Combinatorial games: Selected bibliography with a succinct gourmet introduction.
Fraenkel, Aviezri S. (1996)
The Electronic Journal of Combinatorics [electronic only]
Similarity:
Fraenkel, Aviezri S. (1996)
The Electronic Journal of Combinatorics [electronic only]
Similarity:
Lim, Chu-Wee (2005)
Integers
Similarity:
Holshouser, Arthur, Reiter, Harold (2001)
Southwest Journal of Pure and Applied Mathematics [electronic only]
Similarity:
Mesdal, G.A., Ottaway, P. (2007)
Integers
Similarity:
Sanyang Liu, Haiyan Li (2017)
Open Mathematics
Similarity:
Restricted (s, t)-Wythoff’s game, introduced by Liu et al. in 2014, is an impartial combinatorial game. We define and solve a class of games obtained from Restricted (s, t)-Wythoff’s game by adjoining to it some subsets of its P-positions as additional moves. The results show that under certain conditions they are equivalent to one case in which only one P-position is adjoined as an additional move. Furthermore, two winning strategies of exponential and polynomial are provided for the...
Kelly, Annela R. (2006)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Larsson, Urban (2009)
Integers
Similarity:
Flammenkamp, Achim, Holshouser, Arthur, Reiter, Harold (2003)
The Electronic Journal of Combinatorics [electronic only]
Similarity:
James, Jeffery, Schlatter, Mark (2008)
Integers
Similarity:
Jakub Jan Golik (2018)
Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia
Similarity:
The main goal of the following article is to design an improved version of the negotiation game created by prof. Alan Fowler (Fowler, 1997). I have tried to achieve this by constructing four separate versions of the game which represent different approaches while preserving rules, chosen basic technical assumptions and the simplicity of the base game. Each version of the game is supposed to i.a. make it less obvious, create new negotiation possibilities (including potential cooperation),...
Holshouser, Arthur, Reiter, Harold (2005)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
Similarity:
Stewart, Fraser (2007)
Integers
Similarity:
B. Florkiewicz (1969)
Applicationes Mathematicae
Similarity:
dos Santos, Carlos Pereira, Silva, Jorge Nuno (2008)
Integers
Similarity:
Andrzej Młodak (2007)
Applicationes Mathematicae
Similarity:
We prove new axiomatizations of the Shapley value and the Banzhaf value, defined on the class of nonnegative constant-sum games with nonzero worth of the grand coalition as well as on nonnegative bilateral games with nonzero worth of the grand coalition. A characteristic feature of the latter class of cooperative games is that for such a game any coalition and its complement in the set of all players have the same worth. The axiomatizations are then generalized to the entire class of...