Wireless mesh network is an emerging technology progressing in the field of wireless networking. The broadcast nature of wireless mesh network allows each router to search destination and forward the packet. Wireless mesh network is based on IEEE 802.11 standard according to which the received packet must be acknowledged and the routers unacknowledged continue broadcasting packet in their range. This leads to signaling overhead and decreases throughput of the network. The proposed paper overcomes this signaling overhead in addition to the design of a routing metric, Expected Forwarded Counter [EFW] which deals with the problem of selfish behavior of mesh routers in wireless mesh network.