Table 2. The fitness values corresponding to the end nodes in Fig 1, where Es and Er denote the inclusive fitness of the signaller and the receiver respectively.
The fitness of both players is a combination of the benefit they receive as a result of the receiver’s decision and the costs they have to pay depending on their own decisions (e.g. signal or not to signal, search or not to search, etc.)The same table can be drawn for low quality signallers (by substituting H with L).
| End node (Fig 1.) | Receiver’s and Signaller’s fitness respectively |
|---|---|
| 1, | Er = P(W(H,U)+rV(H,U))+(1-p)(W(H,D)+rV(H,D))-C r(SA)-r(C(H,S)+C a(H,S)) |
| Es = p(V(H,U)+rW(H,U))+(1-p)(V(H,D)+rW(H,D))-C(H,S)-C a(H,S)+C a(H,S)-rC r(SA) | |
| 2, | Er = P(W(H,D)+rV(H,D))+(1-p)(W(H,D)+rV(H,D))-C r(SA)-r(C(H,S)+C a(H,S)) |
| Es = p(V(H,D)+rW(H,D))+(1-p)(V(H,D)+rW(H,D))-C(H,S)-C a(H,S)-rC r(SA) | |
| 3, | Er = P(W(H,U)+rV(H,U))+(1-p)(W(H,D)+rV(H,D))-C r(SA)-r(C(H,N)+C a(H,S)) |
| Es = p(V(H,U)+rW(H,U))+(1-p)(V(H,D)+rW(H,D))-C(H,N)-C a(H,S)-rC r(SA) | |
| 4, | Er = P(W(H,D)+rV(H,D))+(1-p)(W(H,D)+rV(H,D))-C r(SA)-r(C(H,N)+C a(H,S)) |
| Es = p(V(H,D)+rW(H,D))+(1-p)(V(H,D)+rW(H,D))-C(H,N)-C a(H,S)-rC r(SA) | |
| 5, | Er = αp(W(H,U)+rV(H,U))+(1-αp)(W(H,D)+rV(H,D))-C r(NS)-r(C(H,S)+C a(H,S)) |
| Es = αp(V(H,U)+rW(H,U))+(1-αp)(V(H,D)+rW(H,D))-C(H,S)+C a(H,S)-rC r(NS) | |
| 6, | Er = αp(W(H,U)+rV(H,D))+(1-αp)(W(H,D)+rV(H,D))-C r(N,S)-r(C(H,S)+C α(H,S)) |
| Es = αp(V(H,U)+rW(H,D))+(1-αp)(V(H,D)+rW(H,D))-C(H,S)-C a(H,S)-rC r(NS) | |
| 7, | Er = αp(W(H,U)+rV(H,D))+(1-αp)(W(H,D)+rV(H,D))-C r(N,S)-r(C(H,N)+C α(H,S)) |
| Es = αp(V(H,U)+rW(H,U))+(1-αp)(V(H,D)+rW(H,D))-C(H,N)-C a(H,S)-rC r(NS) | |
| 8, | Er = αp(W(H,D)+rV(H,D))+(1-αp)(W(H,D)+rV(H,D))-C r(NS)-r(C(H,N)+C α(H,S)) |
| Es = αp(V(H,D)+rW(H,D))+(1-αp)(V(H,D)+rW(H,D))-C(H,N)-C a(H,S)-rC r(NS) | |
| 9, | Er = q(W(H,U)+rV(H,U))+(1-q)(W(H,D)+rV(H,D))-C r(SA)-r(C(H,S)+C α(H,N)) |
| Es = q(V(H,U)+rW(H,U))+(1-q)(V(H,D)+rW(H,D))-C(H,S)-C α(H,N)-rC r(SA) | |
| 10, | Er = q(W(H,D)+rV(H,D))+(1-q)(W(H,D)+rV(H,D))-C r(SA)-r(C(H,S)+C α(H,N)) |
| Es = q(V(H,D)+rW(H,D))+(1-q)(V(H,D)+rW(H,D))-C(H,S)-C α(H,N)-rC r(SA) | |
| 11, | Er = q(W(H,U)+rV(H,U))+(1-q)(W(H,D)+rV(H,D))-C r(SA)-r(C(H,N)+C α(H,N) |
| Es = q(V(H,U)+rW(H,U))+(1-q)(V(H,D)+rW(H,D))-C(H,N)-C α(H,N)-rC r(SA) | |
| 12, | Er = q(W(H,D)+rV(H,D))+(1-q)(W(H,D)+rV(H,D))-C r(SA)-r(C(H,N)+C α(H,N)) |
| Es = q(V(H,D)+rW(H,D))+(1-q)(V(H,D)+rW(H,D))-C(H,N)-C α(H,N)-rC r(SA) | |
| 13, | Er = αq(W(H,U)+rV(H,U))+(1-αp)(W(H,D)+rV(H,D))-C r(NS)-r(C(H,S)-C a(H,N) |
| Es = αq(V(H,U)+rW(H,U))+(1-αq)(V(H,D)+rW(H,D))-C(H,S)-C a(H,N)-rC r(NS) | |
| 14, | Er = αq(W(H,D)+rV(H,D))+(1-αp)(W(H,D)+rV(H,D))-C r(NS)-r(C(H,S)-C a(H,N) |
| Es = αq(V(H,D)+rW(H,D))+(1-αq)(V(H,D)+rW(H,D))-C(H,N)-C α(H,N)-rC r(NS) | |
| 15, | Er = αq(W(H,U)+rV(H,U))+(1-αq)(W(H,D)+rV(H,D))-C r(NS)-r(C(H,N)+C a(H,N)) |
| Es = αq(V(H,U)+rW(H,U))+(1-αq)(V(H,D)+rW(H,D))-C(H,N)-C α(H,N)-rC r(NS) | |
| 16, | Er = αq(W(H,D)+rV(H,D))+(1-αq)(W(H,D)+rV(H,D))-C r(NS)-r(C(H,N)+C a(H,N)) |
| Es = αq(V(H,D)+rW(H,D))+(1-αq)(V(H,D)+rW(H,D))-C(H,N)-C α(H,N)-rC r(NS) |