Customer Reviews:
ERRORS ARE RAMPANT!!.......2006-11-10
While the content is pretty good the number of errors in this would result in an "F" if a high school student had submitted this work. There are parts that are unusable because of the rampant errors that fundamentally change outcomes of problems and understanding of concepts.
Anyone that bought this book should either receive full refund or at least a free copy of the update. I would STRONGLY urge instructors not to use this book or students not to buy it until some MAJOR revisions (and proofreads) are made.
Great ideas, poor execution.......2006-06-28
I like this book and would happily use it for advanced undergrad courses due to the number of practical economic examples. However, there are so many mathematical errors that it is just too frustrating for both students and professors.
Excellent.......2003-11-11
Excellent! Great examples and easy to understand. Should be used in all introduction to game theory courses.
This is a wonderful book.......2000-04-10
I found this book to be very useful when teaching advanced level economic students. It was well written, witty, and overall... excellent.
A good introduction in game theory.......1999-12-18
I use this book as a part of advanced ug micro component at one of the UK universities. The book uses a clear concept-building approach with examples. I give B/F four stars since the fifth star is yet to be earned in subsequent editions. Why? There are simply far too many mistakes left in this edition. Which cannot be tolerated when game theory is the subject of discussion. Just try to work through examples involving perfect Bayesian equilibria. Your solution just won't match the one provided in the text. And it turns out it is not you who is stupid. The game tree has a wrong payoff at one of the terminal nodes. :)))
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Handbook of Game Theory with Economic Applications Volume 3 (Handbooks in Economics) (Handbooks in Economics)
Manufacturer: North Holland
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Binding: Hardcover
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Handbook of Mathematical Economics. THREE VOLUME SET (Handbooks in economics)
ASIN: 0444894284 |
Book Description
This is the third volume of the
Handbook of Game Theory with Economic Applications. Since the publication of multi-Volume 1 a decade ago, game theory has continued to develop at a furious pace, and today it is the dominant tool in economic theory. The three volumes together cover the fundamental theoretical aspects, a wide range of applications to economics, several chapters on applications to political science and individual chapters on applications to disciplines as diverse as evolutionary biology, computer science, law, psychology and ethics. The authors are the most eminent practitioners in the field, including three Nobel Prize winners.
The topics covered in the present volume include strategic ("Nash") equilibrium; incomplete information; two-person non-zero-sum games; noncooperative games with a continuum of players; stochastic games; industrial organization; bargaining, inspection; economic history; the Shapley value and its applications to perfectly competitive economies, to taxation, to public goods and to fixed prices; political science; law mechanism design; and game experimentation.
Book Description
One of the problems in economics to which economists have devoted a considerable amount of attention in recent years has been to ensure consistency in the models they employ. Assuming markets to be generally in some state of equilibrium, it must be asked under what circumstances such an equilibrium is possible. The fundamental mathematical tools used to address this concern are fixed point theorems. These outline the conditions under which sets of assumptions have a solution. This book gives the reader access to the mathematical techniques involved and goes on to apply fixed point theorems to proving the existence of equilibria for economics and for cooperative and non-cooperative games. Special emphasis is given to economics and games in cases where the preferences of agents may not be transitive. In addition, the author presents new proofs of old results in order to further clarify the results. He also proposes new results, notably in the last chapter, that refer to the core of a game without transitivity. This book will be useful as a text or reference work for mathematical economists and graduate and advanced undergraduate students.
Customer Reviews:
An excellent survey of more than fixed point theorems........2000-06-02
The author compiles theorems, definitions, and properties on a number of topics. There's some convex analysis, maximization of binary relations, fixed point and selection theorems, and various sufficient conditions for existence of equilibria in games and economies.
A nice feature is that the author explains the equivalence or interconnectedness of theorems from different classes -- comparing the KMM lemma to Brouwer's fixed pt. thm., for instance.
This book is extremely useful for its many variations on common principles. Researchers can benefit from consulting it when they have a problem which does not satisfy the usual criteria -- for instance, if you ever have to ask, "I have a correspondence which satisfies all the conditions for Kakutani's theorem except that it is l.h.c. rather than u.h.c.; am I still able to guarantee a fixed point?"
Grad students in micro/game theory can benefit from the survey of theorems, and familiarizing themselves with the many ways they can get to desired results.
The book is compact and thorough with little exposition. Definitions are very clear, and the author is very good at noting when definitions vary, or the same term has multiple definitions in the literature. Though it presents itself as a mathematical text, its audience is clearly economists -- the conditions given and situations described are clearly ones that economists will recognize, and the applications are economic.
A very nice book for people who already know the applications of such theorems and who need minimal explanation.
the best buy.......2000-03-26
The author, one of the most prominet professors in mathematical economics surveyed fixed point theorems. The theorems are often used to prove the existence of solutions in game theory and economics. If you major in mathematical economics or game theory, you can't avoid to buy this book.
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- Excelent review of bargaining theory
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Bargaining Theory with Applications
Abhinay Muthoo
Manufacturer: Cambridge University Press
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ASIN: 0521576474 |
Book Description
The first unified and systematic treatment of the modern theory of bargaining, presented together with many examples of how that theory is applied in a variety of bargaining situations. Abhinay Muthoo provides a masterful synthesis of the fundamental results and insights obtained from the wide-ranging and diverse (game theoretic) bargaining theory literature. Furthermore, he develops new analyses and results, especially on the relative impacts of two or more forces on the bargaining outcome. Many topics - such as inside options, commitment tactics and repeated bargaining situations - receive their most extensive treatment to date. In the concluding chapter, he offers pointers towards future research. Bargaining Theory with Applications is a textbook for graduate students in economic theory and other social sciences and a research resource for scholars interested in bargaining situations.
Customer Reviews:
Excelent review of bargaining theory.......2000-05-09
This is an excelent and rigorous review of the literature on bargaining theory. Its a good place to start the study of barganing as well as a good reference for people familiar with the subject.
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Nonsmooth Approach to Optimization Problems with Equilibrium (Nonconvex Optimization and Its Applications)
J. Outrata ,
M. Kocvara , and
J. Zowe
Manufacturer: Springer
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ASIN: 0792351703 |
Book Description
This book presents an in-depth study and a solution technique for an important class of optimization problems. This class is characterized by special constraints: parameter-dependent convex programs, variational inequalities or complementarity problems. All these so-called equilibrium constraints are mostly treated in a convenient form of generalized equations. The book begins with a chapter on auxiliary results followed by a description of the main numerical tools: a bundle method of nonsmooth optimization and a nonsmooth variant of Newton's method. Following this, stability and sensitivity theory for generalized equations is presented, based on the concept of strong regularity. This enables one to apply the generalized differential calculus for Lipschitz maps to derive optimality conditions and to arrive at a solution method. A large part of the book focuses on applications coming from continuum mechanics and mathematical economy. A series of nonacademic problems is introduced and analyzed in detail. Each problem is accompanied with examples that show the efficiency of the solution method.
This book is addressed to applied mathematicians and engineers working in continuum mechanics, operations research and economic modelling. Students interested in optimization will also find the book useful.
Book Description
This introductory textbook presents optimization theory and computational algorithms useful in practice. The approach is practical and intuitive, rather than emphasizing mathematical rigor. Computationally oriented books in this area generally present algorithms alone, and expect readers to perform computations by hand. Some books are written in traditional computer languages, such as Basic, Fortran or Pascal. The programs in this text help with computations. This book is the first text to use Mathematica to develop thorough understanding optimization algorithms, fully exploiting Mathematica's symbolic, numerical and graphic capabilities.
Customer Reviews:
My Optimisation Companion.......2003-10-31
Practical Optimization Methods - M.Asghar Bhatti
This is my favorite optimisation book. I recommend it to anyone interested in the application of optimisation techniques, in particular for those in industry. This book has been a constant companion in my optimisation adventure and unlike other books; it has helped me firmly establish a solid foundation and understanding on the various optimisation techniques and the theories behind them. Believe me, I can even read those books which I have shelved in the past because they were complicated with too many cryptic mathematical statements. They don't scare me anymore.
Bhatti wisely used Mathematica as the teaching platform and the accompanying OptimizationToolbox software allows one to brush aside the cryptic mathematical statements. The reader can now concentrate on the concepts, relegating the mathematics manipulations to Mathematica and the functions of the OptimisationToolbox. What I like about this book is that it also shows how the Taylor Series, the Quadratic Form and convexity requirements are put into practice to create an iterative scheme to solve a system of non-linear equations. The OptimisationToolbox and the internal Mathematica functions seamlessly pace the reader through the mathematical preliminaries. By the end of Chapter 3, the reader should now be a good shape to go to the more serious stuffs.
Chapter 4 deals with the subject of optimality conditions starting first with the optimality conditions for unconstrained optimisation problems. These conditions, albeit slightly more involved in computation, are essentially the same as the optimality conditions for single variable functions of the high school days. The "slightly involved" computations are those of the Grad (1st Order and Necessary Condition) and the Hessian (2nd Order and Necessary). Mathematica graphics are put to great effect to help visualize the meaning of these conditions.
The additive property of constraints, which was dealt with in graphic detail, extends the earlier ideas behind the optimality conditions for an unconstrained optimisation to that for constrained optimisation problems.
The introduction to Chapter 5 gives an excellent overview of issues in solving unconstrained problems. Basically, all solution schemes covered in this chapter involve two steps. The first step is a simple iterative scheme, which requires a direction and a step length. The second step is a termination condition, taken as when the gradient of objective function, which should be zero at the optimal point, is sufficiently close to within a specified tolerance to zero.
The process of computing the step length in for a particular search direction is known as the line search. The line search methods (including Mathematica algorithms) covered include analytical line search, equal interval search, section search, the Golden Section search, the Quadratic Interpolation Method and the Approximate Line Search based on Armijo's rule.
As for the search direction, one obvious choice would be along the direction of greatest negative change - the Steepest Descent Method. The performance of this method can suffer badly as it zigzag search scheme slows down to a crawl as it approaches the optimal point. One improvement would be to retain some potion of the previous search direction, so the resultant search pattern is not successively perpendicular to each other but somewhere in between. This approach of adding some potion of the previous direction is known as the Conjugate Gradient Method. The two "some previous direction potion" schemes covered and included as Mathematica functions are the Fletcher-Reeves and the Polak-Ribiere schemes. Other numerical methods covered include the Modified Newton and the Quais-Newton Methods. One drawback of latter approach is the computation of the Hessian Matrix at each iteration step. The Quasi-Newton Methods do not require the computation of the Hessian Matrix. Instead they use some inverse Hessian update methods. Two such methods covered are the DFP (Davidon, Fletcher, and Powel) Update and the BFGS (Broyden, Fletcher, Goldfarb, and Shannon) Update. Don't be intimidated by all these jargons, Mathematica functions including graphic functions are provided to provide a step-by-step explanation and presentations of the various concepts are provided.
The section on Linear Programming is extensive, in comparison to other chapters. I was tempted to skim over this LP section because the technique is well known and there are many industry standard LP algorithms on the market so why spend too much time on it. However, my curiosity got the better of me and I must confess that the combination of the accompanying OptimisationToolbox and Mathematica Graphics makes the revision on Linear Programming entertaining and interesting. The section started with an overview of issues involved in solving an underdetermined system of linear equations; going over the Gauss-Jordan, LU decomposition and introduction of slack variables to convert the LP problem into its standard form. The simplex algorithm is introduced in three styles: Simplex Tableau, Basic Simplex and Revised Simplex. The first two simplex styles, as Mathematica functions by the way, are intended to show the sequence of steps of the simplex algorithm. For large problems, however, the above LP methods may take a long time and researchers have developed better search methods such as the interior point method. The interior point method, as its name implies, starts from an interior feasible point and takes appropriate steps alone descent directions towards the optimal point.
Chapters 8 & 9 adequately covered the subject of quadratic programming and constrained nonlinear problems. However, they concentrated only on local optimisation techniques. Inclusion of global optimisation methods such as Simulated Annealing (SA), Genetic Algorithms (GA), Discrete Gradient Methods (DGM), Hooke-Jeeves, Nelder and Mead, and Powell methods would have made the book a complete guide to practical optimisation.
My favorite Optimisation Book - Clear and Useful
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Game Theory with Applications to Economics
James W. Friedman
Manufacturer: Oxford University Press, USA
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Binding: Hardcover
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ASIN: 0195036603 |
Book Description
This comprehensive new text is an excellent introduction to game theory, acessible to undergraduate and graduate students with a moderate background in mathematics. Using examples from both economics and politics, it covers cooperative and non-cooperative game theory illustrating the breadth
and depth of its influence on economics. The book begins with an introduction to the subject, followed by a chapter on two-person zero-sum games with (Nash) noncooperative equilibrium for n-person noncooperative games, touching on both uniqueness of equilibrium and on games of incomplete
information. Middle chapters treat the most recent material on noncooperative supergames and trigger strategy equilibria, cooperation supported by self-enforcing agreements, and refinements of the Nash noncooperative equilibrium such as perfect equilibrium and sequential equilibrium. Later
chapters cover two person cooperative games and solution concepts for cooperative games having transferable utility. The final chapter deals with the generalizations of the core and the Shapley value to nontransferable utility games. Realistic examples and problems from economic literature appear
in every chapter, illustrating the wide scope of the theory's applications in economics.
Book Description
This digital document is a journal article from Journal of Economic Theory, published by Elsevier in 2005. The article is delivered in HTML format and is available in your Amazon.com Media Library immediately after purchase. You can view it with any web browser.
Description:
We offer a new algorithm for analyzing innovation timing games. Its main advantage over the traditional approach is that it applies to problems that had previously been intractable. We use the algorithm to examine two classical innovation problems. We find that the competition takes the form of a waiting game with a second-mover advantage either for any level of R&D costs (process innovation) or for high R&D costs (product innovation). Moreover, both models predict that the second-mover advantage is monotonically increasing in the costs of R&D.
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