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, Ex-post core, Multi-modal 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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