Combat damage is assigned in APNAP order. Other than that, the combat damage step proceeds just as in a two-player game. See rule 510, “Combat Damage Step.”
May 3, 2019 · War of the Spark
After blockers have been declared, if any creatures are blocking multiple creatures, each defending player in APNAP order announces the damage assignment order among the attacking creatures for each blocking creature they control. See rule 510, “Combat Damage Step.”
January 25, 2019 · Ravnica Allegiance
After blockers have been declared, if any creatures are blocking multiple creatures, each defending player in APNAP order announces the damage assignment order among the attacking creatures for each blocking creature they control. See rule 510, "Combat Damage Step."
April 27, 2018 · Dominaria
After blockers have been declared, if any creatures are blocking multiple creatures, each defending player in APNAP order announces the damage assignment order among the attacking creatures for each blocking creature they control. See rule 510, “Combat Damage Step.”
May 1, 2014 · Journey into Nyx
After blockers have been declared, if any creatures are blocking multiple creatures, each defending player in APNAP order announces the damage assignment order among the attacking creatures for each blocking creature he or she controls. See rule 510, “Combat Damage Step.”
September 30, 2011 · Innistrad
After blockers have been declared, if any creatures are blocking multiple creatures, each defending player in APNAP order announces the damage assignment order among the attacking creatures for each blocking creature he or she controls. See rule 510, "Combat Damage Step."
June 17, 2011 · Commander 2011
After blockers have been declared, if any creatures are blocking multiple creatures, each
April 1, 2011 · Duel Decks: Knights vs. Dragons
After blockers have been declared, if any creatures are blocking multiple creatures, each defending player in APNAP order announces the damage assignment order among the attacking creatures for each blocking creature he or she controls. See rule 510, "Combat Damage Step."
February 4, 2011 · Mirrodin Besieged
After blockers have been declared, if any creatures are blocking multiple creatures, each defending player in APNAP order announces the damage assignment order among the attacking creatures for each blocking creature he or she controls. See rule 510, “Combat Damage Step.”
October 1, 2010 · Scars of Mirrodin
After blockers have been declared, if any creatures are blocking multiple creatures, each
February 1, 2010 · Worldwake
After blockers have been declared, if any creatures are blocking multiple creatures, each defending player in APNAP order announces the damage assignment order among the attacking creatures for each blocking creature he or she controls. See rule 510, "Combat Damage Step."