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Titlebook: Introduction to the Theory of Games; J. Szép,F. Forgó Book 1985 Springer Science+Business Media Dordrecht 1985 bargaining.cooperative game

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Examples of matrix games,d in the street we are searching through, then we shall surely find it and get a pay-off equivalent to what the building to be blown up is worth. In case we cannot detect the bomb our pay-off is zero. What are the optimal strategies of both players, i.e., the “Seeker” and the “Hider”, provided the value of each building is positive?
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Games played over the unit square,. The pay-off function is thus defined on the unit square. This is where the term “game played over the unit square” comes from. It is clear that if the set of pure strategies is an arbitrary closed interval [., .], then this interval can be transformed to [0,1] by a suitable continuous transformation
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Existence theorems of equilibrium points,Let a game Γ be given in normal form ...As we have already seen an equilibrium point of the game Γ is an .-tuple of strategies . for which .for each for each .The equilibrium point thus defined is generally referred to as a (generalized) Nash-equilibrium point.
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Two-person games,According to the general definition of a game a two-person game Γis given by strategy sets { Σ., Σ.} and pay-off functions K.: Σ. x Σ.,→ → ℝ K.: Σ. x Σ.ℝ. We write briefly:= Γ {Σ., Σ.; K., K.}.
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