The DOI matches its OpenAlex record; 8 of the 8 references it cites were found in a registry or an index.
Towards consensus: some convergence theorems on repeated averaging
Abstract
The problem of tendency to consensus in an information-exchanging operation is connected with the ergodicity problem for backwards products of stochastic matrices. For such products, weak and strong ergodicity, defined analogously to these concepts for forward products of inhomogeneous Markov chain theory, are shown (in contrast to that theory) to be equivalent. Conditions for ergodicity are derived and their relation to the consensus problem is considered.
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Cites
An introduction to probability theory and its applications
(1958) · Journal of the Franklin Institute · doi:10.1016/0016-0032(58)90688-4 · Cited by 29,269
An Introduction to Probability Theory and Its Applications.
Bharucha-Reid, A. T., & Feller, W. (1967) · The American Mathematical Monthly · doi:10.2307/2314609 · Cited by 6,066
Degroot, M. H. (1974) · Journal of the American Statistical Association · doi:10.1080/01621459.1974.10480137 · Cited by 4,004
The Delphi Method: An Experimental Study of Group Opinion
(1969) · RAND Corporation eBooks · doi:10.7249/rm5888 · Cited by 1,628
Bush, K. A., Kemeny, J. G., & Snell, J. L. (1960) · The American Mathematical Monthly · doi:10.2307/2309264 · Cited by 1,546
The Consensus of Subjective Probability Distributions
Winkler, R. L. (1968) · Management Science · doi:10.1287/mnsc.15.2.b61 · Cited by 369
Gower, J. C., & Seneta, E. B. (1975) · Journal of the Royal Statistical Society Series A (General) · doi:10.2307/2984670 · Cited by 347
Self-citationZur Theorie der Markoffschen Ketten
Kolmogoroff, A. (1936) · Mathematische Annalen · doi:10.1007/bf01565412 · Cited by 313
Cited by
Statistical physics of social dynamics
Castellano, C., Fortunato, S., & Loreto, V. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.591 · Cited by 4,119
Consensus Problems on Networks With Antagonistic Interactions
Altafini, C. (2013) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2012.2224251 · Cited by 2,109
Distributed Control of Robotic Networks: A Mathematical Approach to Motion Coordination Algorithms
Bullo, F., Cortés, J., & Martínez, S. (2009) · Princeton University Press eBooks · doi:10.1515/9781400831470 · Cited by 1,509
A tutorial on modeling and analysis of dynamic social networks. Part I
Proskurnikov, A. V., & Tempo, R. (2017) · Annual Reviews in Control · doi:10.1016/j.arcontrol.2017.03.002 · Cited by 553
A Necessary and Sufficient Condition for Consensus Over Random Networks
Tahbaz-Salehi, A., & Jadbabaie, A. (2008) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2008.917743 · Cited by 431
Metadata
- Authors
- Chatterjee, S., & Seneta, E. B.
- Venue
- Journal of Applied Probability
- Publisher
- Cambridge University Press
- Published
- 1977-03-01
- Volume
- 14
- Issue
- 01
- Pages
- 89-97
- ISSN
- 0021-9002 (ISSN-L)
- OpenAlex
- W2018800107
- Cited by
- 368
- References
- 8
- FWCI
- 2.67
- Type
- journal article
- Language
- en
- Open access
- closed
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- Chatterjee, S., & Seneta, E. B. (1977). Towards consensus: some convergence theorems on repeated averaging. Journal of Applied Probability. https://doi.org/10.1017/s0021900200104681
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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