Working Paper

Convergence of Cultural Traits with Time-Varying Self-Confidence in the Panebianco (2014) Model--A Corrigendum


Abstract: We highlight that convergence in repeated averaging models commonly used to study cultural traits or opinion dynamics is not equivalent to convergence in Markov chain settings if transition matrices are time-varying. We then establish a new proof for the convergence of cultural traits in the model of Panebianco (2014) correcting the existing proof. The new proof provides novel insights on the long-run outcomes for inessential individuals. We close with a discussion of conditions for convergence in repeated averaging models with time-varying transition matrices.

JEL Classification: D83; D85; Z13;

https://doi.org/10.26509/frbc-wp-201720

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Bibliographic Information

Provider: Federal Reserve Bank of Cleveland

Part of Series: Working Papers (Old Series)

Publication Date: 2017-11-15

Number: 1720

Pages: 17 pages