A discretionary order is an order that allows the broker to delay the execution at its discretion to try to get a better price. These are sometimes called not-held orders.
Read more about this topic: Order (exchange)
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“There are instances when we are like horses, we psychologists, and grow restless: we see our own shadow wavering up and down before us. A psychologist must look away from himself in order to see anything at all.”
—Friedrich Nietzsche (1844–1900)