Utility Maximization in Nonconvex Wireless Systems

Utility Maximization in Nonconvex Wireless Systems
Author: Johannes Brehmer
Publisher: Springer Science & Business Media
Total Pages: 185
Release: 2012-03-15
Genre: Technology & Engineering
ISBN: 3642174388

This monograph develops a framework for modeling and solving utility maximization problems in nonconvex wireless systems. The first part develops a model for utility optimization in wireless systems. The model is general enough to encompass a wide array of system configurations and performance objectives. Based on the general model, a set of methods for solving utility maximization problems is developed in the second part of the book. The development is based on a careful examination of the properties that are required for the application of each method. This part focuses on problems whose initial formulation does not allow for a solution by standard methods and discusses alternative approaches. The last part presents two case studies to demonstrate the application of the proposed framework. In both cases, utility maximization in multi-antenna broadcast channels is investigated.

Utility Maximization Problem

Utility Maximization Problem
Author: Fouad Sabry
Publisher: One Billion Knowledgeable
Total Pages: 245
Release: 2024-02-06
Genre: Business & Economics
ISBN:

What is Utility Maximization Problem Jeremy Bentham and John Stuart Mill, both utilitarian philosophers, were the ones who initially devised the concept of utility maximization. The utility maximization problem is a challenge that consumers encounter in the field of microeconomics. This problem pertains to the question, "How should I spend my money in order to maximize my utility?" It falls within the category of optimal choice problems. It is the process of deciding how much of each available commodity or service to consume, taking into account a limitation on overall spending (income), the cost of the goods, and the preferences of the individual. How you will benefit (I) Insights, and validations about the following topics: Chapter 1: Utility maximization problem Chapter 2: Utility Chapter 3: Indifference curve Chapter 4: Consumer choice Chapter 5: Budget constraint Chapter 6: Income-consumption curve Chapter 7: Marshallian demand function Chapter 8: Arrow-Debreu model Chapter 9: Fundamental theorems of welfare economics Chapter 10: Revealed preference Chapter 11: Indirect utility function Chapter 12: Hicksian demand function Chapter 13: Corner solution Chapter 14: Local nonsatiation Chapter 15: Sonnenschein-Mantel-Debreu theorem Chapter 16: Competitive equilibrium Chapter 17: Quasilinear utility Chapter 18: Preference (economics) Chapter 19: Fair item allocation Chapter 20: Dixit-Stiglitz model Chapter 21: Abstract economy (II) Answering the public top questions about utility maximization problem. (III) Real world examples for the usage of utility maximization problem in many fields. Who this book is for Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of Utility Maximization Problem.

Utility Maximization, Choice and Preference

Utility Maximization, Choice and Preference
Author: Fuad Aleskerov
Publisher: Springer Science & Business Media
Total Pages: 226
Release: 2013-04-18
Genre: Business & Economics
ISBN: 3662049929

The utility maximization paradigm forms the basis of many economic, psychological, cognitive and behavioral models. However, numerous examples have revealed the deficiencies of the concept. This book helps to overcome those deficiencies by taking into account insensitivity of measurement threshold and context of choice. The second edition has been updated to include the most recent developments and a new chapter on classic and new results for infinite sets.

Economic Analysis of Families and Society

Economic Analysis of Families and Society
Author: Shinji Yamashige
Publisher: Springer
Total Pages: 239
Release: 2017-11-06
Genre: Political Science
ISBN: 4431559094

This book, based on economics and game theory, analyzes the changes that Japan is now facing as a reflection of changes in Japanese families and society. The author presents a simple framework for the structural relationship among markets, communities including families, and the state; and uses it to explain the changes that have occurred in Japanese society. Social changes have created a series of social problems such as population ageing, poverty, and regional disparities, which require changes in public policies. The book provides readers with rich information about the Japanese social security system, social policies and regional policies by explaining why they are developed, how they are designed, and what challenges they face. Readers will find that the transformation of Japanese society is not really a special case but a fairly common one that many developed countries have experienced and many developing countries are going to experience. The book will be useful not only to those who are interested in Japanese society and public policies but also to anyone who is interested in the transformations of families, communities, and roles of the state in a modern market economy.

Toward Interactive and Intelligent Decision Support Systems

Toward Interactive and Intelligent Decision Support Systems
Author: Yoshikazu Sawaragi
Publisher: Springer Science & Business Media
Total Pages: 462
Release: 2012-12-06
Genre: Business & Economics
ISBN: 3642466079

These proceedings include papers presented at the VII-th Internatio nal Conference on Multiple Criteria Decision Making which was held in Kyoto/Japan on August 18-22, 1986. Multiple Criteria Decision Making (MCDM) has been a greatly import ant subject in many practical fields, for example, in planning, design, control and management in both private and public sectors. After remark able developments of theory, methodology and pilot case studies in rec ent years, it is now facing the stage of real applications and develop ment of more sophisticated methodology as interactive intelligent decision support systems. The conference aimed to provide a significant contribu tion to the future of MCDM as one of total systems including human factors: Substantial emphasis was given to knowledge engineering and cognitive sci ence. The conference inherits the tradition and the style of the previous conferences: (1) Jouy-en-Josas/France (1975), (2) Buffalo/U.S.A. (1977), (3) Konigswinter/FRG (1978), (4) Delaware/U.S.A. (1980), (5) Mons/Belgium (1982), (6) Cleveland/U.S.A. (1984). This time a great many Japanese com panies provided grants for the conference. As a result, the total number of participants was over 120, and a computer demonstration could be reali zed on an extensive scale as well as the conference sessions. Throughout the conference, it was observed that MCDM is making steady progress not only in theory but also as a tool for decision support.

Modeling, Stochastic Control, Optimization, and Applications

Modeling, Stochastic Control, Optimization, and Applications
Author: George Yin
Publisher: Springer
Total Pages: 593
Release: 2019-07-16
Genre: Mathematics
ISBN: 3030254984

This volume collects papers, based on invited talks given at the IMA workshop in Modeling, Stochastic Control, Optimization, and Related Applications, held at the Institute for Mathematics and Its Applications, University of Minnesota, during May and June, 2018. There were four week-long workshops during the conference. They are (1) stochastic control, computation methods, and applications, (2) queueing theory and networked systems, (3) ecological and biological applications, and (4) finance and economics applications. For broader impacts, researchers from different fields covering both theoretically oriented and application intensive areas were invited to participate in the conference. It brought together researchers from multi-disciplinary communities in applied mathematics, applied probability, engineering, biology, ecology, and networked science, to review, and substantially update most recent progress. As an archive, this volume presents some of the highlights of the workshops, and collect papers covering a broad range of topics.

International Macroeconomics

International Macroeconomics
Author: Stephanie Schmitt-Grohé
Publisher: Princeton University Press
Total Pages: 482
Release: 2022-09-06
Genre: Business & Economics
ISBN: 0691170649

An essential introduction to one of the most timely and important subjects in economics International Macroeconomics presents a rigorous and theoretically elegant treatment of real-world international macroeconomic problems, incorporating the latest economic research while maintaining a microfounded, optimizing, and dynamic general equilibrium approach. This one-of-a-kind textbook introduces a basic model and applies it to fundamental questions in international economics, including the determinants of the current account in small and large economies, processes of adjustment to shocks, the determinants of the real exchange rate, the role of fixed and flexible exchange rates in models with nominal rigidities, and interactions between monetary and fiscal policy. The book confronts theoretical predictions using actual data, highlighting both the power and limits of given theories and encouraging critical thinking. Provides a rigorous and elegant treatment of fundamental questions in international macroeconomicsBrings undergraduate and master’s instruction in line with modern economic researchFollows a microfounded, optimizing, and dynamic general equilibrium approachAddresses fundamental questions in international economics, such as the role of capital controls in the presence of financial frictions and balance-of-payments crisesUses real-world data to test the predictions of theoretical modelsFeatures a wealth of exercises at the end of each chapter that challenge students to hone their theoretical skills and scrutinize the empirical relevance of modelsAccompanied by a website with lecture slides for every chapter

Continuous-time Stochastic Control and Optimization with Financial Applications

Continuous-time Stochastic Control and Optimization with Financial Applications
Author: Huyên Pham
Publisher: Springer Science & Business Media
Total Pages: 243
Release: 2009-05-28
Genre: Mathematics
ISBN: 3540895000

Stochastic optimization problems arise in decision-making problems under uncertainty, and find various applications in economics and finance. On the other hand, problems in finance have recently led to new developments in the theory of stochastic control. This volume provides a systematic treatment of stochastic optimization problems applied to finance by presenting the different existing methods: dynamic programming, viscosity solutions, backward stochastic differential equations, and martingale duality methods. The theory is discussed in the context of recent developments in this field, with complete and detailed proofs, and is illustrated by means of concrete examples from the world of finance: portfolio allocation, option hedging, real options, optimal investment, etc. This book is directed towards graduate students and researchers in mathematical finance, and will also benefit applied mathematicians interested in financial applications and practitioners wishing to know more about the use of stochastic optimization methods in finance.

A Course in Microeconomic Theory

A Course in Microeconomic Theory
Author: David M. Kreps
Publisher: Princeton University Press
Total Pages: 869
Release: 2020-06-23
Genre: Business & Economics
ISBN: 069121574X

David M. Kreps has developed a text in microeconomics that is both challenging and "user-friendly." The work is designed for the first-year graduate microeconomic theory course and is accessible to advanced undergraduates as well. Placing unusual emphasis on modern noncooperative game theory, it provides the student and instructor with a unified treatment of modern microeconomic theory--one that stresses the behavior of the individual actor (consumer or firm) in various institutional settings. The author has taken special pains to explore the fundamental assumptions of the theories and techniques studied, pointing out both strengths and weaknesses. The book begins with an exposition of the standard models of choice and the market, with extra attention paid to choice under uncertainty and dynamic choice. General and partial equilibrium approaches are blended, so that the student sees these approaches as points along a continuum. The work then turns to more modern developments. Readers are introduced to noncooperative game theory and shown how to model games and determine solution concepts. Models with incomplete information, the folk theorem and reputation, and bilateral bargaining are covered in depth. Information economics is explored next. A closing discussion concerns firms as organizations and gives readers a taste of transaction-cost economics.