Sequential decisions under uncertainty and the maximum theorem

Article Abstract:

A topology for the space of probability distributions utilizes a novel approach in analyzing a given maximization problem. The maximization problem was analyzed in terms of conditional distributions instead of processes. The topology for exogenous processes that controls conditional distributions is based on a weak convergence. The conditional expectations are implicitly included by referring to the weak convergence when controlling the behavior of conditional distributions.

Research and Development in the Physical, Engineering, and Life Sciences, Economics, Research and Development in the Social Sciences and Humanities, Mathematics, Methods, Economic aspects, Dynamic programming, Sequential analysis, Uncertainty, Topological spaces

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The Walras core of an economy and its limit theorem

Article Abstract:

A comparative analysis of implications of Walrasian economics and Edgeworth core is presented. Walrasian limit theorem is also analyzed.

United States, Comparative analysis, Walrasian model, Central limit theorem

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A discrete fixed point theorem and its applications

Article Abstract:

The proof of a fixed point theorem is provided.

Tests, problems and exercises, Theorems (Mathematics), Fixed point theory, Discrete mathematics

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