Two remarks about surfaces
Wilczyński, Władysław, Rzepecka, Genowefa (2015-11-26T16:01:41Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Wilczyński, Władysław, Rzepecka, Genowefa (2015-11-26T16:01:41Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Izidor Hafner, Tomislav Zitko (2003)
Visual Mathematics
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Przemysław Gordinowicz, Paweł Prałat (2012)
Discussiones Mathematicae Graph Theory
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We consider the one-colour triangle avoidance game. Using a high performance computing network, we showed that the first player can win the game on 16 vertices.
Mesdal, G.A., Ottaway, P. (2007)
Integers
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Sanyang Liu, Haiyan Li (2017)
Open Mathematics
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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...
Brânzei, Rodica, Tijs, Stef (2001)
Balkan Journal of Geometry and its Applications (BJGA)
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Kelly, Annela R. (2006)
International Journal of Mathematics and Mathematical Sciences
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J. Stahl (1971)
Applicationes Mathematicae
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Andrzej Młodak (2005)
Applicationes Mathematicae
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We propose new systems of axioms which characterize four types of values of cooperative games: the Banzhaf value, the Deegan-Packel value, the least square prenucleolus and the least square nucleolus. The common element used in these axiomatizations is a fairness property. It requires that if to a cooperative game we add another game in which two given players are symmetric, then their payoffs change by the same amount. In our analysis we will use an idea applied by R. van den Brink...
dos Santos, Carlos Pereira, Silva, Jorge Nuno (2008)
Integers
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Jakub Jan Golik (2018)
Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia
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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),...
B. Florkiewicz (1969)
Applicationes Mathematicae
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Andrzej Młodak (2007)
Applicationes Mathematicae
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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...
Oliveira e Silva, Jorge-Nuno (1993)
Portugaliae mathematica
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D. Koutroufiotis, B. Wegner (1977)
Colloquium Mathematicae
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Hans Keiding (2006)
Banach Center Publications
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The aspiration core of a TU game was introduced by Bennett [1] as a payoff vector which is undominated and achievable in the sense that each player belongs to a coalition which can obtain the specified payoff for its members, and which minimizes the distance to the set of aggregate feasible payoffs among all such payoff vectors. In the paper a set of axioms is proposed which characterize the aspiration core, which may be considered as an extension of the core to a much larger set of...