Local Global Games and Network Common Learning

Olga Rospuskova; Omer Tamuz; Jake Zhang

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arXiv · 2607.28821

Local Global Games and Network Common Learning

Olga Rospuskova·Omer Tamuz·Jake Zhang

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Abstract

We study global games in which agents coordinate locally, with their social network neighbors, contingent on a favorable state. Before acting, agents learn the private signals of all agents within network distance $r$. As $r$ grows, every agent learns the state, but efficient coordination depends on higher-order beliefs, which are shaped by the geometry of the network. We introduce network common learning, a network analogue of common learning, and show that it is attained when neighboring agents' observations differ by many signals, as on the two-dimensional grid, but fails on networks with informational bottlenecks, such as the line, where only the safe action survives in equilibrium.

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Olga Rospuskova, Omer Tamuz, Jake Zhang. 2026-07-30. Local Global Games and Network Common Learning. https://arxiv.org/abs/2607.28821

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