Great post and looking forward to the proposal! Speaking as both a game studio dev who’s received grants and having worked previously at Polygon Studio’s gaming BD team, grants can be hugely helpful to onboard gaming studios. Caveat that incentives / milestones need to be structured well 
I also think Arbitrum’s strength in DeFi pairs well with gaming; studios that start building on Arbitrum will want to stay to launch tokens, nfts, etc. which will cultivate additional economic activity beyond the games themselves.