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Static and Dynamic Aspects of General Disequilibrium Theory
Mathematical economics uses mathematical tools and reasoning to describe and explain economic reality. At the core of mathematical economics is general equilibrium theory. Static and Dynamic Aspects of General Disequilibrium Theory describes and analyses various general equilibrium models, treating theory from an axiomatic point of view, which may lead to a deeper understanding of problems, may help to avoid incorrect reasoning, and may improve communication within the economic science. This volume consists of four parts, each of which is self-contained. Part I deals with the mathematical and economic preliminaries. Part II considers the static aspects of disequilibrium theory. Part III determines price rigidities endogenously. Finally, Part IV deals with dynamic aspects of disequilibrium theory.
Equilibrium, Markets and Dynamics
This book contains essays in honour of Claus Weddepohl who, after 22 years, is retiring as professor of mathematical economics at the Department of Quantitative Economics of the University of Amsterdam. Claus Weddepohl may be viewed as th~ first Dutch mathematical economist in the general equi librium tradition of Arrow, Debreu and Hahn. The essays in this book are centered around the themes Equilibrium, Markets and Dynamics, that have been at the heart of Weddepohl's work on mathematical economics for more than three decades. The essays have been classified according to these three themes. Admittedly such a classification always is somewhat arbitrary, and most essays would in fact fit into ...
Algorithmic Game Theory
This book constitutes the proceedings of the 15th International Symposium on Algorithmic Game Theory, SAGT 2022, which took place in Colchester, UK, in September 2022. The 31 full papers included in this book were carefully reviewed and selected from 83 submissions. They were organized in topical sections as follows: Auctions, markets and mechanism design; computational aspects in games; congestion and network creation games; data sharing and learning; social choice and stable matchings.
Explaining Games
Does game theory - the mathematical theory of strategic interaction - provide genuine explanations of human behaviour? Can game theory be used in economic consultancy or other normative contexts? Explaining Games: The Epistemic Programme in Game Theory - the first monograph on the philosophy of game theory - is a bold attempt to combine insights from epistemic logic and the philosophy of science to investigate the applicability of game theory in such fields as economics, philosophy and strategic consultancy. De Bruin proves new mathematical theorems about the beliefs, desires and rationality principles of individual human beings, and he explores in detail the logical form of game theory as i...
Institutions, Equilibria and Efficiency
Competition and efficiency is at the core of economic theory. This volume collects papers of leading scholars, which extend the conventional general equilibrium model in important ways: Efficiency and price regulation are studied when markets are incomplete and existence of equilibria in such settings is proven under very general preference assumptions. The model is extended to include geographical location choice, a commodity space incorporating manufacturing imprecision and preferences for club-membership, schools and firms. Inefficiencies arising from household externalities or group membership are evaluated. Core equivalence is shown for bargaining economies. The theory of risk aversion is extended and the relation between risk taking and wealth is experimentally investigated. Other topics include determinacy in OLG with cash-in-advance constraints, income distribution and democracy in OLG, learning in OLG and in games, optimal pricing of derivative securities, the impact of heterogeneity at the individual level for aggregate consumption, and adaptive contracting in view of uncertainty.
Advances in Mathematical Economics Volume 14
A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories. The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research.
Ibss: Economics: 2001
IBSS is the essential tool for librarians, university departments, research institutions and any public or private institution whose work requires access to up-to-date and comprehensive knowledge of the social sciences.
Walrasian Economics
In order to understand the various strands of general equilibrium theory, why it has taken the forms that it has since the time of Léon Walras, and to appreciate fully a view of the state of general equilibrium theorising, it is essential to understand Walras's work and examine its influence. The first section of this book accordingly examines the foundations of Walras's work. These include his philosophical and methodological approach to economic modelling, his views on human nature, and the basic components of his general equilibrium models. The second section examines how the influence of his ideas has been manifested in the theorising of his successors, surveying the models of theorists such as H. L. Moore, Vilfredo Pareto, Knut Wicksell, Gustav Cassel, Abraham Wald, John von Neumann, J. R. Hicks, Kenneth Arrow, and Gerard Debreu. The treatment also examines models of many types in which Walras's influence is explicitly acknowledged.
No Prices No Games!
While current economic theory focuses on prices and games, this book models economic settings where harmony is established through one of the following societal conventions: • A power relation according to which stronger agents are able to force weaker ones to do things against their will. • A norm that categorizes actions as permissible or forbidden. • A status relation over alternatives which limits each agent's choices. • Systematic biases in agents' preferences. These four conventions are analysed using simple and mathematically straightforward models, without any pretensions regarding direct applied usefulness. While we do not advocate for the adoption of any of these conventions specifically – we do advocate that when modelling an economic situation, alternative equilibrium notions should be considered, rather than automatically reaching for the familiar approaches of prices or games.
The Theory of Markets
Is an equilibrium reached in a de-centralized economy, and if so, what type of equilibrium? What happens if price formation is subject to rigidities? What are the consequences of missing markets, for example for future commodities? Which markets evolve in case of bounded rationality, incomplete information and externalities? How should markets be regulated? How does monetary policy affect the functioning of markets? of the central questions in economic theory - how do markets operate and do they function at all in allocating scarce commodities and resources?
