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On Information Aggregation and Interim Efficiency in Networks

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  • Antonio Jimenez-Martinez

    (División de Economía, Centro de Investigación y Docencia Económicas (CIDE), Mexico City 01210, Mexico)

Abstract

This paper considers a population of agents that are engaged in a listening network. The agents wish to match their actions to the true value of some uncertain (exogenous) parameter and to the actions of the other agents. Each agent begins with some initial information about the parameter and, in addition, is able to receive further information from their neighbors in the network. I derive a closed expression for the (interim) social welfare loss that depends on the initial information structure and on the possible pieces of information that can be gathered under the network. Then, I explore how changes in the network may affect social welfare for extreme levels of complementarity in the agents’ actions. When the level of complementarity is very high, efficiency is achieved regardless of the network structure. For very low levels of complementarity in actions, efficiency can be either associated to more sparse or denser networks, depending on the size of the induced informative gains. The implications of this paper are relevant in security environments where agents are naturally interpreted as analysts who try to forecast the value of a parameter that describes a threat to security.

Suggested Citation

  • Antonio Jimenez-Martinez, 2017. "On Information Aggregation and Interim Efficiency in Networks," Games, MDPI, vol. 8(1), pages 1-14, February.
  • Handle: RePEc:gam:jgames:v:8:y:2017:i:1:p:15-:d:91322
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    References listed on IDEAS

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    1. George-Marios Angeletos & Alessandro Pavan, 2004. "Transparency of Information and Coordination in Economies with Investment Complementarities," American Economic Review, American Economic Association, vol. 94(2), pages 91-98, May.
    2. Antonio Jiménez-Martínez, 2014. "Information acquisition interactions in two-player quadratic games," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(2), pages 455-485, May.
    3. George-Marios Angeletos & Alessandro Pavan, 2007. "Efficient Use of Information and Social Value of Information," Econometrica, Econometric Society, vol. 75(4), pages 1103-1142, July.
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    5. Christian Hellwig & Laura Veldkamp, 2009. "Knowing What Others Know: Coordination Motives in Information Acquisition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(1), pages 223-251.
    6. Franklin Allen & Stephen Morris & Hyun Song Shin, 2006. "Beauty Contests and Iterated Expectations in Asset Markets," The Review of Financial Studies, Society for Financial Studies, vol. 19(3), pages 719-752.
    7. Stephen Morris & Hyun Song Shin, 2002. "Social Value of Public Information," American Economic Review, American Economic Association, vol. 92(5), pages 1521-1534, December.
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