The Strength of Local Structures in Decentralized Network Formation
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915625277849600 |
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| author | Betancourt, Jose M. |
| author_facet | Betancourt, Jose M. |
| contents | I study dynamic network formation games in which agents meet stochastically and form links based on their valuation of the network. I show that these games can be represented in terms of the values agents assign to network sub-structures. Particularly, this characterizes potential games as those where all participants in a structure value it equally. When valuations are restricted to a finite set of repeated sub-structures, or motifs, the model exhibits phase transitions: small changes in motif values cause discontinuous shifts in network density. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_10997 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Strength of Local Structures in Decentralized Network Formation Betancourt, Jose M. Theoretical Economics I study dynamic network formation games in which agents meet stochastically and form links based on their valuation of the network. I show that these games can be represented in terms of the values agents assign to network sub-structures. Particularly, this characterizes potential games as those where all participants in a structure value it equally. When valuations are restricted to a finite set of repeated sub-structures, or motifs, the model exhibits phase transitions: small changes in motif values cause discontinuous shifts in network density. |
| title | The Strength of Local Structures in Decentralized Network Formation |
| topic | Theoretical Economics |
| url | https://arxiv.org/abs/2510.10997 |