Pursuit deterrence signals have independently evolved in multiple vertebrate taxa such as birds (Murphy, 2006), chipmunks (Clark, 2005), lizards (Cooper, 2001) and fish (Brown et al., 1999) and are used to inform predators that they have been detected by prey, and that attempts to capture the prey are therefore likely to be unsuccessful (Caro, 1995; Hasson, 1991). For example, when attacked, phrynosomatid lizards can elevate and waggle their tails, revealing a bold pattern of black and white bars that signals to predators that they have been detected (Dial, 1986), In social animals, such signals could benefit from being contagious, meaning that the signal alone can trigger another signaller to transmit the signal without detecting or checking for the actual presence of danger (Oliveira & Faustino, 2017). Such signalling is selfreplicating and auto-propagating even in the absence of its original trigger and has advantages for rapidly alerting the group and creating an amplified deterrence signal that signals to the predator that it has been detected. However, contagious signals need to be constrained by honesty because they lose their value if they are