This app was mentioned in 18 comments, with an average of 1.50 upvotes
Not exactly the same (different setting and a bit more satirical than serious), but I'd recommend Punch Club. It's a fighter management sim in which you train your fighter to become the best boxer while at the same time trying to solve a murder and living your everyday life.
Let's not mix the terminology.
There are so called Zero-Player games, in which player does not directly control his character, but controls the "metagame". Kinda like Gladiabots you mentioned (another example would be Punch Club or Godville, for instance). Different ZPGs have different ways of controlling the metagame: leveling up characters, training their behaviour, throwing bonuses at the right moment etc. Here, the entire gameplay is built around this - it is the way game designed to be played.
And then there is Soda Dungeon and millions of other games (I have nothing against Soda Dungeon - it's just the first game I played which had Auto-Feature), where characters are controlled directly and player skill is required to accomplish the goals. If the game is interesting, then the player would love to make decisions it offers (in other words, "play"). If game requires to spend way too much time and effort to succeed, it means that the game is poorly designed and requires some changes to be made. Unfortunately, developers are not interested in making their game challenging (in other words, require interesting decisions from the player all the time) - they are interested in prolonging the time you spend with their game. So they literally say: here, this part is boring, let the AI take care of it - see you in an hour, when something interesting happens. It is a great way to design only a couple of hours of really interesting gameplay, but make the player stay around for dozens of hours
Now, I haven't played the game you've mentioned. If it's a ZPG, where constant player actions are not needed, then I have nothing against it. As long as metagame is interesting.
Punch Club - Fighting Tycoon | 3.9 ⭐️ | $4.99 | 99MB | 🏠
> ★ "Punch Club is pretty awesome" - 9/10 TouchArcade ★ "Must be experienced by gamers far and wide" - 9/10 HardcoreGamer ★ "You're probably going to lose a good chunk of your life to it." - 9/10 ...
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Punch Club - Fighting Tycoon | 4.3 ⭐️ | $4.99 | 99MB | 🏠
> ★ "Punch Club is pretty awesome" - 9/10 TouchArcade ★ "Must be experienced by gamers far and wide" - 9/10 HardcoreGamer ★ "You're probably going to lose a good chunk of your life to it." - 9/10 ...
^(Legend: |🏠: Family Library| ▶️: Play Pass|)
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Punch Club - Fighting Tycoon | 4.2 rating | $4.99 | 100,000+ downloads | Search manually
> ★ "Punch Club is pretty awesome" - 9/10 TouchArcade ★ "Must be experienced by gamers far and wide" - 9/10 HardcoreGamer ★ "You're probably going to lose a good chunk of your life to it." - ...
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Bad bot, that's not the correct Punch Club, here's the right one: https://play.google.com/store/apps/details?id=com.tinybuildgames.punchclub
Punch Club was good.
Punch Club - Fighting Tycoon - 4.2 rating - $4.99 - Search manually
Pocket City Free - 4.0 rating - Free - Search manually
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Punch Club - Fighting Tycoon - 4.3 rating - $4.99 - Search manually
Wrestling Revolution - 4.1 rating - Free with IAP - Search manually
Wrestling Revolution 3D - 4.1 rating - Free with IAP - Search manually
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Checked for you - 4.99
https://play.google.com/store/apps/details?id=com.tinybuildgames.punchclub&hl=en