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In this paper a unifying energy-based approach is provided to the modeling and stability analysis of power systems coupled with market dynamics. We consider a standard model of the power network with a third-order model for the synchronous…

Optimization and Control · Mathematics 2016-07-28 Tjerk Stegink , Claudio De Persis , Arjan van der Schaft

Batch auctions are a classical market microstructure, acclaimed for their fairness properties, and have received renewed interest in the context of blockchain-based financial systems. Constant function market makers (CFMMs) are another…

Computer Science and Game Theory · Computer Science 2024-06-24 Geoffrey Ramseyer , Mohak Goyal , Ashish Goel , David Mazières

Extant literature on fair pricing methods for actuarial contexts has primarily focused on the regression setting. While such approaches are well-suited to short-term products, it is unclear how they generalize to long-term products, whose…

Pricing of Securities · Quantitative Finance 2026-02-05 Hong Beng Lim , Mengyi Xu , Kenneth Q. Zhou

The rise of the machine learning (ML) model economy has intertwined markets for training datasets and pre-trained models. However, most pricing approaches still separate data and model transactions or rely on broker-centric pipelines that…

Machine Learning · Computer Science 2026-05-12 Hongrun Ren , Yun Xiong , Lei You , Yingying Wang , Haixu Xiong , Yangyong Zhu

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 present a unified approach for learning the parameters of Sum-Product networks (SPNs). We prove that any complete and decomposable SPN is equivalent to a mixture of trees where each tree corresponds to a product of univariate…

Machine Learning · Computer Science 2016-08-29 Han Zhao , Pascal Poupart , Geoff Gordon

We present a conceptual framework that unifies a variety of evaluation metrics for different structured prediction tasks (e.g. event and relation extraction, syntactic and semantic parsing). Our framework requires representing the outputs…

Computation and Language · Computer Science 2023-10-24 Yunmo Chen , William Gantt , Tongfei Chen , Aaron Steven White , Benjamin Van Durme

This paper introduces Capability-Priced Micro-Markets (CPMM), a micro-economic framework designed to enable robust, scalable, and secure commerce among autonomous AI agents on the agentic web. The framework addresses the fundamental…

We introduce a class of utility-based market makers that always accept orders at their risk-neutral prices. We derive necessary and sufficient conditions for such market makers to have bounded loss. We prove that hyperbolic absolute risk…

Computer Science and Game Theory · Computer Science 2012-10-16 Yiling Chen , David M Pennock

The system operator's scheduling problem in electricity markets, called unit commitment, is a non-convex mixed-integer program. The optimal value function is non-convex, preventing the application of traditional marginal pricing theory to…

General Economics · Economics 2024-10-03 Conleigh Byers , Brent Eldridge

In this paper we propose a general algorithmic framework for first-order methods in optimization in a broad sense, including minimization problems, saddle-point problems and variational inequalities. This framework allows to obtain many…

A wide range of price-based congestion management schemes were proposed in the literature ranging from marginal cost road pricing to trip based multimodal pricing. The underlying models were formulated under different theoretical…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Ennio Cascetta , Marcello Montanino

Modern market management systems continue to evolve due to the intentions to improve system security and reliability. This evolvement has been leading to a transition of market auction models from a deterministic structure with…

Systems and Control · Electrical Eng. & Systems 2021-02-22 Mohammad Ghaljehei , Mojdeh Khorsand

We present a possible kind of generalization of the notion of ordered pairs of cyclic maps and coupled fixed points and its application in modelling of equilibrium in oligopoly markets. We have obtained sufficient conditions for the…

Optimization and Control · Mathematics 2020-09-11 Yulia Dzhabarova , Stanimir Kabaivanov , Margarita Ruseva , Boyan Zlatanov

While globally optimal solutions to many convex programs can be computed efficiently in polynomial time, this is, in general, not possible for nonconvex optimization problems. Therefore, locally optimal approaches or other efficient…

Information Theory · Computer Science 2020-07-03 Bho Matthiesen , Christoph Hellings , Eduard A. Jorswieck , Wolfgang Utschick

In this paper we present a framework for risk-sensitive model predictive control (MPC) of linear systems affected by stochastic multiplicative uncertainty. Our key innovation is to consider a time-consistent, dynamic risk evaluation of the…

Optimization and Control · Mathematics 2018-04-26 Sumeet Singh , Yin-Lam Chow , Anirudha Majumdar , Marco Pavone

Ensuring sufficient liquidity is one of the key challenges for designers of prediction markets. Various market making algorithms have been proposed in the literature and deployed in practice, but there has been little effort to evaluate…

Trading and Market Microstructure · Quantitative Finance 2010-09-09 Aseem Brahma , Sanmay Das , Malik Magdon-Ismail

This paper introduces a novel framework for designing fair and sustainable unemployment benefits, grounded in cooperative game theory and real-time fiscal policy. The labor market is modeled as a coalitional game, where a random subset of…

General Finance · Quantitative Finance 2025-12-15 Xingwei Hu

Nonconvexities in markets with discrete decisions and nonlinear constraints make efficient pricing challenging, often necessitating subsidies. A prime example is the unit commitment (UC) problem in electricity markets, where costly…

Optimization and Control · Mathematics 2026-02-18 Cheng Guo , Lauren Henderson , Ryan Cory-Wright , Boshi Yang

We formalize the problem of maximizing the mean-payoff value with high probability while satisfying a parity objective in a Markov decision process (MDP) with unknown probabilistic transition function and unknown reward function. Assuming…

Artificial Intelligence · Computer Science 2018-08-24 Jan Křetínský , Guillermo A. Pérez , Jean-François Raskin