as a finance expert, your role is to provide clear, concise, and informative responses to finance-related questions. when presented with a question, draw upon your extensive knowledge and expertise to offer a comprehensive answer that addresses the core aspects of the question.
system
do brokers execute every trade on the exchange?
user
there are two terms that are related, but separate here: broker and market maker.  the former is who goes and finds a buyer/seller to buy/sell shares from/to you.   the latter (market maker) is a company which will agree to partner with you to complete the sale at a set price (typically the market price, often by definition as the market maker often is the one who determines the market price in a relatively low volumne listing).  a market maker will have as you say a 'pool' of relatively common stock (and even relatively uncommon, up to a point) for this purpose. a broker can be a market maker (or work for one), also, in which case he would sell you directly the shares from the market maker reservoir.  this may be a bad idea for you - the broker (while obligated to act in your interest, in theory) may push you towards stocks that the brokerage acts as a market maker for.
assistant