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In most cases piece A has the same chance of beating piece B whichever attacks, and this seems too much of a change. It would be less of a change if each piece had a better chance when attacking than when attacked, e.g. a Queen attacking a Queen requiring a score of 4 or more on 8-sided dice. In wargaming terms this could represent the attacked piece being taken by surprise, not knowing from which direction the attack will come.