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Sequential Incomplete Information Game in Relay Networks Based on Wireless Physical Layer Network Coding
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DOI：10.1007/978-3-319-23440-3_4.png)
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Abstract
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A performance of a network based on Wireless Physical Layer Network Coding (WPLNC) crucially depends on local mapping functions selected by every individual relay. As a whole the mappings must enable the destination to recover desired source data but they must also be reasonable from relays' point of view. This is important especially in distributed and decentralised networks where the relays' mappings are not given in advance but they emerge from interaction among relays. In this paper we focus on a toy example of relay network where a sequential selection of the WPLNC mappings takes place. We assume that the first relay may suffer from low battery level which may affect its selection of WPLNC mappings and that the second relay can deduce the battery state from observed actions and alter its behaviour to cope with the situation. For this scenario we discuss and evaluate an existence of game equilibria.
Keywords:
Relay network
Wireless physical layer network coding
Sequential game
Perfect Bayesian Equilibrium
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