## No Game, No Life

For general discussion about Conway's Game of Life.

### No Game, No Life

Game of Life, from the anime No Game, No Life.
Attachments
[Tsundere] No Game, No Life - 02 [BDRip h264 1920x1080 10bit FLAC][D971AB2D].mkv_snapshot_03.45_[2019.04.13_22.34.03].jpg (51.73 KiB) Viewed 1155 times
MarkJ

Posts: 6
Joined: October 22nd, 2010, 5:57 am

### Re: No Game, No Life

Looks like for him scissors is dominated by paper, so he should use only rock and paper. Given that he won't use scissors her paper strictly dominates rock. So she's choosing between between scissors and paper and he's choosing between rock and paper. The Nash equilibrium is that they both choose randomly, which means that she'll win 50% of the time and it will be a draw the other 50% of the time.

Macbi

Posts: 659
Joined: March 29th, 2009, 4:58 am

### Re: No Game, No Life

What's going on is that the guy (Sora) promises to use paper, and if he doesn't, it's his loss. If his opponent (Stephanie) plays a losing move, it's her loss as well, making it a draw: If they both use rock or scissors, she wins, and if they both use paper, the result is a draw. The only way for Sora to win is for him to use paper while Stephanie uses rock.
`x = 81, y = 96, rule = LifeHistory58.2A\$58.2A3\$59.2A17.2A\$59.2A17.2A3\$79.2A\$79.2A2\$57.A\$56.A\$56.3A4\$27.A\$27.A.A\$27.2A21\$3.2A\$3.2A2.2A\$7.2A18\$7.2A\$7.2A2.2A\$11.2A11\$2A\$2A2.2A\$4.2A18\$4.2A\$4.2A2.2A\$8.2A!`
Gamedziner

Posts: 707
Joined: May 30th, 2016, 8:47 pm
Location: Milky Way Galaxy: Planet Earth