Some applications of game determinacy
G. Debs, J. Saint Raymond (1996)
Acta Universitatis Carolinae. Mathematica et Physica
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G. Debs, J. Saint Raymond (1996)
Acta Universitatis Carolinae. Mathematica et Physica
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Mesdal, G.A., Ottaway, P. (2007)
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),...
Kelly, Annela R. (2006)
International Journal of Mathematics and Mathematical Sciences
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A. Zięba (1962)
Studia Mathematica
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Kane, Daniel M. (2010)
Integers
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Holshouser, Arthur, Reiter, Harold (2005)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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S. Trybuła (1991)
Applicationes Mathematicae
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Andreas Blass (1972)
Fundamenta 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...
J. M. Lasry, J. M. Morel, S. Solimini (1989)
Revista Matemática de la Universidad Complutense de Madrid
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We give a formalization of the ?knowledge games? which allows to study their decidability and convergence as a problem of mathematics. Our approach is based on a metalemma analogous to those of Von Neumann and Morgenstern at the beginning of Game Theory. We are led to definitions which characterize the knowledge games as objects is standard set theory. We then study rigorously the most classical knowledge games and, although we also prove that the ?common knowledge? in these games may...