On Information Aggregation and Interim Efficiency in Networks

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 ad...

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Main Author: Antonio Jimenez-Martinez
Format: Article
Language:English
Published: MDPI AG 2017-02-01
Series:Games
Subjects:
Online Access:http://www.mdpi.com/2073-4336/8/1/15
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author Antonio Jimenez-Martinez
author_facet Antonio Jimenez-Martinez
author_sort Antonio Jimenez-Martinez
collection DOAJ
description 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.
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spelling doaj.art-243ee6bbaadc4f7b992af4c6f4b5b0b92022-12-21T19:41:12ZengMDPI AGGames2073-43362017-02-01811510.3390/g8010015g8010015On Information Aggregation and Interim Efficiency in NetworksAntonio Jimenez-Martinez0División de Economía, Centro de Investigación y Docencia Económicas (CIDE), Mexico City 01210, MexicoThis 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.http://www.mdpi.com/2073-4336/8/1/15networksinformation aggregationbeauty-contestsstrategic complementaritysocial welfare
spellingShingle Antonio Jimenez-Martinez
On Information Aggregation and Interim Efficiency in Networks
Games
networks
information aggregation
beauty-contests
strategic complementarity
social welfare
title On Information Aggregation and Interim Efficiency in Networks
title_full On Information Aggregation and Interim Efficiency in Networks
title_fullStr On Information Aggregation and Interim Efficiency in Networks
title_full_unstemmed On Information Aggregation and Interim Efficiency in Networks
title_short On Information Aggregation and Interim Efficiency in Networks
title_sort on information aggregation and interim efficiency in networks
topic networks
information aggregation
beauty-contests
strategic complementarity
social welfare
url http://www.mdpi.com/2073-4336/8/1/15
work_keys_str_mv AT antoniojimenezmartinez oninformationaggregationandinterimefficiencyinnetworks