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Differential Games in Marketing

Differential Games in Marketing
Author: Steffen Jørgensen
Publisher: Springer Science & Business Media
Total Pages: 185
Release: 2012-12-06
Genre: Business & Economics
ISBN: 1441989293

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Game theory has proven useful to represent and conceptualize problems of conflict and cooperation in a formal way, and to predict the outcome of such situations. Differential games are dynamic games that are particularly designed to study systems where observations and decisions are made in real time. The book conveys to the reader the state of the art of research in marketing applications of differential game theory. This research started about 25 years ago and the literature has now reached an extent and a maturity that makes it natural to take stock. The book deals with differential games in advertising, pricing, and marketing channels, as well as with marketing-production and pricing-advertising interfaces. It provides also a tutorial on main concepts in differential games.


Differential Games in Economics and Management Science

Differential Games in Economics and Management Science
Author: Engelbert Dockner
Publisher: Cambridge University Press
Total Pages: 398
Release: 2000-11-16
Genre: Business & Economics
ISBN: 9780521637329

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A comprehensive, self-contained survey of the theory and applications of differential games, one of the most commonly used tools for modelling and analysing economics and management problems which are characterised by both multiperiod and strategic decision making. Although no prior knowledge of game theory is required, a basic knowledge of linear algebra, ordinary differential equations, mathematical programming and probability theory is necessary. Part One presents the theory of differential games, starting with the basic concepts of game theory and going on to cover control theoretic models, Markovian equilibria with simultaneous play, differential games with hierarchical play, trigger strategy equilibria, differential games with special structures, and stochastic differential games. Part Two offers applications to capital accumulation games, industrial organization and oligopoly games, marketing, resources and environmental economics.


Optimal Control and Differential Games

Optimal Control and Differential Games
Author: Georges Zaccour
Publisher: Springer Science & Business Media
Total Pages: 242
Release: 2012-12-06
Genre: Business & Economics
ISBN: 1461510473

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Optimal control and differential games continue to attract strong interest from researchers interested in dynamical problems and models in management science. This volume explores the application of these methodologies to new as well as to classical decision problems in management sciences and economics. In Part I, optimal control and dynamical systems approaches are used to analyze problems in areas such as monetary policy, pollution control, relationship marketing, drug control, debt financing, and ethical behavior. In Part II differential games are applied to problems such as oligopolistic competition, common resource management, spillovers in foreign direct investments, marketing channels, incentive strategies, and the computation of Markov perfect Nash equilibria. Optimal Control and Differential Games is an excellent reference for researchers and graduate students covering a wide range of emerging and revisited problems in management science.


A Survey of Stackelberg Differential Game Models in Supply and Marketing Channels

A Survey of Stackelberg Differential Game Models in Supply and Marketing Channels
Author: Xiuli He
Publisher:
Total Pages: 29
Release: 2019
Genre:
ISBN:

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Stackelberg differential game models have been used to study sequential decision making in non-cooperative games in diverse fields. In this paper, we survey recent applications of Stackelberg differential game models to the supply chain management and marketing channels literatures. A common feature of these applications is the specification of the game structure: a decentralized channel composed of a manufacturer and independent retailers, and a sequential decision procedure with demand and supply dynamics and coordination issues. In supply chain management, Stackelberg differential games have been used to investigate inventory issues, wholesale and retail pricing strategies, and outsourcing in dynamic environments. The underlying demand typically has growth dynamics or seasonal variation. In marketing, Stackelberg differential games have been used to model cooperative advertising programs, store brand and national brand advertising strategies, shelf space allocation, and pricing and advertising decisions. The demand dynamics are usually extensions of the classical advertising capital models or sales-advertising response models. We begin by explaining the Stackelberg differential game solution methodology and then provide a description of the models and results reported in the literature.


Differential Games in Industrial Economics

Differential Games in Industrial Economics
Author: Luca Lambertini
Publisher: Cambridge University Press
Total Pages: 276
Release: 2018-04-26
Genre: Business & Economics
ISBN: 1316730700

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Game theory has revolutionised our understanding of industrial organisation and the traditional theory of the firm. Despite these advances, industrial economists have tended to rely on a restricted set of tools from game theory, focusing on static and repeated games to analyse firm structure and behaviour. Luca Lambertini, a leading expert on the application of differential game theory to economics, argues that many dynamic phenomena in industrial organisation (such as monopoly, oligopoly, advertising, R&D races) can be better understood and analysed through the use of differential games. After illustrating the basic elements of the theory, Lambertini guides the reader through the main models, spanning from optimal control problems describing the behaviour of a monopolist through to oligopoly games in which firms' strategies include prices, quantities and investments. This approach will be of great value to students and researchers in economics and those interested in advanced applications of game theory.


Stochastic Differential Games. Theory and Applications

Stochastic Differential Games. Theory and Applications
Author: Kandethody M. Ramachandran
Publisher: Springer Science & Business Media
Total Pages: 253
Release: 2012-01-05
Genre: Mathematics
ISBN: 9491216473

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The subject theory is important in finance, economics, investment strategies, health sciences, environment, industrial engineering, etc.


Differential Games

Differential Games
Author: Joseph Lewin
Publisher: Springer Science & Business Media
Total Pages: 260
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 1447120655

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Differential games theory is the most appropriate discipline for the modelling and analysis of real life conflict problems. The theory of differential games is here treated with an emphasis on the construction of solutions to actual problems with singular surfaces. The reader is provided with the knowledge necessary to put the theory of differential games into practice.


Dynamic Models of Advertising Competition

Dynamic Models of Advertising Competition
Author: Gary Erickson
Publisher: Springer Science & Business Media
Total Pages: 164
Release: 2002-10-31
Genre: Business & Economics
ISBN: 9781402072673

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I am gratified that there is sufficient interest in the subject matter so as to support the offering of a second edition of this monograph. The of differential games dynamic interpretation and game theoretic foundation form a powerful and vital methodology for helping us study and understand marketing competition. This second edition offers a blend of what proved to be successful with the first edition and new material. The first two chapters, reviewing empirical and modeling research, have been updated to include contributions in the last decade that have advanced the area. I have not changed the essential content in the duopoly analyses in chapters 3, 4, and 5. A notable addition to the present edition are the new chapters, 6, 7, and 8, which offer analysis of three triopoly models. In the final chapter, I offer my summary view of the area and hope for continued contributions. I want to express my appreciation for the support of Josh Eliashberg, editor of the International Series in Quantitative Marketing, as well as Zachary Rolnik, Director, and David Cella, Publishing Editor, of Kluwer. Their encouragement has provided crucial motivation in this endeavor.


Non-cooperative Stochastic Differential Game Theory of Generalized Markov Jump Linear Systems

Non-cooperative Stochastic Differential Game Theory of Generalized Markov Jump Linear Systems
Author: Cheng-ke Zhang
Publisher: Springer
Total Pages: 196
Release: 2016-09-02
Genre: Technology & Engineering
ISBN: 331940587X

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This book systematically studies the stochastic non-cooperative differential game theory of generalized linear Markov jump systems and its application in the field of finance and insurance. The book is an in-depth research book of the continuous time and discrete time linear quadratic stochastic differential game, in order to establish a relatively complete framework of dynamic non-cooperative differential game theory. It uses the method of dynamic programming principle and Riccati equation, and derives it into all kinds of existence conditions and calculating method of the equilibrium strategies of dynamic non-cooperative differential game. Based on the game theory method, this book studies the corresponding robust control problem, especially the existence condition and design method of the optimal robust control strategy. The book discusses the theoretical results and its applications in the risk control, option pricing, and the optimal investment problem in the field of finance and insurance, enriching the achievements of differential game research. This book can be used as a reference book for non-cooperative differential game study, for graduate students majored in economic management, science and engineering of institutions of higher learning.