2013/03/27 by Monica Patriche, Patriche, Monica · 1 citation
Economics, Econometrics and Finance · Decision Sciences · #Economic theories and models #Game Theory and Voting Systems #Game Theory and Applications
paper · pdf · doi:10.48550/arxiv.1303.6982
We introduce the notions of weakly *-concave and weakly naturally quasi-concave correspondence and prove fixed point theorems and continuous selection theorems for these kind of correspondences. As applications in the game theory, by using a tehnique based on a continuous selection, we establish new existence results for the equilibrium of the abstract economies. The constraint correspondences are weakly naturally quasi-concave. We show that the equilibrium exists without continuity assumptions.