منابع مشابه
The positive core of a cooperative game
The positive core is a nonempty extension of the core of transferable utility games. If the core is nonempty, then it coincides with the core. It shares many properties with the core. Six well-known axioms which are employed in some axiomatizations of the core, the prenucleolus, or the positive prekernel, and one new intuitive axiom, characterize the positive core on any infinite universe of pl...
متن کاملThe Core of a Cooperative Game
The main fundamental question in cooperative game theory is the question how to allocate the total generated wealth by the collective of all players—the player set N itself—over the different players in the game. In other words, what binding contract between the players in N has to be written? Various criteria have been developed. In this chapter I investigate contracts that are stable against ...
متن کاملThe Core of a Cooperative Game
The main fundamental question in cooperative game theory is the question how to allocate the total generated wealth by the collective of all players—the player set N itself—over the different players in the game. In other words, what binding contract between the players in N has to be written? Various criteria have been developed. In this chapter I investigate contracts that are stable against ...
متن کاملThe positive Prekernel of a Cooperative Game
The positive prekernel, a solution of cooperative transferable utility games, is introduced. We show that this solution inherits many properties of the prekernel and of the core, which are both sub-solutions. It coincides with its individually rational variant, the positive kernel, when applied to any zero-monotonic game. The positive (pre)kernel is a sub-solution of the reactive (pre)bargainin...
متن کاملThe Core of a Cooperative Game without Side Payments^)
The core of an M-person game, though used already by von Neumann and Morgenstern [15], was first explicitly defined by Gillies [5]. Gillies's definition is restricted to cooperative games with side payments and unrestrictedly transferable utilities(2), but the basic idea is very simple and natural, and appears in many approaches to game theory. We consider a certain set of "outcomes" to a game,...
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ژورنال
عنوان ژورنال: International Journal of Game Theory
سال: 2009
ISSN: 0020-7276,1432-1270
DOI: 10.1007/s00182-009-0208-z