Thanks for providing the details. Here's the decision tree for the game:

(Novaria) (Arcadia) (Valoria)

/ | \ / | \ / | \

ACME ATLAS STELLAR PHOENIX BELTA BORIZON CROWN ELITE VICTORY

/ | | | / | | | / | | | | \

PR RoL Ed RoL PR RoL TB RoL PR RoL Ed RoL RoL RoL

| | | | | | | | | | | | | |

L C L C TB L L L TB L C L C C

The boxes with rounded edges represent the players' moves or decisions, and the boxes with straight edges represent the payoffs. The arrows represent the outcomes or events that occur in the game based on players' decisions.

To find the rollback equilibrium, we start at the end of the tree and move backwards, identifying the best responses of each player to the preceding player's decision.

In this case, we start with Valoria's decision to choose between CROWN, ELITE, and VICTORY. Since Valoria has the highest payoff with VICTORY, Valoria will choose VICTORY.

Moving backwards, we now consider Arcadia's decision to choose between PHOENIX, BELTA, and BORIZON. Arcadia's highest payoff is also with VICTORY, so Arcadia will choose BORIZON.

Moving backwards again, Novaria's decision to choose between ACME, ATLAS, and STELLAR. Novaria's highest payoff is with BELTA, which means they will choose ATLAS.

Therefore, the rollback equilibrium is (ATLAS, BORIZON, VICTORY), with payoffs of (RoL, L, RoL) for Novaria, (RoL, L, RoL) for Arcadia, and (RoL, C, C) for Valoria.