This reminds me of the Shannon switching game ( https://en.wikipedia.org/wiki/Shannon_switching_game https://en.wikipedia.org/wiki/Shannon_switching_game ) > T

This reminds me of the Shannon switching game ( https://en.wikipedia.org/wiki/Shannon_switching_game https://en.wikipedia.org/wiki/Shannon_switching_game ) > Two players take turns coloring the edges of an arbitrary graph. One player has the goal of connecting two distinguished vertices by a path of edges of their color. The other player aims to prevent this by using their color instead (or, equivalently, by erasing edges). The game is commonly played on a rectangular grid; this special case of the game was independently invented by American mathematician David Gale in the late 1950s and is known as Gale or Bridg-It. That game, if modeled as an electrical circuit of resistors has the property that the best play is the one with the most voltage across it. https://boardgamegeek.com/boardgame/123102/bird-cage https://boardgamegeek.com/boardgame/123102/bird-cage > The game's original incarnation was as a machine built by the game's designer, noted engineer Claude Shannon. The machine would choose its' move by measuring electrical resistance between its' sides of the square and would reportedly win "almost always" when making the first move.