A4 Vertaisarvioitu artikkeli konferenssijulkaisussa
On Robot Games of Degree Two
Tekijät: Vesa Halava, Reino Niskanen, Igor Potapov
Konferenssin vakiintunut nimi: International Conference on Language and Automata Theory and Applications
Kustantaja: Springer, Cham
Julkaisuvuosi: 2015
Kokoomateoksen nimi: Language and Automata Theory and Applications - 9th International Conference, {LATA} 2015, Nice, France, March 2-6, 2015, Proceedings
Sarjan nimi: Lecture Notes in Computer Science
Vuosikerta: 8977
Aloitussivu: 224
Lopetussivu: 236
ISBN: 978-952-12-3014-1
ISSN: 0302-9743
DOI: https://doi.org/10.1007/978-3-319-15579-1_17
Verkko-osoite: http://dx.doi.org/10.1007/978-3-319-15579-1_17
Robot Game is a two player vector addition game played
in integer lattice Zn. In a degree k case both players have k vectors
and in each turn the vector chosen by a player is added to the current
configuration vector of the game. One of the players, called Attacker,
tries to play the game from the initial configuration to the origin while
the other player, Defender, tries to avoid origin. The decision problem is
to decide whether or not Attacker has a winning strategy. We prove that
the problem is decidable in polynomial time for the degree two games in
any dimension n.