Skip to main content
. 2015 Aug 19;10(8):e0135379. doi: 10.1371/journal.pone.0135379

Fig 2. The logic of backward induction for high quality signallers.

Fig 2

Arrows show the progression, coloured circles show the compared nodes and the label(s) below the circles show the step at which the given nodes are compared. We are searching for a pair of ESS strategies that lead to node 1 in case of the high quality signaller (i.e. where receivers search and high quality signallers give ASD). First step: node 1 vs. node 2 from the receiver’s point of view (R2). Second step: node 1 vs. node 4 from the signaller’s point of view (S2; note, since we are interested in the stability of the receiver's strategy of playing (U,D), strategy node 3 does not need to be considered). Third step: nodes 1 and 5 vs. nodes 12 and 16 weighted by the ratio of high to low quality individuals from the receiver’s point of view (R1; the reason behind comparing several nodes is the informational uncertainty the receiver facing at this point). Fourth step: node 1 vs. node 9 from the signaller’s point of view (S1).