Bertrand games and sharing rules (Q878405)

In this research work, the author studies asymmetric Bertrand games with general payoffs and without a priori restrictions on the shape of sharing rules. For this kind of games with discontinuities one determines appropriate criteria to obtain the zero-profit outcome and the existence of Nash equilibria. Thus, mixed or pure strategy Nash equilibria exist whenever the sharing rule is tie-decreasing, sum-upper semicontinuous and coalition-monotone. Some pertinent reference complete the paper.