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The book focuses on the dynamics of nonlinear oligopoly models. It discusses the classical Cournot model with a large variety of demand and cost functions that illustrate the many different types of possible best response functions and it shows the existence of unique and multiple equilibria. Particular emphasis is placed on the influence of nonnegativity and capacity constraints. Dynamics are introduced under various assumptions for the adjustment process. An introduction to the analysis of global dynamics is given through some specific examples. The book also considers concave and general oligopolies and gives conditions for the local asymptotic stability of their equilibria, and it investigates global dynamics in some special cases. Other oligopolies examined include market share attraction games, labor-managed oligopolies, partially cooperating firms and models with intertemporal demand attraction. Local/global stability analyses are carried out for these models and the impact of constraints is discussed. The book contains a number of technical appendices that summarize techniques of global dynamics not easily accessible elsewhere. .
Oligopolies -- Mathematical models. --- Oligopolies. --- Oligopolies --- Management --- Business & Economics --- Economic Theory --- Industrial Management --- Mathematical models --- Mathematics. --- Mathematical models. --- Math --- Game theory. --- Statistical physics. --- Dynamical systems. --- Economic theory. --- Microeconomics. --- Industrial organization. --- Economics. --- Economic Theory/Quantitative Economics/Mathematical Methods. --- Game Theory, Economics, Social and Behav. Sciences. --- Industrial Organization. --- Statistical Physics, Dynamical Systems and Complexity. --- Science
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This book focuses on the latest advances in nonlinear dynamic modeling in economics and finance, mainly—but not solely—based on the description of strategic interaction by using concepts and methods from dynamic and evolutionary game theory. The respective chapters cover a range of theoretical issues and examples concerning how the qualitative theory of dynamical systems is used to analyze the local and global bifurcations that characterize complex behaviors observed in social systems where heterogeneous and boundedly rational economic agents interact. Nonlinear dynamical systems, represented by difference and differential and functional equations, are extensively used to simulate the behavior of time-evolving economic systems, also in the presence of time lags, discontinuities, and hysteresis phenomena. In addition, some theoretical issues and particular applications are discussed, as well. The contributions gathered here offer an up-to-date review of the latest research in this rapidly developing research area.
Game theory. --- Games, Theory of --- Theory of games --- Mathematical models --- Mathematics --- Economic growth. --- Economic policy. --- Economics. --- Operations research. --- Decision making. --- Management science. --- Game Theory. --- Economic Growth. --- Political Economy/Economic Systems. --- Operations Research/Decision Theory. --- Operations Research, Management Science. --- Quantitative business analysis --- Management --- Problem solving --- Operations research --- Statistical decision --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management decisions --- Choice (Psychology) --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Economic theory --- Political economy --- Social sciences --- Economic man --- Economic nationalism --- Economic planning --- National planning --- State planning --- Economics --- Planning --- National security --- Social policy --- Development, Economic --- Economic growth --- Growth, Economic --- Economic policy --- Statics and dynamics (Social sciences) --- Development economics --- Resource curse --- Decision making
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This book focuses on the latest advances in nonlinear dynamic modeling in economics and finance, mainly—but not solely—based on the description of strategic interaction by using concepts and methods from dynamic and evolutionary game theory. The respective chapters cover a range of theoretical issues and examples concerning how the qualitative theory of dynamical systems is used to analyze the local and global bifurcations that characterize complex behaviors observed in social systems where heterogeneous and boundedly rational economic agents interact. Nonlinear dynamical systems, represented by difference and differential and functional equations, are extensively used to simulate the behavior of time-evolving economic systems, also in the presence of time lags, discontinuities, and hysteresis phenomena. In addition, some theoretical issues and particular applications are discussed, as well. The contributions gathered here offer an up-to-date review of the latest research in this rapidly developing research area.
Economic growth --- Economic policy and planning (general) --- Economics --- Operational research. Game theory --- Mathematical statistics --- Planning (firm) --- Business management --- Recreation. Games. Sports. Corp. expression --- besluitvorming --- economie --- economische politiek --- management --- mathematische modellen --- spellen --- economische groei --- econometrie --- operationeel onderzoek
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The book presents the lectures delivered during a short course held at Urbino University in summer 2015 on qualitative theory of dynamical systems, included in the activities of the COST Action IS1104 “The EU in the new economic complex geography: models, tools and policy evaluation”. It provides a basic introduction to dynamical systems and optimal control both in continuous and discrete time, as well as some numerical methods and applications in economic modelling. Economic and social systems are intrinsically dynamic, characterized by interdependence, nonlinearity and complexity, and these features can only be approached using a qualitative analysis based on the study of invariant sets (equilibrium points, limit cycles and more complex attractors, together with the boundaries of their basins of attraction), which requires a trade-off between analytical, geometrical and numerical methods. Even though the early steps of the qualitative theory of dynamical systems have been in continuous time models, in economic and social modelling discrete time is often used to describe event-driven (often decision-driven) evolving systems. The book is written for Ph.D. and master’s students, post-doctoral fellows, and researchers in economics or sociology, and it only assumes a basic knowledge of calculus. However it also suggests some more advanced topics.
Physics. --- Economic geography. --- Statistical physics. --- Sociophysics. --- Econophysics. --- Economic theory. --- Regional economics. --- Spatial economics. --- Nonlinear Dynamics. --- Economic Theory/Quantitative Economics/Mathematical Methods. --- Regional/Spatial Science. --- Economic Geography. --- Socio- and Econophysics, Population and Evolutionary Models. --- Economics --- Mathematical models --- Geography. --- Applications of Nonlinear Dynamics and Chaos Theory. --- Data-driven Science, Modeling and Theory Building. --- Regional planning --- Regionalism --- Space in economics --- Economic theory --- Political economy --- Social sciences --- Economic man --- Cosmography --- Earth sciences --- World history --- Statistical physics --- Mathematical sociology --- Geography, Economic --- World economics --- Geography --- Commercial geography --- Spatial economics --- Regional economics --- Physics --- Mathematical statistics --- Statistical methods
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Over the last two decades there has been a great deal of research into nonlinear dynamic models in economics, finance and the social sciences. This book contains twenty papers that range over very recent applications in these areas. Topics covered include structural change and economic growth, disequilibrium dynamics and economic policy as well as models with boundedly rational agents. The book illustrates some of the most recent research tools in this area and will be of interest to economists working in economic dynamics and to mathematicians interested in seeing ideas from nonlinear dynamics and complexity theory applied to the economic sciences.
Differential equations, Nonlinear. --- Economics, Mathematical. --- Statics and dynamics (Social sciences). --- Economics, Mathematical --- Statics and dynamics (Social sciences) --- Differential equations, Nonlinear --- Business & Economics --- Economic Theory --- Dynamics and statics (Social sciences) --- Equilibrium (Social sciences) --- Economics --- Mathematical economics --- Mathematics --- Finance. --- Applied mathematics. --- Engineering mathematics. --- Game theory. --- Statistical physics. --- Dynamical systems. --- Economic theory. --- Economics. --- Economic Theory/Quantitative Economics/Mathematical Methods. --- Finance, general. --- Applications of Mathematics. --- Game Theory, Economics, Social and Behav. Sciences. --- Statistical Physics, Dynamical Systems and Complexity. --- Social evolution --- Social sciences --- Sociology --- Econometrics --- Methodology
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The essays in this special volume survey some of the most recent advances in the global analysis of dynamic models for economics, finance and the social sciences. They deal in particular with a range of topics from mathematical methods as well as numerous applications including recent developments on asset pricing, heterogeneous beliefs, global bifurcations in complementarity games, international subsidy games and issues in economic geography. A number of stochastic dynamic models are also analysed. The book is a collection of essays in honour of the 60th birthday of Laura Gardini.
Quantitative methods (economics) --- Methodology of economics --- Economic schools --- Finance --- Economics --- Financial law --- Operational research. Game theory --- Mathematical statistics --- Mathematics --- Financial analysis --- Investment management --- Business management --- Business economics --- kennis --- financieel management --- bedrijfseconomie --- economie --- statistiek --- investeringen --- economisch denken --- financiën --- speltheorie --- bankwezen --- financiële analyse --- econometrie --- wiskunde --- financieel recht
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The book presents the lectures delivered during a short course held at Urbino University in summer 2015 on qualitative theory of dynamical systems, included in the activities of the COST Action IS1104 “The EU in the new economic complex geography: models, tools and policy evaluation”. It provides a basic introduction to dynamical systems and optimal control both in continuous and discrete time, as well as some numerical methods and applications in economic modelling. Economic and social systems are intrinsically dynamic, characterized by interdependence, nonlinearity and complexity, and these features can only be approached using a qualitative analysis based on the study of invariant sets (equilibrium points, limit cycles and more complex attractors, together with the boundaries of their basins of attraction), which requires a trade-off between analytical, geometrical and numerical methods. Even though the early steps of the qualitative theory of dynamical systems have been in continuous time models, in economic and social modelling discrete time is often used to describe event-driven (often decision-driven) evolving systems. The book is written for Ph.D. and master’s students, post-doctoral fellows, and researchers in economics or sociology, and it only assumes a basic knowledge of calculus. However it also suggests some more advanced topics.
Sociology --- Quantitative methods (economics) --- Economic schools --- Economics --- Classical mechanics. Field theory --- Statistical physics --- Physics --- Environmental planning --- Economic geography --- ruimtelijke ordening --- sociologie --- bevolking --- economie --- statistiek --- sociale economie --- economisch denken --- geografie --- fysica --- dynamica
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Over the last two decades there has been a great deal of research into nonlinear dynamic models in economics, finance and the social sciences. This book contains twenty papers that range over very recent applications in these areas. Topics covered include structural change and economic growth, disequilibrium dynamics and economic policy as well as models with boundedly rational agents. The book illustrates some of the most recent research tools in this area and will be of interest to economists working in economic dynamics and to mathematicians interested in seeing ideas from nonlinear dynamics and complexity theory applied to the economic sciences.
Quantitative methods (economics) --- Economic schools --- Finance --- Operational research. Game theory --- Discrete mathematics --- Mathematical statistics --- Mathematics --- Classical mechanics. Field theory --- Statistical physics --- Applied physical engineering --- Recreation. Games. Sports. Corp. expression --- financieel management --- toegepaste wiskunde --- grafentheorie --- economie --- statistiek --- spellen --- economisch denken --- sociale interventies --- speltheorie --- wiskunde --- fysica --- dynamica
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Economics --- -Finance --- -Social sciences --- -Mathematical models --- Mathematical models --- Mathematical models
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Over the last two decades there has been a great deal of research into nonlinear dynamic models in economics, finance and the social sciences. This book contains twenty papers that range over very recent applications in these areas. Topics covered include structural change and economic growth, disequilibrium dynamics and economic policy as well as models with boundedly rational agents. The book illustrates some of the most recent research tools in this area and will be of interest to economists working in economic dynamics and to mathematicians interested in seeing ideas from nonlinear dynamics and complexity theory applied to the economic sciences.
Economics/Management Science. --- Economic Theory. --- Finance /Banking. --- Game Theory, Economics, Social and Behav. Sciences. --- Economics. --- Mathematics. --- Banks and banking. --- Economie politique --- Mathématiques --- Banques --- Economics, Mathematical --- Statics and dynamics (Social sciences) --- Differential equations, Nonlinear --- AA / International- internationaal --- 330.3 --- 303.0 --- 305.7 --- 330.01519 --- Nonlinear differential equations --- Nonlinear theories --- Dynamics and statics (Social sciences) --- Equilibrium (Social sciences) --- Economics --- Social evolution --- Social sciences --- Sociology --- Mathematical economics --- Econometrics --- Mathematics --- Methode in staathuishoudkunde. Statische, dynamische economie. Modellen. Experimental economics. --- Statistische technieken in econometrie. Wiskundige statistiek (algemene werken en handboeken). --- Econometrie van het gedrag van de financiële tussenpersonen. Monetaire econometrische modellen. Monetaire agregaten. vraag voor geld. Krediet. Rente. --- Methodology --- Statistische technieken in econometrie. Wiskundige statistiek (algemene werken en handboeken) --- Econometrie van het gedrag van de financiële tussenpersonen. Monetaire econometrische modellen. Monetaire agregaten. vraag voor geld. Krediet. Rente --- Methode in staathuishoudkunde. Statische, dynamische economie. Modellen. Experimental economics
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