In an asymmetric game the payoffs, or goals, are different for the participants of the game. Allocation of resources, willingness to take risks, potential sub-goals etc, are all connected to the payoff of the game. This issue becomes pertinent when the players pursue goals which are incomparable with each other. In the asymmetric conflict of today this is indeed sometimes the case; in Afghanistan, Iraq and Somalia the ends sought by the major stakeholders appear at times as incommensurable. This paper discusses the strategic implications of the differences in goals between actors when in an asymmetric conflict. To increase the understanding of what such a conflict could mean the concept of goal-asymmetric conflicts is introduced. The implication of this is then connected to the level of rationality between different actors in a goal asymmetric, and the possibility of what a more fundamental difference in goals means. A definition of a conflict-relation is also presented. In connection to this different sorts of values held by the actors in a conflict is elaborated upon.