On a game of Sierpiński
Grzegorz Kubicki (1987)
Colloquium Mathematicae
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Grzegorz Kubicki (1987)
Colloquium Mathematicae
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R. INFANTE AND F. R. FERNÁNDEZ J. PUERTO (1999)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Natália Martins, Delfim F.M. Torres (2011)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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We present necessary conditions for linear noncooperative N-player delta dynamic games on an arbitrary time scale. Necessary conditions for an open-loop Nash-equilibrium and for a memoryless perfect state Nash-equilibrium are proved.
A. Zięba (1962)
Studia Mathematica
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Stewart, Fraser (2007)
Integers
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G. Debs, J. Saint Raymond (1996)
Acta Universitatis Carolinae. Mathematica et Physica
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Vladica Andrejić (2009)
Publications de l'Institut Mathématique
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Kelly, Annela R. (2006)
International Journal of Mathematics and Mathematical Sciences
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Pedro Mariano, Luís Correia (2015)
International Journal of Applied Mathematics and Computer Science
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We analyse Give and Take, a multi-stage resource sharing game to be played between two players. The payoff is dependent on the possession of an indivisible and durable resource, and in each stage players may either do nothing or, depending on their roles, give the resource or take it. Despite these simple rules, we show that this game has interesting complex dynamics. Unique to Give and Take is the existence of multiple Pareto optimal profiles that can also be Nash equilibria, and a...
Mukkamala, Padmini, Pálvölgyi, Dömötör (2010)
The Electronic Journal of Combinatorics [electronic only]
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Sylvain Sorin, Cheng Wan (2013)
RAIRO - Operations Research - Recherche Opérationnelle
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This work studies a new strategic game called delegation game. A delegation game is associated to a basic game with a finite number of players where each player has a finite integer weight and her strategy consists in dividing it into several integer parts and assigning each part to one subset of finitely many facilities. In the associated delegation game, a player divides her weight into several integer parts, commits each part to an independent delegate and collects the sum of their...
Honorata Sosnowska (2006)
Banach Center Publications
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Applying the Owen construction of value of games with a priori unions to the normalized Banzhaf value gives a new type of the normalized Banzhaf value for games with a priori unions. Using a simple example of a four-person voting game with a priori unions, it is shown that this value is different from those known in the literature: the normalized Owen-Banzhaf value, the Banzhaf share function defined by van der Laan and van den Brink and the Banzhaf index for simple games with a priori...
Kane, Daniel M. (2010)
Integers
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Kruczek, Klay, Sundberg, Eric (2008)
The Electronic Journal of Combinatorics [electronic only]
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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),...