A seized thing is something you've seized from your victory. It's your spoils. It's your trophy!
Since you didn't learn the kun'yomi for 獲 with the kanji, here's a mnemonic to help you out. Eh (え)? We won the game? Ehhhh?! No way! To the victor belong the spoils! Yay!
There is a lot of easy prey for us to swindle in this city.