To my knowledge
Живое исполнение translates to
I have the sentence
I prefer live performances which I attempted to translate into
Я предпочитаю живому исполнениям
I translated it like this because it is my understanding that I should use the Dative case to express feelings or to say you like something.
Мне нравится Москва
Как вам нравится фильм?
живомуis in Dative Singular and
исполнениямis in Dative Plural because that's how it is in English, as far as I am aware anyway.
I am trying to disguise this "Is my translation correct?" question as best as I can with some hope that the answer will help someone other than myself.