We investigate the cases when the Bonacich measures of strongly connected directed bipartite networks can be interpreted as a Nash equilibrium of a non-cooperative game. One such case is a two-person game such that the utility functions are bilinear, the matrices of these bilinear forms...

We derive a necessary and a sufficient condition for Nash implementation with a procedurally fair mechanism. Our result has a nice analogue with the path-braking result of Maskin [Nash equilibrium and welfare optimality, Rev. Econ. Stud. 66 (1999) 23-38.], and therefore, it allows us to give a...

Often preferences of agents are such that any sensible goal of the collective must admit a tie between all alternatives. The standard formulation in mechanism design demand that in this case all alternatives are equilibrium outcomes of the social choice mechanism. However, as far as the idea of...

We give a proof of the existence of a Nash equilibrium forn-personnormal form games when each player's utility function is continuousw.r.t. strategy profiles, and concave and differentiable w.r.t. his ownstrategy. The proof uses only elementary mathematical tools such asmathematical induction....

Common wisdom holds that the introduction of a non-binding minimum wage is irrelevant for actual wages and employment. Empirical and experimental research, however, has shown that the introduction of a minimum wage can raise even those wages that were already above the new minimum wage. In this...