Bargaining model with incomplete information

A theoretical game model of bargaining between buyers and sellers with incomplete information related to deals is considered. A player (buyer or seller) has a private information about his reserved price. Reserved prices are random variables with known probability distributions. Each player declares a price which depends on his reserved price. If the bid price is above the quoted price the goods is sold for the average of two prices. Otherwise there is no deal. Two types of Bayes equilibrium are derived. One of them is a threshold form another is a solution of a differential equation system. Some numerical results are presented.