# Transfinite game values in infinite draughts

A joint paper with Davide Leonessi, in which we prove that every countable ordinal arises as the game value of a position in infinite draughts, and this result is optimal for games having countably many options at each move. In short, the omega one of infinite draughts is true omega one.

• J. D. Hamkins and D. Leonessi, “Transfinite game values in infinite draughts,” Mathematics arXiv, 2021.
[Bibtex]
@ARTICLE{HamkinsLeonessi:Transfinite-game-values-in-infinite-draughts,
author = {Joel David Hamkins and Davide Leonessi},
title = {Transfinite game values in infinite draughts},
journal = {Mathematics arXiv},
year = {2021},
volume = {},
number = {},
pages = {},
month = {},
note = {Under review},
abstract = {},
keywords = {under-review},
source = {},
doi = {},
eprint = {2111.02053},
archivePrefix = {arXiv},
primaryClass = {math.LO},
url = {http://jdh.hamkins.org/transfinite-game-values-in-infinite-draughts},
}