Will my new cat be liked by my other cat?

Hellooo.

I bought a new male cat a week ago (3 months old) and then introduced him to my other one (11 months old). I think they're getting along pretty well, but there's a problem. My older cat chases the younger one, seemingly every two seconds, and then starts fighting with him. I know he just wants to play, but the younger one always runs away instead of fighting back or playing along. I'm worried the younger one might feel bullied. Is this really normal, or does my cat just not like him?
(The big one always licks him after biting him, lets him sleep on his cat tree, shows no aggression towards him, they can eat next to each other)

Thank you in advance 😓

update: They have now completely made up!!

3 votes, average: 3.00 out of 1 (3 rating, 3 votes, rated)
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myotis
1 year ago

to the technique: if you respond to your request yourself (not to an answer, a comment or a request) you can click on the 6th icon = upload video… -> to this you have to have it as mp4 but already on your computer…

myotis
1 year ago
Reply to  Hmnooo

To update: na gugge & lucky punch ;o)

myotis
1 year ago

Bitter ;o)