Pure equilibria of repeated games with public observation
International Journal of Game Theory
International Journal of Game Theory
Graph Theory With Applications
Graph Theory With Applications
Stochastic learning solution for distributed discrete power control game in wireless data networks
IEEE/ACM Transactions on Networking (TON)
A repeated game formulation of energy-efficient decentralized power control
IEEE Transactions on Wireless Communications
On joint source-channel coding for the Wyner-Ziv source and the Gel'fand-Pinsker channel
IEEE Transactions on Information Theory
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This paper establishes a connection between the notion of observation (or monitoring) structure in game theory and the one of communication channels in Shannon theory. One of the objectives is to know under which conditions an arbitrary monitoring structure can be transformed into a more pertinent monitoring structure. To this end, a mediator is added to the game. The objective of the mediator is to choose a signalling scheme that allows the players to have perfect, almost perfect or public monitoring and all of this, at a minimum cost in terms of signalling. Graph coloring, source coding, and channel coding are exploited to deal with these issues. A wireless power control game is used to illustrate these notions but the applicability of the provided results and, more importantly, the framework of transforming monitoring structures go much beyond this example.