New universal partizan rulesets and a new universal dicotic partisan ruleset

Abstract

Universal partizan ruleset is a ruleset in which every game value of partizan games can be appear as a position. So far, generalized konane and turning tiles have been proved to be universal partizan rulesets. In this paper, we introduce two rulesets go on lattice and beyond the door and prove that they are universal partizan rulesets by using game tree preserving reduction. Further, we consider dicotic version of beyond the door, and we prove the ruleset is a universal partisan dicotic ruleset.