mathematics 2025-11-10 Guojiang Shao , Zuo Quan Xu , Qi Zhang

Data heterogeneity across multiple sources is common in real-world machine learning (ML) settings. Although many methods focus on enabling a single model to handle diverse data, real-world markets often comprise multiple competing ML…

Computer Science and Game Theory · Computer Science 2025-05-13 Renzhe Xu , Kang Wang , Bo Li

Much work has been done on the computation of market equilibria. However due to strategic play by buyers, it is not clear whether these are actually observed in the market. Motivated by the observation that a buyer may derive a better…

Computer Science and Game Theory · Computer Science 2015-05-18 Bharat Adsul , Ch. Sobhan Babu , Jugal Garg , Ruta Mehta , Milind Sohoni

We propose a general class of symmetric games called position-optimization games. Given a probability distribution $Q$ over a set of targets $\mathcal{Y}$, the $n$ players each choose a position in a space $\mathcal{X}$. A player's utility…

Computer Science and Game Theory · Computer Science 2026-02-18 Rafael Frongillo , Melody Hsu , Mary Monroe , Anish Thilagar

We study how storage, operating as a price maker within a market environment, may be optimally operated over an extended period of time. The optimality criterion may be the maximisation of the profit of the storage itself, where this profit…

Optimization and Control · Mathematics 2016-06-20 James Cruise , Lisa Flatley , Stan Zachary

We consider a peer-to-peer electricity market, where agents hold private information that they might not want to share. The problem is modeled as a noncooperative communication game, which takes the form of a Generalized Nash Equilibrium…

Computer Science and Game Theory · Computer Science 2021-01-19 Ilia Shilov , Hélène Le Cadre , Ana Bušic

Frequent violations of fair principles in real-life settings raise the fundamental question of whether such principles can guarantee the existence of a self-enforcing equilibrium in a free economy. We show that elementary principles of…

Theoretical Economics · Economics 2021-07-28 Ghislain H. Demeze-Jouatsa , Roland Pongou , Jean-Baptiste Tondji

Power system operators and electric utility companies often impose a coincident peak demand charge on customers when the aggregate system demand reaches its maximum. This charge incentivizes customers to strategically shift their peak usage…

Systems and Control · Electrical Eng. & Systems 2025-05-16 Liudong Chen , Jay Sethuraman , Bolun Xu

In this paper, we consider microgrids that interconnect prosumers with distributed energy resources and dynamic loads. Prosumers are connected through the microgrid to trade energy and gain profit while respecting the network constraints.…

Systems and Control · Electrical Eng. & Systems 2024-02-07 Zeinab Salehi , Yijun Chen , Ian R. Petersen , Elizabeth L. Ratnam , Guodong Shi

We study a mean field game problem arising from the production control for multiple firms with price stickiness in the commodity market. The price dynamics for each firm is described as a (controlled) jump-diffusion process with mean-field…

Optimization and Control · Mathematics 2022-04-08 Chunmei Jiang , Tongqing Li , Jie Yu

We study mixed bundling and competitive price-matching guarantees (PMGs) in a duopoly selling complementary products to heterogeneous customers. One retailer offers mixed bundling while the rival sells only a bundle. We characterize unique…

Theoretical Economics · Economics 2026-01-23 Esmat Sangari , Rajni Kant Bansal