10,930 research outputs found
A limit theorem on the core
Full text linkTrockel W. A limit theorem on the core. Journal of Mathematical Economics. 1976;3(3):247-264
Market demand is a continuous function of prices
Full text linkTrockel W. Market demand is a continuous function of prices. Economics letters. 1983;12(2):141-146.A natural class of probabilities on the space of consumers' preferences is presented for which market (i.e., mean) demand is a (continuous) function of prices although individual preferences may be non-convex
On uniform local dispersion on a family of G-orbits
Full text linkTrockel W. On uniform local dispersion on a family of G-orbits. Journal of Mathematical Analysis and Applications. 1986;118(1):173-179.Consider a topological space T which is the union of a family of G-orbits, where G is a locally euclidean group G acting on T. On every G-orbit consider a probability which is absolutely continuous with respect to the image measure of the normalized restriction of the Haar measure on some compact neighborhood of the identity in G. Assume that the densities of the probabilities on the orbits have a common upper bound. Let [mu] be a probability on T which is the integral over the measures on the orbits with respect to some probability [mu]' on T. It is shown that this specific kind of integral representation of [mu] does not depend on the size of the compact neighborhood of the identity in G
CLASSIFICATION OF BUDGET-INVARIANT MONOTONIC PREFERENCES
Full text linkTrockel W. CLASSIFICATION OF BUDGET-INVARIANT MONOTONIC PREFERENCES. Economics Letters. 1989;30(1):7-10.A linear utility representation theorem due to Blackwell and Girshick (1953) is used to answer the question as formulated by Grandmont (1987) whether Cobb-Douglas representable preferences are the only ones which are budget-invariant
An alternative proof for the linear utility representation theorem
Full text linkTrockel W. An alternative proof for the linear utility representation theorem. Economic Theory. 1992;2(2):298-302.The paper presents an alternative short proof for the linear utility representation theorem. In particular a generalization of the theorem of Blackwell and Girshick (1954) and a special case of the theorem of Herstein and Milnor (1953) are proved by exploiting the topological group structure of finite-dimensional Euclidean vector space
Price-dispersed preferences and C 1 mean demand
Full text linkDierker E, Dierker H, Trockel W. Price-dispersed preferences and C 1 mean demand. Journal of Mathematical Economics. 1984;13(1):11-42.In this paper we introduce the concept of price-dispersed preferences. Moreover we state conditions under which economies with price-dispersed preference distributions have a continuously differentiable mean demand function
On Maskin monotonicity of solution based social choice rules
Full text linkHaake C-J, Trockel W. On Maskin monotonicity of solution based social choice rules. Working Papers. Institute of Mathematical Economics. Vol 393. Bielefeld: Universität Bielefeld; 2007.Howard (1992) argues that the Nash bargaining solution is not Nash implementable, as it does not satisfy Maskin monotonicity. His arguments can be extended to other bargaining solutions as well. However, by defining a social choice correspondence that is based on the solution rather than on its realizations, one can overcome this shortcoming. We even show that such correspondences satisfy a stronger version of monotonicity that is even sufficient for Nash implementability
Smoothing demand by aggregation with respect to wealth
Full text linkDierker E, Dierker H, Trockel W. Smoothing demand by aggregation with respect to wealth. Journal of Mathematical Economics. 1980;7(3):227-247.We suggest in this paper to treat the problem of smoothing demand by aggregation in a two-step procedure, corresponding to the two different constituents of consumption characteristics, wealth and preferences. Instead of imposing a manifold structure on preferences we exploit the nice structure of wealth-space. The first step of this procedure, aggregation with respect to wealth, is carried out. It is shown that, for any preference, aggregation with respect to wealth yields a mean demand which is almost everywhere C 1. Moreover, it is shown that for an important class of preferences, vanishing Gaussian curvature of indifference surfaces does not destroy differentiability of the mean demand function
Über Informationsprobleme bei der Implementation von Mechanismen
Full text linkTrockel W. Über Informationsprobleme bei der Implementation von Mechanismen. Zeitschrift für Wirtschafts- und Sozialwissenschaften. 1991;111:207-226
An exact non-cooperative support for the sequential Raiffa solution
No full textTrockel W. An exact non-cooperative support for the sequential Raiffa solution. Journal of Mathematical Economics. 2011;47(1):77-83
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