Mathematical Demoeconomy

Mathematical Demoeconomy
Author: Yuri S. Popkov
Publisher: Walter de Gruyter
Total Pages: 514
Release: 2014-04-02
Genre: Mathematics
ISBN: 3110339161

This monograph aspires to lay the foundations of a new scientific discipline, demoeconomics, representing the synthesis of demography and spatial economics. This synthesis is performed in terms of interaction between population and its economic activity. The monograph appears a unique research work having no analogs in scientific literature. Demoeconomic systems are studied involving the macrosystems approach which combines the generalized entropy maximization principle and the local equilibria principle. Demoeconomic systems operate in an uncertain environment; thus and so, the monograph develops the methodology and technique of probabilistic modeling and forecasting of their evolution.

Entropy Application for Forecasting

Entropy Application for Forecasting
Author: Ana Jesus Lopez-Menendez
Publisher: MDPI
Total Pages: 200
Release: 2020-12-29
Genre: Technology & Engineering
ISBN: 3039364871

This book shows the potential of entropy and information theory in forecasting, including both theoretical developments and empirical applications. The contents cover a great diversity of topics, such as the aggregation and combination of individual forecasts, the comparison of forecasting performance, and the debate concerning the tradeoff between complexity and accuracy. Analyses of forecasting uncertainty, robustness, and inconsistency are also included, as are proposals for new forecasting approaches. The proposed methods encompass a variety of time series techniques (e.g., ARIMA, VAR, state space models) as well as econometric methods and machine learning algorithms. The empirical contents include both simulated experiments and real-world applications focusing on GDP, M4-Competition series, confidence and industrial trend surveys, and stock exchange composite indices, among others. In summary, this collection provides an engaging insight into entropy applications for forecasting, offering an interesting overview of the current situation and suggesting possibilities for further research in this field.

Computational Methods for Data Analysis

Computational Methods for Data Analysis
Author: Yeliz Karaca
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 395
Release: 2018-12-17
Genre: Mathematics
ISBN: 3110496364

This graduate text covers a variety of mathematical and statistical tools for the analysis of big data coming from biology, medicine and economics. Neural networks, Markov chains, tools from statistical physics and wavelet analysis are used to develop efficient computational algorithms, which are then used for the processing of real-life data using Matlab.

The Geometry of Efficient Fair Division

The Geometry of Efficient Fair Division
Author: Julius B. Barbanel
Publisher: Cambridge University Press
Total Pages: 472
Release: 2005-01-24
Genre: Mathematics
ISBN: 9780521842488

What is the best way to divide a cake and allocate the pieces among some finite collection of players? In this book, the cake is a measure space, and each player uses a countably additive, non-atomic probability measure to evaluate the size of the pieces of cake, with different players generally using different measures. The author investigates efficiency properties (is there another partition that would make everyone at least as happy, and would make at least one player happier, than the present partition?) and fairness properties (do all players think that their piece is at least as large as every other player's piece?). He focuses exclusively on abstract existence results rather than algorithms, and on the geometric objects that arise naturally in this context. By examining the shape of these objects and the relationship between them, he demonstrates results concerning the existence of efficient and fair partitions.

Progress in Artificial Economics

Progress in Artificial Economics
Author: Marco Li Calzi
Publisher: Springer
Total Pages: 264
Release: 2010-09-10
Genre: Business & Economics
ISBN: 9783642139468

Artificial economics aims to provide a generative approach to understanding problems in economics and social sciences. It is based on the consistent use of agent-based models and computational techniques. It encompasses a rich variety of techniques that generalize numerical analysis, mathematical programming, and micro-simulations. The peer-reviewed contributions in this volume address applications of artificial economics to markets and trading, auctions, networks, management, industry sectors, macroeconomics, and demographics and culture.

Cooperative Stochastic Differential Games

Cooperative Stochastic Differential Games
Author: David W.K. Yeung
Publisher: Springer Science & Business Media
Total Pages: 260
Release: 2005-10-20
Genre: Business & Economics
ISBN: 9780387276205

Numerical Optimization presents a comprehensive and up-to-date description of the most effective methods in continuous optimization. It responds to the growing interest in optimization in engineering, science, and business by focusing on the methods that are best suited to practical problems. For this new edition the book has been thoroughly updated throughout. There are new chapters on nonlinear interior methods and derivative-free methods for optimization, both of which are used widely in practice and the focus of much current research. Because of the emphasis on practical methods, as well as the extensive illustrations and exercises, the book is accessible to a wide audience. It can be used as a graduate text in engineering, operations research, mathematics, computer science, and business. It also serves as a handbook for researchers and practitioners in the field. The authors have strived to produce a text that is pleasant to read, informative, and rigorous - one that reveals both the beautiful nature of the discipline and its practical side.