Beliefs in Network Games (Revised version of CentER DP 2007-46)
AbstractNetworks can have an important effect on economic outcomes. Given the complexity of many of these networks, agents will generally not know their structure. We study the sensitivity of game-theoretic predictions to the specification of players’ (common) prior on the network in a setting where players play a fixed game with their neighbors and only have local information on the network structure. We show that two priors are close in a strategic sense if and only if (i) the priors assign similar probabilities to all events that involve a player and his neighbors, and (ii) with high probability, a player believes, given his type, that his neighbors’ conditional beliefs are close under the two priors, and that his neighbors believe, given their type, that. . . the conditional beliefs of their neighbors are close, for any number of iterations.
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Bibliographic InfoPaper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2008-5.
Date of creation: 2008
Date of revision:
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Web page: http://center.uvt.nl
Network games; incomplete information; higher order beliefs; continuity; random networks; population uncertainty;
Find related papers by JEL classification:
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
- L14 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Transactional Relationships; Contracts and Reputation
- Z13 - Other Special Topics - - Cultural Economics - - - Economic Sociology; Economic Anthropology; Social and Economic Stratification
This paper has been announced in the following NEP Reports:
- NEP-ALL-2008-02-02 (All new papers)
- NEP-GTH-2008-02-02 (Game Theory)
- NEP-NET-2008-02-02 (Network Economics)
- NEP-SOC-2008-02-02 (Social Norms & Social Capital)
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