We investigate the behaviour of agents in bilateral contests within arbitrary network structures
when valuations and efficiencies are heterogenous. These parameters are interpreted as
measures of strength. We provide conditions for when unique, pure strategy equilibria exist.
When a player starts attacking one player more strongly, others join in on fighting the victim.
Different efficiencies in fighting make players fight those of similar strength. Centrality of a
player (having more enemies) makes a player weaker and her opponents are more likely to
attack with more effort
