On game-theoretic methods in the theory of Souslin sets
Ashok Maitra (1971)
Fundamenta Mathematicae
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Ashok Maitra (1971)
Fundamenta Mathematicae
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Andrzej Młodak (2013)
Applicationes Mathematicae
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We propose new axiomatizations of values of cooperative games where traditional properties connected with special players (dummy, null or zero) are replaced with weaker properties relating to such participants of the game. We assume that the change of payoff of a player when combining the game with another game where this player is special is constant. Using such axioms with an additional assumption that a value is odd and-if necessary-the fairness axioms holds, one can obtain axiomatizations...
G. Debs, J. Saint Raymond (1996)
Acta Universitatis Carolinae. Mathematica et Physica
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Telgársky, R.
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Andrzej Nowak, Tadeusz Radzik (1996)
Applicationes Mathematicae
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We study values for cooperative TU-games which are convex combinations of the Shapley value and the solidarity value, introduced in our recent paper [1]. First, we axiomatize the convex combination of the two values in the case when the coefficients are given exogenously. Next, we give an axiomatic description of the whole family of such values.
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...
Kelly, Annela R. (2006)
International Journal of Mathematics and Mathematical Sciences
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Mesdal, G.A., Ottaway, P. (2007)
Integers
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Jan Mycielski (1966)
Fundamenta Mathematicae
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S. Trybuła (1991)
Applicationes Mathematicae
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B. Florkiewicz (1969)
Applicationes Mathematicae
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