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We present a novel approach to modeling market dynamics using ordinary differential equations that explicitly incorporates product competitiveness and consumer behavior. Our framework treats market segments as interacting populations in a…

Dynamical Systems · Mathematics 2025-11-26 Aparna Komarla , Max Hill

Kinetic exchange models have been successful in explaining the shape of the income/wealth distribution in the economies. However, such models usually make some ad-hoc assumptions when it comes to determining the savings factor. Here, we…

Trading and Market Microstructure · Quantitative Finance 2010-06-28 Anindya S. Chakrabarti

We study a model of user decision-making in the context of recommender systems via numerical simulation. Our model provides an explanation for the findings of Nguyen, et. al (2014), where, in environments where recommender systems are…

Computers and Society · Computer Science 2020-07-27 Guy Aridor , Duarte Goncalves , Shan Sikdar

In financial markets, the order flow, defined as the process assuming value one for buy market orders and minus one for sell market orders, displays a very slowly decaying autocorrelation function. Since orders impact prices, reconciling…

Statistical Finance · Quantitative Finance 2015-06-19 Damian Eduardo Taranto , Giacomo Bormetti , Fabrizio Lillo

The objective of this paper is to give a rigorous analysis of a stochastic spatial model of producer-consumer systems that has been recently introduced by Kang and the author to understand the role of space in ecological communities in…

Probability · Mathematics 2013-01-03 Nicolas Lanchier

We propose a continuous-time stock-flow consistent model for inventory dynamics in an economy with firms, banks, and households. On the supply side, firms decide on production based on adaptive expectations for sales demand and a desired…

General Finance · Quantitative Finance 2016-10-05 Matheus Grasselli , Adrien Nguyen-Huu

Developing shopping experiences that delight the customer requires businesses to understand customer taste. This work reports a method to learn the shopping preferences of frequent shoppers to an online gift store by combining ideas from…

Machine Learning · Computer Science 2021-11-12 Rajiv Sambasivan , Mark Burgess , Jörg Schad , Arthur Keen , Christopher Woodward , Alexander Geenen , Sachin Sharma

A microscopic approach to macroeconomic features is intended. A model for macroeconomic behavior under heterogeneous spatial economic conditions is reviewed. A birth-death lattice gas model taking into account the influence of an economic…

Statistical Mechanics · Physics 2009-11-10 Marcel Ausloos , Paulette Clippe , Janusz Miśkiewicz , Andrzej Pekalski

Customer behavior is often assumed to follow weak rationality, which implies that adding a product to an assortment will not increase the choice probability of another product in that assortment. However, an increasing amount of research…

Machine Learning · Computer Science 2021-10-14 Yi-Chun Chen , Velibor V. Mišić

How does supply uncertainty affect the structure of supply chain networks? To answer this question we consider a setting where retailers and suppliers must establish a costly relationship with each other prior to engaging in trade.…

Computer Science and Game Theory · Computer Science 2023-09-12 Victor Amelkin , Rakesh Vohra

The purpose of this paper is to introduce, study and analyze a new stochastic order which lies in the framework of the mean residual life and the combination convexity orders. Several preservation properties of the new order under…

Methodology · Statistics 2015-01-08 M. Kayid , S. Izadkhah , H. Alhalees

Traditionally, population models distinguish individuals on the basis of their current state. Given a distribution, a discrete time model then specifies (precisely in deterministic models, probabilistically in stochastic models) the…

Populations and Evolution · Quantitative Biology 2023-09-21 B. Boldin , O. Diekmann , J. A. J. Metz

What determines biodiversity in nature is a prominent issue in ecology, especially in biotic resource systems that are typically devoid of cross-feeding. Here, we show that by incorporating pairwise encounters among consumer individuals…

Populations and Evolution · Quantitative Biology 2025-06-18 Ju Kang , Shijie Zhang , Yiyuan Niu , Xin Wang

In survival or reliability studies, the mean residual life or life expectancy is an important characteristic of the model. Whereas the failure rate can be expressed quite simply in terms of the mean residual life and its derivative, the…

Statistics Theory · Mathematics 2007-06-13 Ramesh C. Gupta , David M. Bradley

In this paper, the survival function of waiting times between orders and the corresponding trades in a double-auction market is studied both by means of experiments and of empirical data. It turns out that, already at the level of order…

Physics and Society · Physics 2008-12-02 Enrico Scalas , Taisei Kaizoji , Michael Kirchler , Juergen Huber , Alessandra Tedeschi

This article summarizes some physics aspects of the market model of Weisbuch and Stauffer, Physica A (2003): How do demand and quality expectation adjust to each other in a buyer dominated market like cinema visits? And how can business…

Statistical Mechanics · Physics 2009-11-10 Dietrich Stauffer , Gerard Weisbuch

Traditional approaches to ranking in web search follow the paradigm of rank-by-score: a learned function gives each query-URL combination an absolute score and URLs are ranked according to this score. This paradigm ensures that if the score…

Machine Learning · Computer Science 2012-07-03 Or Sheffet , Nina Mishra , Samuel Ieong

Sequential allocation is a simple and attractive mechanism for the allocation of indivisible goods. Agents take turns, according to a policy, to pick items. Sequential allocation is guaranteed to return an allocation which is efficient but…

Artificial Intelligence · Computer Science 2018-01-17 Haris Aziz , Thomas Kalinowski , Toby Walsh , Lirong Xia

What people buy is an important aspect or view of lifestyles. Studying people's shopping patterns in different urban regions can not only provide valuable information for various commercial opportunities, but also enable a better…

Social and Information Networks · Computer Science 2017-01-24 Tianran Hu , Ruihua Song , Yingzi Wang , Xing Xie , Jiebo Luo

We study the Proportional Response dynamic in exchange economies, where each player starts with some amount of money and a good. Every day, the players bring one unit of their good and submit bids on goods they like, each good gets…

Computer Science and Game Theory · Computer Science 2023-09-13 Simina Brânzei , Nikhil R. Devanur , Yuval Rabani
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