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This paper explores the gain maximization problem of two nations engaging in non-cooperative bilateral trade. Probabilistic model of an exchange of commodities under different price systems is considered. Volume of commodities exchanged…

Theoretical Economics · Economics 2020-01-09 Tsotne Kutalia , Revaz Tevzadze

This paper investigates the synthesis of distributed economic control algorithms under which dynamically coupled physical systems are regulated to a variational equilibrium of a constrained convex game. We study two complementary cases: (i)…

Optimization and Control · Mathematics 2021-08-25 Yang Lu , Minghui Zhu

Motivated by applications to word-of-mouth advertising, we consider a game-theoretic scenario in which competing advertisers want to target initial adopters in a social network. Each advertiser wishes to maximize the resulting cascade of…

Computer Science and Game Theory · Computer Science 2014-03-26 Allan Borodin , Mark Braverman , Brendan Lucier , Joel Oren

A competing market model with a polyvariant profit function that assumes "zeitnot" stock behavior of clients is formulated within the banking portfolio medium and then analyzed from the perspective of devising optimal strategies. An…

Portfolio Management · Quantitative Finance 2010-05-18 Bohdan Yu. Kyshakevych , Anatoliy K. Prykarpatsky , Denis Blackmore , Ivan P. Tverdokhlib

From a perspective of designing or engineering for opinion formation games in social networks, the "opinion maximization (or minimization)" problem has been studied mainly for designing subset selecting algorithms. We define a two-player…

Computer Science and Game Theory · Computer Science 2022-12-20 Po-An Chen , Chi-Jen Lu , Chuang-Chieh Lin , Ke-Wei Fu

This paper studies the pool strategy for price-makers under imperfect information. In this occasion, market participants cannot obtain essential transmission parameters of the power system. Thus, price-makers should estimate the market…

Systems and Control · Electrical Eng. & Systems 2024-11-25 Kedi Zheng , Hongye Guo , Qixin Chen

This paper proposes a novel approach to resilient distributed optimization with quadratic costs in a networked control system (e.g., wireless sensor network, power grid, robotic team) prone to external attacks (e.g., hacking, power outage)…

Systems and Control · Electrical Eng. & Systems 2025-02-11 Luca Ballotta , Giacomo Como , Jeff S. Shamma , Luca Schenato

We consider the problem of allocating indivisible goods in a way that is fair, using one of the leading market mechanisms in economics: the competitive equilibrium from equal incomes. Focusing on two major classes of valuations, namely…

Computer Science and Game Theory · Computer Science 2016-07-19 Simina Brânzei , Hadi Hosseini , Peter Bro Miltersen

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 many problems, the inputs arrive over time, and must be dealt with irrevocably when they arrive. Such problems are online problems. A common method of solving online problems is to first solve the corresponding linear program, and then…

Data Structures and Algorithms · Computer Science 2012-04-04 Umang Bhaskar , Lisa Fleischer

This paper examines multiplayer symmetric constant-sum games with more than two players in a competitive setting, including examples like Mahjong, Poker, and various board and video games. In contrast to two-player zero-sum games,…

Machine Learning · Computer Science 2024-10-04 Jiawei Ge , Yuanhao Wang , Wenzhe Li , Chi Jin

In this paper, we investigate the coordination of autonomous devices with non-aligned utility functions. Both encoder and decoder are considered as players, that choose the encoding and the decoding in order to maximize their long-run…

Information Theory · Computer Science 2017-11-15 Maël Le Treust , Tristan Tomala

Two-vehicle racing is natural example of a competitive dynamic game. As with most dynamic games, there are many ways in which the underlying solution concept can be structured, resulting in different equilibrium concepts. The assumed…

Computer Science and Game Theory · Computer Science 2025-03-11 Andrew Cinar , Forrest Laine

Building on the macroscopic market making framework as a control problem, this paper investigates its extension to stochastic games. In the context of price competition, each agent is benchmarked against the best quote offered by the…

Trading and Market Microstructure · Quantitative Finance 2025-10-14 Ivan Guo , Shijia Jin

Reinforcement learning-based methods for constructing solutions to combinatorial optimization problems are rapidly approaching the performance of human-designed algorithms. To further narrow the gap, learning-based approaches must…

Machine Learning · Computer Science 2025-10-07 André Hottung , Mridul Mahajan , Kevin Tierney

In this article, we consider a fundamental decentralized optimal control problem, which we call the two-player problem. Two subsystems are interconnected in a nested information pattern, and output feedback controllers must be designed for…

Systems and Control · Computer Science 2015-07-10 Laurent Lessard , Sanjay Lall

A retailer is purchasing goods in bundles from suppliers and then selling these goods in bundles to customers; her goal is to maximize profit, which is the revenue obtained from selling goods minus the cost of purchasing those goods. In…

Data Structures and Algorithms · Computer Science 2025-08-01 Yossi Azar , Niv Buchbinder , Roie Levin , Or Vardi

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

The ability of a deterministic, plastic system to learn to imitate stochastic behavior is analyzed. Two neural networks -actually, two perceptrons- are put to play a zero-sum game one against the other. The competition, by acting as a kind…

Disordered Systems and Neural Networks · Physics 2009-10-31 I. Samengo , D. H. Zanette

Bilevel programming problems are often found in practice. In this paper, we handle one such bilevel application problem from the domain of environmental economics. The problem is a Stakelberg game with multiple objectives at the upper…

Computer Science and Game Theory · Computer Science 2013-07-25 Ankur Sinha , Pekka Malo , Anton Frantsev , Kalyanmoy Deb