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Large games with only small players and finite strategy sets

Andrzej Wieczorek (2004)

Applicationes Mathematicae

Large games of kind considered in the present paper (LSF-games) directly generalize the usual concept of n-matrix games; the notion is related to games with a continuum of players and anonymous games with finitely many types of players, finitely many available actions and distribution dependent payoffs; however, there is no need to introduce a distribution on the set of types. Relevant features of equilibrium distributions are studied by means of fixed point, nonlinear complementarity and constrained...

Linear complementarity problems and bi-linear games

Gokulraj Sengodan, Chandrashekaran Arumugasamy (2020)

Applications of Mathematics

In this paper, we define bi-linear games as a generalization of the bimatrix games. In particular, we generalize concepts like the value and equilibrium of a bimatrix game to the general linear transformations defined on a finite dimensional space. For a special type of 𝐙 -transformation we observe relationship between the values of the linear and bi-linear games. Using this relationship, we prove some known classical results in the theory of linear complementarity problems for this type of 𝐙 -transformations....

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