Adjustment Processes for Exchange Economies and Noncooperative Games PDF Download
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Author: Antoon van den Elzen
Publisher: Springer Science & Business Media
ISBN: 3642481337
Category : Business & Economics
Languages : en
Pages : 155
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Book Description
This monograph is a treatise on adjustment processes. We consider price adjustment processes in exchange economies and strategy adjustment processes in noncooperative games. In the most simple version of an exchange economy, i.e. a pure exchange economy, there exist markets on which prices are determined by the demand and supply created by a finite number of consumers willing to exchange their initial endowments in order to maximize their utilities. An equilibrium situation is attained if, for some price vector, demand equals supply in all markets. Starting from a situation not being an equi librium an adjustment process reaches an equilibrium via adaptations of prices. The advantage of the adjustment processes we will present in this monograph is that they exist and converge under far weaker assumptions than existing processes. The second subject concerns the problem of finding Nash equilibria in noncooperative games. A Nash equilibrium is a situation from which no player can improve his position by unilaterally changing his strategy. We present a new algorithm for finding such equilibria. The sequence of stra tegy vectors generated by the algorithm can be interpreted as the path followed by a strategy adjustment process.
Author: Antoon van den Elzen
Publisher: Springer Science & Business Media
ISBN: 3642481337
Category : Business & Economics
Languages : en
Pages : 155
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Book Description
This monograph is a treatise on adjustment processes. We consider price adjustment processes in exchange economies and strategy adjustment processes in noncooperative games. In the most simple version of an exchange economy, i.e. a pure exchange economy, there exist markets on which prices are determined by the demand and supply created by a finite number of consumers willing to exchange their initial endowments in order to maximize their utilities. An equilibrium situation is attained if, for some price vector, demand equals supply in all markets. Starting from a situation not being an equi librium an adjustment process reaches an equilibrium via adaptations of prices. The advantage of the adjustment processes we will present in this monograph is that they exist and converge under far weaker assumptions than existing processes. The second subject concerns the problem of finding Nash equilibria in noncooperative games. A Nash equilibrium is a situation from which no player can improve his position by unilaterally changing his strategy. We present a new algorithm for finding such equilibria. The sequence of stra tegy vectors generated by the algorithm can be interpreted as the path followed by a strategy adjustment process.
Author: Chuangyin Dang
Publisher: Springer Science & Business Media
ISBN: 3642487750
Category : Business & Economics
Languages : en
Pages : 199
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Book Description
As a new type of technique, simplicial methods have yielded extremely important contributions toward solutions of a system of nonlinear equations. Theoretical investigations and numerical tests have shown that the performance of simplicial methods depends critically on the triangulations underlying them. This monograph describes some recent developments in triangulations and simplicial methods. It includes the D1-triangulation and its applications to simplicial methods. As a result, efficiency of simplicial methods has been improved significantly. Thus more effective simplicial methods have been developed.
Author: Igor Konnov
Publisher: Springer Science & Business Media
ISBN: 3642568866
Category : Business & Economics
Languages : en
Pages : 190
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Book Description
Variational inequalities proved to be a very useful and powerful tool for in vestigation and solution of many equilibrium type problems in Economics, Engineering, Operations Research and Mathematical Physics. In fact, varia tional inequalities for example provide a unifying framework for the study of such diverse problems as boundary value problems, price equilibrium prob lems and traffic network equilibrium problems. Besides, they are closely re lated with many general problems of Nonlinear Analysis, such as fixed point, optimization and complementarity problems. As a result, the theory and so lution methods for variational inequalities have been studied extensively, and considerable advances have been made in these areas. This book is devoted to a new general approach to constructing solution methods for variational inequalities, which was called the combined relax ation (CR) approach. This approach is based on combining, modifying and generalizing ideas contained in various relaxation methods. In fact, each com bined relaxation method has a two-level structure, i.e., a descent direction and a stepsize at each iteration are computed by finite relaxation procedures.
Author: Van Hien Nguyen
Publisher: Springer Science & Business Media
ISBN: 3642570143
Category : Business & Economics
Languages : en
Pages : 512
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Book Description
The 9th Belgian-French-German Conference on Optimization has been held in Namur (Belgium) on September 7-11, 1998. This volume is a collection of papers presented at this Conference. Originally, this Conference was a French-German Conference but this year, in accordance with the organizers' wishes, a third country, Belgium, has joined the founding members of the Conference. Hence the name: Belgian French-German Conference on Optimization. Since the very beginning, the purpose of these Conferences has been to bring together researchers working in the area of Optimization and partic ularly to encourage young researchers to present their work. Most of the participants come from the organizing countries. However the general ten dancy is to invite outside researchers to attend the meeting. So this year, among the 101 participants at this Conference, twenty researchers came from other countries. The general theme of the Conference is everything that concerns the area of Optimization without specification of particular topics. So theoretical as pects of Optimization, in addition to applications and algorithms of Opti mization, will be developed. However, and this point was very important for the organizers, the Conference must retain its convivial character. No more than two parallel sessions are organized. This would allow useful contacts between researchers to be promoted. The editors express their sincere thanks to all those who took part in this Conference. Their invaluable discussions have made this volume possible.
Author: Pier C. Nicola
Publisher: Springer Science & Business Media
ISBN: 3642483992
Category : Business & Economics
Languages : en
Pages : 176
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Book Description
Economic theory of the last fifty years has been dominated by the paradigm of General Equilibrium Theory, based on the scientific work of Walras-Pareto-Cassel-Wald-Hicks-Arrow-De breu-McKenzie. Some of its grounding assumptions are: all prices are fully flexible; an auctioneer appropriately manipulates all prices according to the law of supply and demand; every con sumer has only one budget constraint; all agents are perfectly informed; no actions are taken by agents before a vector of prices has been found such that all markets clear. Indeed, when all markets clear every agent can implement her/his chosen (opti mal) action and nobody is urged to change his/her decisions. Under these assumptions it is generally said that in a (one pe riod, competitive) general equilibrium model there is no place for money. The present monograph takes general equilibrium as the ba sis on which to build the model presented. But its first aim is to completely dispense with the Walrasian auctioneer by giving firms the task of choosing their output price~ period after period.
Author: Sönke Hartmann
Publisher: Springer Science & Business Media
ISBN: 3642586279
Category : Business & Economics
Languages : en
Pages : 223
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Book Description
Approaches to project scheduling under resource constraints are discussed in this book. After an overview of different models, it deals with exact and heuristic scheduling algorithms. The focus is on the development of new algorithms. Computational experiments demonstrate the efficiency of the new heuristics. Finally, it is shown how the models and methods discussed here can be applied to projects in research and development as well as market research.
Author: Franco Nardini
Publisher: Springer Science & Business Media
ISBN: 3642566596
Category : Business & Economics
Languages : en
Pages : 187
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Book Description
In this book we intend to discuss economic fluctuations and growth and possible stabilizing fiscal policies. Since these topics are major preoccupa tions of economic theorists and have been extensively discussed since the classics, one may wonder why another book on these subjects. A possible defense is that we are going to do so in the framework of a two-sector model where the main featureS of each sector depend on the characteristics of the goods produced by the sector itself. The conventional wisdom suggests that the problem of (dis )aggregation in growth and business cycle theory is basically a quantitative one: the model should consider as many sectors, goods, and agents as necessary to provide a sufficiently rich picture, the upper bound obviously resulting from the tractability of the problem. In this attitude the same equilibrium (or diseqUilibrium) assumptions generally hold true throughout all sectors. Here we want to prove the relevance of an alternative approach: we look at the qualitative differences across sectors and at the peculiarities of each market as at the determinants of the economic dynamics. This tradition goes back over one hundred years to Tugan-Baranowkj and has been de veloped by Aftalion, Fanno, Spiethof, and Lowe, but has never been sys tematically formalized.
Author: Thomas Steger
Publisher: Springer Science & Business Media
ISBN: 3642457843
Category : Business & Economics
Languages : en
Pages : 161
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Book Description
Four stylised facts of aggregate economic growth are set up initially. The growth process is interpreted to represent transitional dynamics rather than balanced-growth equilibria. Against this background, the fundamental importance of subsistence consumption is comprehensively analysed. Subsequently, the meaning of the productive-consumption hypothesis for the intertemporal consumption trade-off and the growth process is investigated. Finally, the process of growth is analysed empirically by means of cross-sectional conditional convergence regressions with endogenous control variables.
Author: Herman S.J. Cesar
Publisher: Springer Science & Business Media
ISBN: 364245738X
Category : Mathematics
Languages : en
Pages : 234
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Book Description
This book deals with economic policy regarding the Greenhouse Effect using control and game models. First, a literature review is given of intertemporal optimisation models of environmental issues with special focus on the Greenhouse Effect. Next, the issue of sustainability is discussed for different specifications of the natural assimilation function. Furthermore, capital accumulation is considered both in abatement and in human capital. The international dimension is analysed next with focus on the difference between feedback and open-loop solutions, as well as on cooperative outcomes using trigger and renegotiation-proof strategies. Finally, second best forms of cooperation in the form of "issue linkage" and "technology transfers" are worked out.
Author: Andrey Garnaev
Publisher: Springer Science & Business Media
ISBN: 3642573045
Category : Business & Economics
Languages : en
Pages : 157
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Book Description
This book is on applications of game theory. The title of this book is not "Game Theory and its Applications" because it does not construct a general theory for considered games. The book contains a lot of examples of applica tion of game theory together with the background of those games considered and a list of unsolved problems. Also we consider only the game where the optimal strategies of the players are found in closed form. This book is an attempt to carryon the approach developed in nice books "Search Games" by Gal and "Geometric Games and their Applications" by Ruckle. The first chapter of this book supplies the required definitions and theorems from game theory. The second chapter deals with discrete search games where both players act simultaneously: the games of protection of a channel from infiltration of a submarine, the submarine versus helicopter game, the matrix search games and others. The third chapter considers the game where the players allocate their contin uous efforts. In these games players face up an alternative either not to come into contest if the cost of efforts seems too high, or come into it. In the last case the player have to decide how much resources they can afford to spend. The allocation models of search, antiballistic protection and marketing are investigated.
