Journal ArticleDOI
Walras degrees and probability of a blocking coalition at pareto allocations
TLDR
In this paper, the probability of a blocking coalition from a notion of being non-Walrasian which does not rely on the explicit use of norms is determined, where the key concept introduced is that of Walras degrees.About:
This article is published in Journal of Mathematical Economics.The article was published on 1984-10-01. It has received 5 citations till now. The article focuses on the topics: Conditional probability & Blocking (statistics).read more
Citations
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Journal ArticleDOI
On blocking coalitions: Linking Mas-Colell with Grodal-Schmeidler-Vind
TL;DR: In this paper, the authors investigated the question of how many coalitions of a given relative size would block a non-Walrasian allocation in large finite economies, and they showed that the proportion of blocking coalitions in the set of all coalitions with relative size between [alpha] and [beta], is arbitrarily close to 1/2.
Journal ArticleDOI
On the maximum number of balancing subsets
TL;DR: In this paper, the maximum number of balancing subsets for given n real numbers is discussed, where a subset of the set {1,…,ir} is called a balancing subset if ai1 + … + air = 0.
Journal ArticleDOI
On Blocking Coalitions: Linking Mas-Colell with Grodal-Schmeidler-Vind
TL;DR: In this paper, the authors investigated the question of how many coalitions of a given relative size would block a non-Warlasian allocation in large finite economies, and they showed that the proportion of blocking coalitions in the set of all coalitions with relative size between [alpha] and [beta], is arbitrarily close to 1/2.
References
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Book ChapterDOI
Probability Inequalities for sums of Bounded Random Variables
TL;DR: In this article, upper bounds for the probability that the sum S of n independent random variables exceeds its mean ES by a positive number nt are derived for certain sums of dependent random variables such as U statistics.
Journal ArticleDOI
Markets with a continuum of traders
TL;DR: In this paper, it is shown that the core of a market coincides with the set of its equilibrium allocations, i.e., allocations which constitute a competitive equilibrium when combined with an appropriate price structure.