  Transmission power has a major impact on link and communication reliability
and network lifetime in Wireless Sensor Networks. We study power control in a
multi-hop Wireless Sensor Network where nodes' communication interfere with
each other. Our objective is to determine each node's transmission power level
that will reduce the communication interference and keep energy consumption to
a minimum. We propose a potential game approach to obtain the unique
equilibrium of the network transmission power allocation. The unique
equilibrium is located in a continuous domain. However, radio transceivers
accept only discrete values for transmission power level setting. We study the
viability and performance of mapping the continuous solution from the potential
game to the discrete domain required by the radio. We demonstrate the success
of our approach through TOSSIM simulation when nodes use the Collection Tree
Protocol for routing the data. Also, we show results of our method from the
Indriya testbed. We compare it with the case where the motes use Collection
Tree Protocol with the maximum transmission power.
