The second local player can not select a gear (Injustice 2)

Gentlemen, the problem of the following content anywhere on the Internet solutions are not found. Maybe I'm stupid, and the solution on the surface, or nobody cares about it.
So, when a local game on one computer in the steam version of the game, the login of the first player is displayed as the login stim - appropriately, he's got the outfit, he gains experience for fighting, etc. the player displays just the Player 2 , and equipment, earned the first player of course not. How to solve this problem? For example, in the first game both players were displayed under the login stim I'm aware that you can enable competitive mode, that the equipment did not bring advantages, but I would like to have a second local player can choose their own gear and costumes. I will be glad for Your help.