Author: Shuhei Shiozawa
Publisher:
ISBN:
Category :
Languages : en
Pages : 250
Book Description
Existence of Competitive Equilibria in Overlapping-generations Models
On the Existence of Optimal Competitive Equilibria in the Overlapping-generations Model
Existence and Optimality of Competitive Equilibria
Author: Charalambos D. Aliprantis
Publisher: Springer Science & Business Media
ISBN: 3662218933
Category : Business & Economics
Languages : en
Pages : 294
Book Description
This monograph is a systematic exposition of the authors' research on general equi librium models with an infinite number of commodities. It is intended to serve both as a graduate text on aspects of general equilibrium theory and as an introduction, for economists and mathematicians working in mathematical economics, to current research in a frontier area of general equilibrium theory. To this end, we have pro vided two introductory chapters on the basic economic model and the mathematical framework. The exercises at the end of each section complement the main exposition. Chapter one is a concise but substantiative discussion of the questions of exis tence and optimality of competitive equilibria in the Walrasian general equilibrium model of an economy with a finite number of households, firms and commodities. Our extension of this model to economies with an infinite number of commodities constitutes the core material of this book and begins in chapter three. Readers fa miliar with the Walrasian general equilibrium model as exposited in (13], [23] or [52] may treat chapter one as a handy reference for the main economic concepts and notions that are used throughout the book.
Publisher: Springer Science & Business Media
ISBN: 3662218933
Category : Business & Economics
Languages : en
Pages : 294
Book Description
This monograph is a systematic exposition of the authors' research on general equi librium models with an infinite number of commodities. It is intended to serve both as a graduate text on aspects of general equilibrium theory and as an introduction, for economists and mathematicians working in mathematical economics, to current research in a frontier area of general equilibrium theory. To this end, we have pro vided two introductory chapters on the basic economic model and the mathematical framework. The exercises at the end of each section complement the main exposition. Chapter one is a concise but substantiative discussion of the questions of exis tence and optimality of competitive equilibria in the Walrasian general equilibrium model of an economy with a finite number of households, firms and commodities. Our extension of this model to economies with an infinite number of commodities constitutes the core material of this book and begins in chapter three. Readers fa miliar with the Walrasian general equilibrium model as exposited in (13], [23] or [52] may treat chapter one as a handy reference for the main economic concepts and notions that are used throughout the book.
On the Existence of Pareto Optima and Interest Competitive Equilibria in the Generation-overlapping Exchange Economy
Overlapping Generations
Author: Stephen E. Spear
Publisher: Emerald Group Publishing
ISBN: 1837530548
Category : Business & Economics
Languages : en
Pages : 200
Book Description
The 800 pound gorilla in the room of macroeconomics is the question of why the overlapping generations model didn’t become the central workhorse model for macroeconomics, as opposed to the neoclassical growth model. The authors here explore the co-evolution of the two models.
Publisher: Emerald Group Publishing
ISBN: 1837530548
Category : Business & Economics
Languages : en
Pages : 200
Book Description
The 800 pound gorilla in the room of macroeconomics is the question of why the overlapping generations model didn’t become the central workhorse model for macroeconomics, as opposed to the neoclassical growth model. The authors here explore the co-evolution of the two models.
Handbook of Mathematical Economics
Author: Kenneth J. Arrow
Publisher: North Holland
ISBN:
Category : Business & Economics
Languages : en
Pages : 408
Book Description
V.2: Mathematical approaches to microeconomic theory. Mathematical approaches to competitive equilibrium.
Publisher: North Holland
ISBN:
Category : Business & Economics
Languages : en
Pages : 408
Book Description
V.2: Mathematical approaches to microeconomic theory. Mathematical approaches to competitive equilibrium.
EQUIVALENCE BETWEEN THE CORE AND THE SET OF COMPETITIVE EQUILIBRIA IN OVERLAPPING GENERATIONS AND INCOMPLETE MARKET WITH MANY AGENTS. A. OVERLAPPING GENERATIONS MODELS WITHOUT MONEY
The Social Viability of Money
Author: Joan Esteban
Publisher: Springer Science & Business Media
ISBN: 3642467555
Category : Business & Economics
Languages : en
Pages : 209
Book Description
In this book overlapping generations economies are analysed from a game theoretical point of view and the social acceptability of consumption allocations is studied in infinite horizon models of pure exchange economieswith agents with finite lifetimes who behave cooperatively. The core of such economies and its relation with competitive equilibria, both walrasian and monetary and the essential characteristics of the overlapping generations model are examined. The author defines the problem of trust in intertemporal consumption allocations as a question of belonging or not to the core of economy and provides a full characterization of the core allocations for n-goods pure exchange economies with one agent per generation: a consumption allocation belongs to the core if and only it is Pareto optimal and Sequentially Individually Rational. From this it follows that for one commodity economies no consumption allocation involving intertemporal transfers can belong to the core of the economy. In other words, no monetary equilibrium is socially viable. This result is no longer true for many goods models. For that case it is demonstrated that there exist bounds on the real value of equilibrium money purchases beyond which monetary equilibria are not socially viableand with many agents in every generation it is shown that as the economy becomes large and monetary (as well as IOU) equilibria become eventually excluded from the core of the economy. These results provide an analytical rationale for the fact that in most countries fiat money is legal tender.
Publisher: Springer Science & Business Media
ISBN: 3642467555
Category : Business & Economics
Languages : en
Pages : 209
Book Description
In this book overlapping generations economies are analysed from a game theoretical point of view and the social acceptability of consumption allocations is studied in infinite horizon models of pure exchange economieswith agents with finite lifetimes who behave cooperatively. The core of such economies and its relation with competitive equilibria, both walrasian and monetary and the essential characteristics of the overlapping generations model are examined. The author defines the problem of trust in intertemporal consumption allocations as a question of belonging or not to the core of economy and provides a full characterization of the core allocations for n-goods pure exchange economies with one agent per generation: a consumption allocation belongs to the core if and only it is Pareto optimal and Sequentially Individually Rational. From this it follows that for one commodity economies no consumption allocation involving intertemporal transfers can belong to the core of the economy. In other words, no monetary equilibrium is socially viable. This result is no longer true for many goods models. For that case it is demonstrated that there exist bounds on the real value of equilibrium money purchases beyond which monetary equilibria are not socially viableand with many agents in every generation it is shown that as the economy becomes large and monetary (as well as IOU) equilibria become eventually excluded from the core of the economy. These results provide an analytical rationale for the fact that in most countries fiat money is legal tender.