An electronic trading system including various rules is described herein. Many of the rules relate to implementing periods of exclusive priority in trading. For example, in one of the rules, an exclusive period of trading may be controlled by an aggressor and a designated passive participant. The aggressor may have exclusive rights on his side of the trade at a particular price point for a particular time. The aggressor may elect to change the price point at which he controls the trade to a new price point which is more favorable to him. Thereafter, another participant may assume the exclusivity of the trade by entering the trade on the same side of the aggressor at the old price point. In so doing, the other participant also preferably truncates the aggressor's exclusivity at the new price point.