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When you have multiple buy signals, but not enough cash, amibroker has to make a choice as to which ticker to buy. By default it will go by alphabetical order (giving "A" preference").
Positionscore Random randomises it so it becomes more realistic. If your equity cruve varies too much when you randomise the trades, then your system probably isn't robust enough.
Greetings --
BillyB is correct in his explanation of the way AmiBroker determines which trades to take and how it uses PositionScore.
But I recommend thinking through the implications of using a random positionscore. Imagine that you have signals to buy 20 different issues at tomorrow's opening price, but only enough cash to buy 10 of them. Would you feel confident rolling the 20-sided dice to pick which ones to take with real money? If yes, then use random. If no, then decide what criteria you would use to rank order the twenty and code that into positionscore.
Thanks,
Howard