Core Equivalence for Economy under Rough Sets Information

T. Matsuhisa (Japan)


Belief, Rough set, Information, Core equivalence theorem, Exchange economy under uncertainty, Expectations equi librium in belief, Expost core, Multimodal logic, Data mining.


We reconsider the core equivalence theorem for a pure ex change economy under uncertainty from a rough set the oretical point of view in data mining; the traders are as sumed to have a multi-modal logic of belief and to make their decision under uncertainty represented by rough sets. We propose a generalized notion of rational expectations equilibrium, called expectation equilibrium in belief for the economy, and we show an extension of the core equiva lence theorem of Aumann: An allocation in the economy is ex-post core if and only if it is an expectations equilib rium allocation in belief with respect to some price system.

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