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      On the number of bins in equilibria for signaling games

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      Author
      Sarıtaş, Serkan
      Yüksel, Serdar
      Gezici, Sinan
      Date
      2019-07
      Source Title
      2019 IEEE International Symposium on Information Theory (ISIT)
      Publisher
      IEEE
      Pages
      972 - 976
      Language
      English
      Type
      Conference Paper
      Item Usage Stats
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      Abstract
      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.
      Keywords
      Decoding
      Games
      Upper bound
      Quantization (signal)
      Manganese
      Linear programming
      Cost function
      Permalink
      http://hdl.handle.net/11693/52911
      Published Version (Please cite this version)
      https://doi.org/10.1109/ISIT.2019.8849498
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      • Department of Computer Engineering 1398
      • Department of Electrical and Electronics Engineering 3597
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