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We study the continuous time Kyle-Back model with a risk averse informed trader.We show that in a market with multiple assets and non-Gaussian prices an equilibrium exists. The equilibrium is constructed by considering a Fokker-Planck…

概率论 · 数学 2021-11-04 Shreya Bose , Ibrahim Ekren

This paper presents a formulation of the reactive dynamic user equilibrium problem in continuum form using a network-level Macroscopic Fundamental Diagram (MFD). Compared to existing continuum models for cities -- all based in Hughes'…

偏微分方程分析 · 数学 2020-08-25 Rafegh Aghamohammadi , Jorge A. Laval

We consider a sequential decision model over multi-tier supply chain networks and show that in particular, for series parallel networks, there is a unique equilibrium. We provide a linear time algorithm to compute the equilibrium and study…

计算机科学与博弈论 · 计算机科学 2020-09-29 Tao Jiang , Young-San Lin , Thanh Nguyen

The famous Afriat's theorem from the theory of revealed preferences establishes necessary and suffient conditions for existence of utility function for a given set of choices and prices. The result on existence of a {\it homogeneous}…

最优化与控制 · 数学 2014-05-27 Alexander V. Kolesnikov , Olga V. Kudryavtseva , Tigran Nagapetyan

Markovian network equilibrium generalizes the classical Wardrop equilibrium in network games. At a Markovian network equilibrium, each player of the game solves a Markov decision process instead of a shortest path problem. We propose two…

最优化与控制 · 数学 2021-10-19 Yue Yu , Dan Calderone , Sarah H. Q. Li , Lillian J. Ratliff , Behçet Açıkmeşe

Usability is a key quality attribute of successful software systems. Unfortunately, there is no common understanding of the factors influencing usability and their interrelations. Hence, the lack of a comprehensive basis for designing,…

人机交互 · 计算机科学 2016-12-15 Sebastian Winter , Stefan Wagner , Florian Deissenboeck

This study proposes a mixed logit model with multivariate nonparametric finite mixture distributions. The support of the distribution is specified as a high-dimensional grid over the coefficient space, with equal or unequal intervals…

计量经济学 · 经济学 2018-02-08 Akshay Vij , Rico Krueger

I introduce a stability notion, dynamic stability, for two-sided dynamic matching markets where (i) matching opportunities arrive over time, (ii) matching is one-to-one, and (iii) matching is irreversible. The definition addresses two…

理论经济学 · 经济学 2021-03-01 Laura Doval

A multi-dimensional switched system or multi-mode multi-dimensional ($M^3D$) system extends the classic switched system by allowing different subsystem dimensions. The stability problem of the $M^3D$ system, whose state transitions at…

系统与控制 · 电气工程与系统科学 2023-06-06 Mengqi Xue , Yang Tang , Wei Ren , Feng Qian

We study the problem of computing all Pareto-optimal journeys in a public transit network regarding the two criteria of arrival time and number of transfers taken. In recent years, great advances have been made in making public transit…

数据结构与算法 · 计算机科学 2021-09-30 Sascha Witt

We propose a simple statistical-physics-inspired model for the effect of intrinsic fluctuations on supply and demand in markets. The model consists of agents that trade in two types of goods of which the total number is separately…

物理与社会 · 物理学 2021-01-13 J. R. Mulder , René van Roij , R. A. Duine

We have used agent-based modeling as our numerical method to artificially simulate a dynamic real economy where agents are rational maximizers of an objective function of Cobb-Douglas type. The economy is characterised by heterogeneous…

理论经济学 · 经济学 2024-01-17 Subhamon Supantha , Naresh Kumar Sharma

We consider piecewise linear discrete time macroeconomic models, which possess a continuum of equilibrium states. These systems are obtained by replacing rational inflation expectations with a boundedly rational, and genuinely sticky,…

动力系统 · 数学 2017-11-22 Pavel Krejci , Harbir Lamba , Dmitrii Rachinskii

In mainstream neoclassical economics, utility maximization is the only engine of individual action, and the other or the social, if it is modeled for decisions deemed fundamental, it is done as a tacit externality parameter affecting an…

理论经济学 · 经济学 2026-02-24 Alfio Giarlotta , M. Ali Khan , Angelo Enrico Petralia , Francesco Reito

We propose a variational framework for nonequilibrium thermodynamics built around the effective number of accessible state, a multiplicative count that ranges from for a uniform distribution to one under complete localization, and whose…

统计力学 · 物理学 2025-09-12 Mesfin Taye

In [1] we presented a model for transactions when goods are given away in the expectation of a later settlement. In settings where people keep track of their social accounts we were able to redefine concepts like account balance, yield…

综合金融 · 定量金融 2014-11-10 W. P. Weijland

An heuristic model of the society, as an assembly of weakly interacting individuals, is discussed. The model allows to connect macroscopic phenomena with features of relations between individuals. Addressing to the problem of inequality, a…

生物物理 · 物理学 2023-10-16 Vladimir Pokrovskii

The shift from private vehicles to public and shared transport is crucial to reducing emissions and meeting climate targets. Consequently, there is an urgent need to develop a multimodal transport trip planning approach that integrates…

最优化与控制 · 数学 2025-02-21 Yimeng Zhang , Oded Cats , Shadi Sharif Azadeh

Understanding under what conditions it is possible to construct equivalent ensembles is key to advancing our ability to connect microscopic and macroscopic properties of non-equilibrium statistical mechanics. In the case of fluid dynamical…

流体动力学 · 物理学 2018-08-10 Luca Biferale , Massimo Cencini , Massimo De Pietro , Giovanni Gallavotti , Valerio Lucarini

We study two stylized, multi-agent models aimed at investing a limited, indivisible resource in public transportation. In the first model, we face the decision of which potential stops to open along a (e.g., bus) path, given agents' travel…

计算机科学与博弈论 · 计算机科学 2026-02-04 Martin Bullinger , Edith Elkind , Kassian Köck
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