The Chooser-Picker 7-in-a-row-game
Andr\'as Csernenszky

TL;DR
This paper proves that in the 7-in-a-row game, the Picker player has a winning strategy in the Chooser-Picker variant, supporting Beck's conjecture relating to k-in-a-row games.
Contribution
It provides a proof that the Picker player wins the 7-in-a-row game in the Chooser-Picker setting, confirming part of Beck's conjecture.
Findings
Picker wins the 7-in-a-row game in the Chooser-Picker version.
Supports Beck's conjecture for k-in-a-row games.
Shows the 8-in-a-row game is a Breaker win.
Abstract
One of the main objective of this paper is to relate Beck's conjecture for k-in-a-row games. The conjecture states that playing on the same board Picker is better off in a Chooser-Picker game than the second player in the Maker-Breaker version. It was shown that the 8-in-a-row game is a blocking draw that is a Breaker win. To give the outcome of 7-, or 6-in-a-row-games is hopeless, but these games are widely believed to be Breaker's win. If both conjectures hold, Picker must win the Chooser-Picker version of the 7-in-a-row game, and that is what we prove.
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Taxonomy
TopicsArtificial Intelligence in Games · Computability, Logic, AI Algorithms · Digital Games and Media
