1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.CO2022
Infinite Hex is a draw
Joel David Hamkins, Davide Leonessi
We introduce the game of infinite Hex, extending the familiar finite game to natural play on the infinite hexagonal lattice. Whereas the finite game is a win for the first player,…
math.LO2021
Transfinite game values in infinite draughts
Joel David Hamkins, Davide Leonessi
Infinite draughts, or checkers, is played just like the finite game, but on an infinite checkerboard extending without bound in all four directions. We prove that every countable o…
math.LO2021★ 1 cited
Transfinite game values in infinite games
Davide Leonessi
The object of this study are countably infinite games with perfect information that allow players to choose among arbitrarily many moves in a turn; in particular, we focus on the g…