I think the PS1 Simple Series game (May 2000) is a port of the arcade version–which various sources such as GameFAQs (1999), Giant Bomb (1999), and Kotaku (Jan 31st 2000) date earlier; and Giant Bomb explicitly says the PS1 version is a later port of the arcade version https://www.giantbomb.com/1-on-1-government/3030-37284/
Also, the title screen for the PS1 version’s 1-on-1 mode says “1 on 1 Government” in the background. ^ _^
Man, the move list for this game is pretty wild (lovely HTML FAQ, too):
https://gamefaqs.gamespot.com/ps/262640-simple-1500-series-vol-30-the-basket-1on1-plus/faqs/80836
Quarter circle moves! It’s a doggone joystick game! = ooo
Trying to end the stupid long game buying spree I’ve been on for months now but the sole US seller was in my state and had it with 10 other Simple 1500 Series games for under $30 shipped, for some crazy reason. Oh just take my money then. = ooo