We study preferences estimated from finite choice experiments and provide sufficient conditions for convergence to a unique underlying “true” preference. Our are weak and, therefore, valid in wide range of economic environments. develop applications expected utility theory, over consumption bundles, menu choice. framework unifies the revealed preference tradition with models that allow errors.

In this paper, we present several techniques of digital image processing that can be used in the recovering of damaged graphical documents. The ancient graphical documents give an important information in several subjects like history, ethnography or architecture reconstruction and then a good conservation and recovering is an important issue. The techniques presented are especially important w...