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arXiv · 2602.19292

Strategic Gaussian Signaling under Linear Sensitivity Mismatch

Hassan Munif·Vineeth Satheeskumar Varma·Samson Lasaulce
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Abstract

We analyze Stackelberg Gaussian signaling games where the encoder and decoder have a linear sensitivity mismatch. Unlike the standard additive-bias model, a sensitivity mismatch means the encoder prefers the decoder to track a linear transformation of the state rather than a shifted one. We derive the equilibrium structure for both noiseless (cheap-talk) and noisy signaling channels. In the noiseless case, the equilibrium admits a spectral characterization: the encoder transmits information only along eigenspaces associated with the negative eigenvalues of a mismatch matrix. In the noisy regime, we derive analytical thresholds for informative signaling, showing that communication collapses if the sensitivity mismatch or transmission cost exceeds a channel-dependent threshold.

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Hassan Munif, Vineeth Satheeskumar Varma, Samson Lasaulce. 2026-02-22. Strategic Gaussian Signaling under Linear Sensitivity Mismatch. https://arxiv.org/abs/2602.19292

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