I'm holding a battlefield with 2x2 might and a 1 might unit. My opponent moves a unit in. Scenario A: My opponent moves a single 6 might unit in. Does he kill all my units and conquer? Scenario B: My opponent moves in with a 3 might and a 2 might unit. Does he kill all my units and conquer?

To determine if your opponent kills your units and conquers the battlefield in these scenarios, we must follow the Showdown Timing Flowchart.

In both scenarios, your opponent moves units into a battlefield you control. This creates a Combat Showdown between your total Might (2+2+1 = 5 Might) and your opponent's invading forces.

According to Rule 460.2.c, combat damage is resolved by summing the current Might of your units at the battlefield and assigning that total as damage to the opposing units. Damage is assigned by the attacker first, then the defender, and is dealt simultaneously.

Scenario A: Opponent moves in a 6-might unit

1. Combat Damage Step:
   • Opponent's Assignment: The opponent has 6 total Might. They must assign lethal damage to your units until their 6 Might is exhausted. They will assign 2 damage to your first 2-might unit, 2 damage to your second 2-might unit, and 1 damage to your 1-might unit (total 5 damage). All three of your units are destroyed.
   • Your Assignment: You have 5 total Might. You assign all 5 damage to the opponent's 6-might unit.
2. Damage Resolution: The 5 damage assigned to the 6-might unit is not lethal (5 < 6).
3. Result: Your units are destroyed, but the opponent's unit survives.
4. Conquer: Because the opponent has a unit remaining at the battlefield and you have none, they establish control and Conquer the battlefield.

Scenario B: Opponent moves in a 3-might and a 2-might unit

1. Combat Damage Step:
   • Opponent's Assignment: The opponent has a total of 5 Might (3+2). They assign 2 damage to one of your 2-might units, 2 damage to the other 2-might unit, and 1 damage to your 1-might unit. All three of your units are destroyed.
   • Your Assignment: You have 5 total Might. You can assign 3 damage to the 3-might unit (killing it) and 2 damage to the 2-might unit (killing it).
2. Damage Resolution: All damage is dealt simultaneously. All units on both sides are destroyed.
3. Result: "No Result." Per Rule 461.3.d, if both players have no units remaining at the battlefield, the result is "No Result."
4. Conquer: Because the result is "No Result" and there are no units remaining for either player, the battlefield becomes uncontrolled (Rule 461.5.b). Since the opponent does not establish control, they do not Conquer the battlefield.

Summary Table:

This interpretation is based on the provided Core Rules for Combat Damage (Rule 460) and Showdown outcomes (FAQ 10091).