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Games Under Network Uncertainty

Author

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  • Promit K. Chaudhuri
  • Matthew O. Jackson
  • Sudipta Sarangi
  • Hector Tzavellas

Abstract

We examine settings in which agents choose behaviors and care about their neighbors' behaviors, but have incomplete information about the network in which they are embedded. We develop a model in which agents use local knowledge of their direct (and in some cases indirect) connections to make inferences about the complementarity strength of their actions with other agents in the society. Consequently, an agent's position in the network and identity plays a crucial role in determining their strategic behavior in ways that we can quantify. Our main results characterize equilibrium behaviors under various beliefs. In particular, we analyze the role of heterogeneous network information among agents in detail. For instance, we show how having people update about the network can lead those with lower degree to systematically underestimate the complementarities in the society, while those with higher degree overestimate the complementarities. We also study the inferences that agents make and the resulting behaviors in several prominent families of network architectures.

Suggested Citation

  • Promit K. Chaudhuri & Matthew O. Jackson & Sudipta Sarangi & Hector Tzavellas, 2023. "Games Under Network Uncertainty," Papers 2305.03124, arXiv.org, revised Dec 2024.
    • Handle: RePEc:arx:papers:2305.03124
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    References listed on IDEAS

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    1. Lawrence E. Blume & William A. Brock & Steven N. Durlauf & Rajshri Jayaraman, 2015. "Linear Social Interactions Models," Journal of Political Economy, University of Chicago Press, vol. 123(2), pages 444-496.
    2. Coralio Ballester & Antoni Calvó-Armengol & Yves Zenou, 2006. "Who's Who in Networks. Wanted: The Key Player," Econometrica, Econometric Society, vol. 74(5), pages 1403-1417, September.
    3. Yangbo Song & Mihaela Schaar, 2015. "Dynamic network formation with incomplete information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(2), pages 301-331, June.
    4. Goyal, Sanjeev & Joshi, Sumit, 2003. "Networks of collaboration in oligopoly," Games and Economic Behavior, Elsevier, vol. 43(1), pages 57-85, April.
    5. de Paula, Aureo & Rasul, Imran & Souza, Pedro, 2018. "Identifying Network Ties from Panel Data: Theory and an Application to Tax Competition," CEPR Discussion Papers 12792, C.E.P.R. Discussion Papers.
    6. , D. & Tessone, Claudio J. & ,, 2014. "Nestedness in networks: A theoretical model and some applications," Theoretical Economics, Econometric Society, vol. 9(3), September.
    7. de Martí, Joan & Zenou, Yves, 2015. "Network games with incomplete information," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 221-240.
    8. Áureo de Paula & Imran Rasul & Pedro CL Souza, 2018. "Recovering social networks from panel data: identification, simulations and an application," CeMMAP working papers CWP58/18, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    9. Matthew O. Jackson, 2019. "The Friendship Paradox and Systematic Biases in Perceptions and Social Norms," Journal of Political Economy, University of Chicago Press, vol. 127(2), pages 777-818.
    10. Arthur Lewbel & Xi Qu & Xun Tang, 2023. "Social Networks with Unobserved Links," Journal of Political Economy, University of Chicago Press, vol. 131(4), pages 898-946.
    11. John C. Harsanyi, 1967. "Games with Incomplete Information Played by "Bayesian" Players, I-III Part I. The Basic Model," Management Science, INFORMS, vol. 14(3), pages 159-182, November.
    12. Benjamin Golub & Stephen Morris, 2020. "Expectations, Networks, and Conventions," Papers 2009.13802, arXiv.org.
    13. Marco Battaglini & Eleonora Patacchini & Edoardo Rainone, 2022. "Endogenous Social Interactions with Unobserved Networks," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 89(4), pages 1694-1747.
    14. Li, Wei & Tan, Xu, 2020. "Locally Bayesian learning in networks," Theoretical Economics, Econometric Society, vol. 15(1), January.
    15. Dasaratha, Krishna, 2020. "Distributions of centrality on networks," Games and Economic Behavior, Elsevier, vol. 122(C), pages 1-27.
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