Jace, the Perfected Mind
Legendary Planeswalker — Jace
Oracle Text
Compleated (
can be paid with 
or 2 life. If life was paid, this planeswalker enters with two fewer loyalty counters.)
+1: Until your next turn, up to one target creature gets -3/-0.
−2: Target player mills three cards. Then if a graveyard has twenty or more cards in it, you draw three cards. Otherwise, you draw a card.
−X: Target player mills three times X cards.
Rules for this card
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A keyword ability that causes a planeswalker to enter the battlefield with fewer loyalty counters if a player chose to pay life for Phyrexian mana symbols in its cost. See rule 702.150, “Compleated.”
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To mill a number of cards, a player puts that many cards from the top of their library into their graveyard. See rule 701.17.
Rulings (4)
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Wizards of the CoastOther replacement effects that would change the number of loyalty counters Jace enters with will apply as normal.
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Wizards of the CoastJace's second loyalty ability doesn't care which player's graveyard has twenty or more cards in it. It could be the target player's or another player's.
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Wizards of the CoastA Phyrexian mana symbol contributes 1 toward the mana value of a card, even if life is paid for it. Specifically, Jace's mana value is always 4.
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Wizards of the CoastThe compleated ability looks only at whether a player chose to pay 2 life for a Phyrexian mana symbol as they were casting the spell. If a player paid life for some other reason while casting the spell, that will not reduce the number of loyalty counters the planeswalker enters the battlefield with.