We introduce a game theoretical model of stealing interactions. We model the situation as
an extensive form game when one individual may attempt to steal a valuable item from
another who may in turn defend it. The population is not homogeneous, but rather each
individual has a different Resource Holding Potential (RHP). We assume that RHP not only
influences the outcome of the potential aggressive contest (the individual with the larger
RHP is more likely to win), but that it also influences how an individual values a
particular resource. We investigate several valuation scenarios and study the prevalence
of aggressive behaviour. We conclude that the relationship between RHP and resource value
is crucial, where some cases lead to fights predominantly between pairs of strong
individuals, and some between pairs of weak individuals. Other cases lead to no fights
with one individual conceding, and the order of strategy selection is crucial, where the
individual which picks its strategy first often has an advantage.