This preprint was accepted January 9, 2006
ABSTRACT: Models of repeated bidding for risky assets (shares) are considered. Such model with arbitrary bids was introduced in De Meyer, Saley (2002) for strategic reasoning of Brownian Motion appearence in the price evolution at finance markets. We consider the models with discrete admissible bids. We show that the optimal strategy of informed agent generates random walks of posterior probabilities over admissible bids.[Full text: (.ps.gz)]