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Titlebook: Market Demand; An Analysis of Large Walter Trockel Book 1984 Springer-Verlag Berlin Heidelberg 1984 Aggregation.Gleichgewicht (Wirtsch.).Ma

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Mathematical Tools,(x, y) ∈ φ} are . of φ.If φ . ≠ ø for every x ∈ X, we call φ a . from X into Y, and write φ: X → Y: x ↦ φ(x) ≡φ.. If for all x ∈ X one has # φ(x) = 1, then the correspondence φ can be identified with a . f: X → Y such that φ(x) = {f (x)}. The sets φ.(M) = {x ∈ X ∣φ (x) ⊂ M) and s φ. (M) = {x ∈ X∣φ (
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Other Approaches,In this section I refer to the work of Allen (1982) which is concerned with deriving C. mean demand. An economy is characterized in this context as a distribution on C. monotone utility functions and endowment vectors.
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Introduction,described as follows:.Consider a group of individuals and for each individual a decision problem, which depends on a common parameter. If the results of the individual decision processes are aggregated, what can be said about the aggregate outcome and its dependence on the parameter?
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Smoothing Demand by Aggregation,y the above headline. Although the word “smooth” has well defined technical meanings — for example functions are smooth if they are of class C. — the non-technical use is well suited for tracing back these problems in the history of economic theory.
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The Parametric Approach,ight understanding and evaluation of what is presented in these next three chapters. We will be interested in distinguishing classes of distributions on consumers’ characteristics for which mean demand is well behaved, i.e., C. or C..
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