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We consider a market in which both suppliers and consumers compete for a product via scalar-parameterized supply offers and demand bids. Scalar-parameterized offers/bids are appealing due to their modeling simplicity and desirable…

General Economics · Economics 2020-03-04 Mariola Ndrio , Khaled Alshehri , Subhonmesh Bose

When agents trade in a Duality-based Cost Function prediction market, they collectively implement the learning algorithm Follow-The-Regularized-Leader. We ask whether other learning algorithms could be used to inspire the design of…

Machine Learning · Computer Science 2025-05-08 Enrique Nueve , Bo Waggoner

Within this work we consider an axiomatic framework for Automated Market Makers (AMMs). AMMs are smart contracts that set prices for swaps on a pool of assets. By imposing reasonable axioms on the underlying utility function, we are able to…

Mathematical Finance · Quantitative Finance 2025-02-04 Maxim Bichuch , Zachary Feinstein

We develop subgradient- and gradient-based methods for minimizing strongly convex functions under a notion which generalizes the standard Euclidean strong convexity. We propose a unifying framework for subgradient methods which yields two…

Optimization and Control · Mathematics 2016-08-19 Masaru Ito

Although both data availability and the demand for accurate forecasts are increasing, collaboration between stakeholders is often constrained by data ownership and competitive interests. In contrast to recent proposals within cooperative…

Machine Learning · Computer Science 2026-05-14 Michael Vitali , Pierre Pinson

Although the specific structures of electricity markets are diverse around the world, they were all conceived on the premise of predictable, controllable generation with nonnegligible marginal costs. Recent changes, specifically, the…

Computer Science and Game Theory · Computer Science 2020-12-10 Orcun Karaca

We study a unified framework for optimization problems defined on dual-modular instances, where the input comprises a finite ground set $V$ and two set functions: a monotone supermodular reward function $\f$ and a strictly monotone…

Discrete Mathematics · Computer Science 2025-05-27 T-H. Hubert Chan , Shinuo Ma

The question of pricing and hedging a given contingent claim has a unique solution in a complete market framework. When some incompleteness is introduced, the problem becomes however more difficult. Several approaches have been adopted in…

Probability · Mathematics 2007-08-08 Pauline Barrieu , Nicole El Karoui

Starting from the Avellaneda-Stoikov framework, we consider a market maker who wants to optimally set bid/ask quotes over a finite time horizon, to maximize her expected utility. The intensities of the orders she receives depend not only on…

Trading and Market Microstructure · Quantitative Finance 2020-06-29 Diego Zabaljauregui , Luciano Campi

Optimizing the design of complex systems requires navigating interdependent decisions, heterogeneous components, and multiple objectives. Our monotone theory of co-design offers a compositional framework for addressing this challenge,…

Systems and Control · Electrical Eng. & Systems 2025-08-13 Yujun Huang , Marius Furter , Gioele Zardini

Market equilibria of matching markets offer an intuitive and fair solution for matching problems without money with agents who have preferences over the items. Such a matching market can be viewed as a variation of Fisher market, albeit…

Computer Science and Game Theory · Computer Science 2017-04-03 Saeed Alaei , Pooya Jalaly , Eva Tardos

We propose a novel decomposition framework for the distributed optimization of general nonconvex sum-utility functions arising naturally in the system design of wireless multiuser interfering systems. Our main contributions are: i) the…

Information Theory · Computer Science 2016-11-18 Gesualdo Scutari , Francisco Facchinei , Peiran Song , Daniel P. Palomar , Jong-Shi Pang

Strategic bidding problems in electricity markets are widely studied in power systems, often by formulating complex bi-level optimization problems that are hard to solve. The state-of-the-art approach to solve such problems is to…

Optimization and Control · Mathematics 2016-06-21 Mahdi Ghamkhari , Ashkan Sadeghi-Mobarakeh , Hamed Mohsenian-Rad

Sustainable financial markets play an important role in the functioning of human society. Still, the detection and prediction of risk in financial markets remain challenging and draw much attention from the scientific community. Here we…

Physics and Society · Physics 2018-11-27 Jingfang Fan , Keren Cohen , Louis M. Shekhtman , Sibo Liu , Jun Meng , Yoram Louzoun , Shlomo Havlin

This paper develops a unified framework for zero-sum games in which both the pure strategies and the payoff matrices contain complex-valued entries. By leveraging a linear isomorphism between complex and real vector spaces, we extend key…

General Mathematics · Mathematics 2026-05-21 Raneem Madani , Abdel Lisser , Zeno Toffano

This paper introduces Bayesian frameworks for tackling various aspects of multi-criteria decision-making (MCDM) problems, leveraging a probabilistic interpretation of MCDM methods and challenges. By harnessing the flexibility of Bayesian…

Artificial Intelligence · Computer Science 2025-08-08 Majid Mohammadi

Latent variable models have been playing a central role in psychometrics and related fields. In many modern applications, the inference based on latent variable models involves one or several of the following features: (1) the presence of…

Methodology · Statistics 2025-01-08 Siliang Zhang , Yunxiao Chen

Dynamic multi-objective optimization (DMOO) has recently attracted increasing interest from both academic researchers and engineering practitioners, as numerous real-world applications that evolve over time can be naturally formulated as…

Neural and Evolutionary Computing · Computer Science 2026-01-06 Chang Shao , Qi Zhao , Nana Pu , Shi Cheng , Jing Jiang , Yuhui Shi

This paper considers two important problems -- on the supply-side and demand-side respectively and studies both in a unified framework. On the supply side, we study the problem of energy sharing among microgrids with the goal of maximizing…

Systems and Control · Electrical Eng. & Systems 2019-07-09 Diddigi Raghuram Bharadwaj , Sai Koti Reddy Danda , Krishnasuri Narayanam , Shalabh Bhatnagar

Designing automated market makers (AMMs) for prediction markets on combinatorial securities over large outcome spaces poses significant computational challenges. Prior research has primarily focused on combinatorial prediction markets…

Computer Science and Game Theory · Computer Science 2024-11-15 Prommy Sultana Hossain , Xintong Wang , Fang-Yi Yu