7 citations · 7 across the 3 of their papers we have counts for
5 papers
Progress on misère dead ends: game comparison, canonical form, and conjugate inverses
Urban Larsson, Rebecca Milley, Richard Nowakowski +2
This paper addresses several significant gaps in the theory of restricted misère play (Plambeck, Siegel 2008), primarily in the well-studied universe of dead-ending games, $\mathca…
Maker-Breaker domination game
Eric Duchêne, Valentin Gledel, Aline Parreau +1
We introduce the Maker-Breaker domination game, a two player game on a graph. At his turn, the first player, Dominator, select a vertex in order to dominate the graph while the oth…
Quantitative Games under Failures
Thomas Brihaye, Gilles Geeraerts, Axel Haddad +3
We study a generalisation of sabotage games, a model of dynamic network games introduced by van Benthem. The original definition of the game is inherently finite and therefore does…
Dead Ends in Misere Play: The Misere Monoid of Canonical Numbers
Rebecca Milley, Gabriel Renault
We find the misere monoids of normal-play canonical-form integer and non-integer numbers. These come as consequences of more general results for the universe of `dead-ending' games…
Vertex Nim played on graphs
Eric Duchêne, Gabriel Renault
Given a graph G with positive integer weights on the vertices, and a token placed on some current vertex u, two players alternately remove a positive integer weight from u and then…