Battles are calculated in the same way as the standard in-game battles - however, the result has a random factor built in, so is not always 100% accurate. It is recommended that you simulate the same battle more than once, so you can understand the way in which the battle system works. The battle simulator tool is not intended to predict the exact outcome of any specific battle - rather to give you a feel for the way in which battles are played out in-game.
From the "Battle Formations" menu you can define and store 5 types of army order - e.g., attack, defence, etc. Once done, you can chose a formation and reorder your army with one click of the mouse. These formations can then be used for the battle simulator - as defender, attacker, or supporter formations.
The world map. In Utopia Kingdoms you play in a world of thousands of players, on this virtual map.