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Quadratic Signaling Games with Channel Combining Ratio
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Date
2021-01-01
Author
Sarıtaş, Serkan
Thobaben, Ragnar
Skoglund, Mikael
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In this study, Nash and Stackelberg equilibria of single-stage and multi-stage quadratic signaling games between an encoder and a decoder are investigated. In the considered setup, the objective functions of the encoder and the decoder are misaligned, there is a noisy channel between the encoder and the decoder, the encoder has a soft power constraint, and the decoder has also noisy observation of the source to be estimated. We show that there exist only linear encoding and decoding strategies at the Stackelberg equilibrium, and derive the equilibrium strategies and costs. Regarding the Nash equilibrium, we explicitly characterize affine equilibria for the single-stage setup and show that the optimal encoder (resp. decoder) is affine for an affine decoder (resp. encoder) for the multi-stage setup. On the decoder side, between the information coming from the encoder and noisy observation of the source, our results describe what should be the combining ratio of these two channels. Regarding the encoder, we derive the conditions under which it is meaningful to transmit a message.
URI
https://hdl.handle.net/11511/94514
DOI
https://doi.org/10.1109/isit45174.2021.9518039
Conference Name
IEEE International Symposium on Information Theory (ISIT)
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Department of Electrical and Electronics Engineering, Conference / Seminar
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S. Sarıtaş, R. Thobaben, and M. Skoglund, “Quadratic Signaling Games with Channel Combining Ratio,” presented at the IEEE International Symposium on Information Theory (ISIT), ELECTR NETWORK, 2021, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/94514.