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Titlebook: Computing Equilibria and Fixed Points; The Solution of Nonl Zaifu Yang Book 1999 Springer Science+Business Media Dordrecht 1999 economics.e

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Variable Dimension Restart Algorithms, the variable dimension restart algorithm. So when the accuracy of the current approximate solution is not satisfactory, the algorithm can be restarted at this approximate solution with a finer triangulation in the hope that within a small number of steps a better approximate solution is found. In p
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The Computation of a Continuum of Zero Points of a Point-to-Set Mapping,points from level zero to level one since . is a free variable, it is by no means easy to prove this. Amann [1972] presented a theorem for the existence of three fixed points. This theorem says: Let .. = {. ∈ ℝ. | .. ≪ . ≪ υ .} for . ∈ .. and . = {. ∈ ℝ. | .. ≪ . ≪ υ.} where .. ≪ υ., .. ≪ .., .. ≤ .
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,Gröbner Bases for Solving Multivariate Polynomial Equations,e that this short description does not properly convey the true significance of Buchberger’s contribution. The reader is referred to the excellent books by Cox, Little and O’Shea [1996] and Adams and Loustaunau [1994] for more details on the impact of Buchberger’s work. We also refer to Wu [1984] an
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Intersection Theory,x can be found in Shapley [1973], Freidenfelds [1974], Gale [1984], Freund [1984b], Ichiishi [1988], and Joosten and Tal-man [1993]. The above theorems all build upon bounded sets. Helly [1923] proved the following different type of intersection theorem on an unbounded set. Let .., . ∈ .. be convex
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Applications in Game Theory and Economics,o study and analyze the outcomes of an economic system or a society in a broader sense, we may put the underlying problems into the framework of game theory or deal with them by means of general equilibrium theory. Both theories can be regarded as complementary methodologies rather than substitutes.
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