Decision makers in competitive situations care not only about their own int
erests but also the interests of their opponents to keep or improve their c
ompetitiveness. They have incentives to take cooperative actions as well as
non-cooperative actions, depending on the results caused by the actions. T
hese features make traditional game theory inadequate in describing competi
tors' rational behaviour. This paper first proposes a general framework for
analysing decision makers' rational behaviour in multiperson decision situ
ations, and then uses it to model rational behaviour in two-player competit
ive situations. To characterize competitive situations quantitatively, the
notion of cooperation degree is formalized. By focusing on a typical two-pl
ayer competitive situation, relations between cooperation degree and compet
itors' subjective factors are explored.