Cooperative sequencing games with position-dependent learning effect

Abstract

This paper extends sequencing games as introduced by Curiel et al. (1989) to the setting with a position-dependent learning effect. We show that these games are balanced, and analyze the family of equal gains sharing (EGS) rules. In contrast to games without learning effect, we show that only a specific class of EGS rules leads to core allocations. This allocation rule is characterized axiomatically, and we also study its relationship with the β-rule, earlier introduced by Curiel et al. (1994).