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Network Threshold Games

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Listed:
  • Alastair Langtry
  • Sarah Taylor
  • Yifan Zhang

Abstract

This paper studies the general class of games where agents: (1) are embedded on a network, (2) have two possible actions, and (3) these actions are strategic complements. We use a measure of network cohesiveness -- the k-core -- to provide a novel characterisation of the equilibria. After transforming the network appropriately, the k-core fully describes both the minimal and maximal equilibria, and also provides a partial characterisation of all others. This framework is also the binary action version of the large class of network games with strategic complements and continuous actions.

Suggested Citation

  • Alastair Langtry & Sarah Taylor & Yifan Zhang, 2024. "Network Threshold Games," Papers 2406.04540, arXiv.org.
    • Handle: RePEc:arx:papers:2406.04540
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