Edutainment games - homo culturalis vs homo ludens
Kalina Sotirova (2004)
Review of the National Center for Digitization
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Kalina Sotirova (2004)
Review of the National Center for Digitization
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Aleksandra Fostikov (2006)
Review of the National Center for Digitization
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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),...
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...
Kalina Sotirova (2005)
Review of the National Center for Digitization
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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...
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...
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...
Mesdal, G.A., Ottaway, P. (2007)
Integers
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Kelly, Annela R. (2006)
International Journal of Mathematics and Mathematical Sciences
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Witold Rzymowski
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CONTENTSIntroduction...........................................................................51. Preliminaries.....................................................................6 1.1. Notation........................................................................6 1.2. Control systems. Strategies..........................................72. Main lemma......................................................................93. Avoidance of many pursuers..........................................14 3.1....
B. Florkiewicz (1969)
Applicationes Mathematicae
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Krzysztof Krawiec, Wojciech Jaśkowski, Marcin Szubert (2011)
International Journal of Applied Mathematics and Computer Science
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We apply Coevolutionary Temporal Difference Learning (CTDL) to learn small-board Go strategies represented as weighted piece counters. CTDL is a randomized learning technique which interweaves two search processes that operate in the intra-game and inter-game mode. Intra-game learning is driven by gradient-descent Temporal Difference Learning (TDL), a reinforcement learning method that updates the board evaluation function according to differences observed between its values for consecutively...
Spasoje Mučibabić (2006)
The Yugoslav Journal of Operations Research
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A. Zięba (1962)
Studia Mathematica
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R. Branzei (2008)
Boletín de Estadística e Investigación Operativa. BEIO
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