On the Number of Bins in Equilibria for Signaling Games

Date

2019-01-01

Author

Sarıtaş, Serkan
Gezici, Sinan
Linder, Tamas
Yuksel, Serdar

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We investigate the equilibrium behavior for the decentralized quadratic cheap talk problem in which an encoder and a decoder, viewed as two decision makers, have misaligned objective functions. In prior work, we have shown that the number of bins under any equilibrium has to be at most countable, generalizing a classical result due to Crawford and Sobel who considered sources with density supported on [0, 1]. In this paper, we refine this result in the context of exponential and Gaussian sources. For exponential sources, a relation between the upper bound on the number of bins and the misalignment in the objective functions is derived, the equilibrium costs are compared, and it is shown that there also exist equilibria with infinitely many bins under certain parametric assumptions. For Gaussian sources, it is shown that there exist equilibria with infinitely many bins.

URI

https://hdl.handle.net/11511/94311

DOI

https://doi.org/10.1109/isit.2019.8849498

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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Citation Formats

S. Sarıtaş, S. Gezici, T. Linder, and S. Yuksel, “On the Number of Bins in Equilibria for Signaling Games,” presented at the IEEE International Symposium on Information Theory (ISIT), Paris, Fransa, 2019, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/94311.