Existence theorems for maximal elements in \(H\)-spaces with applications on the minimax inequalities and equilibrium of games (Q2706916)

From MaRDI portal





scientific article
Language Label Description Also known as
English
Existence theorems for maximal elements in \(H\)-spaces with applications on the minimax inequalities and equilibrium of games
scientific article

    Statements

    1 August 2002
    0 references
    existence theorems
    0 references
    maximal elements
    0 references
    \(H\)-spaces
    0 references
    Fan-Yen minimax inequality
    0 references
    equilibrium
    0 references
    qualitative game
    0 references
    abstract economy
    0 references
    Existence theorems for maximal elements in \(H\)-spaces with applications on the minimax inequalities and equilibrium of games (English)
    0 references
    0 references
    The author proves two new existence theorems for maximal elements in \(H\)-spaces. In particular, he obtains an extended version of Fan-Yen minimax inequality as well as some new existence theorems of an equilibrium for a qualitative game and an abstract economy. The paper concludes with an interesting new open problem.
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references