Math Is Fun Forum

Here is a very nice puzzle.Anyone having a solution post on this thread
9 people hold 5119 shares in a company. In every decision voting, any subset or all of the 9 people can participate.If a person participates in voting, he/she can either vote FOR or AGAINST the decision. The number of votes is equal to the number of shares a person holds. For every decision there shouldn't be a TIE between the two choices. In a decision, a group with smaller number of people should never win over higher number of people. What is the least number of shares a person can hold?