A discrete nonlinear and non-autonomous model of consensus formation

Communications in Difference Equations: Proceedings of the Fourth International Conference on Difference Equations

Volumn , Issue , 2000, Pages 227-236

  Krause, U ^a  

^a UNIVERSITY OF BREMEN   (Germany)

Author keywords

Averaging; Bounded confidence; Consensus formation; Discrete dynamical systems; Markov chains

Indexed keywords

EID: 85030234566     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter

References (10)

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2. Th. Beckmann, Starke und schwache Ergodizitiit in nichtlinearen Konsensmodellen, Diploma thesis, Universitat Bremen, 1997.
3. S. Chatterjee, Reaching a consensus: some limit theorems, Proc. Int. Statist. Inst., 1975, pp. 159-164.
4. S. Chatterjee and E. Seneta, Toward consensus: some convergence theorems on repeated averaging, J. Appl. Prob. 14, 1977, pp. 89-97.
5. J. Cohen, J. Hajnal, and C.M. Newman, Approaching consensus can be delicate when positions harden, Stochastic Proc. and Appl. 22, 1986, 315-322.
6. M. H. De Groot, Reaching a consensus, J. Amer. Statist. Assoc. 69, 1974, pp. 118-121.
7. R. Hegselmann, A. Flache and V. Moller, Cellular automata models of solidarity and opinion formation: sensitivity analysis, unpublished paper, Universitat Bayreuth, 1998.
8. U. Krause, Positive nonlinear systems: some results and applications, Proceedings of the First World Congress of Nonlinear Analysts’92, (ed. V. Lakshmikantham), Berlin 1996, Walter de Gruyter, pp. 1529-1539.
9. K. Lehrer and C.G. Wagner, Rational consensus in science and society, D. Reidel Publ. Co., Dordrecht, 1981.
10. E. Seneta, Non-negative matrices and Markov chains,2nd ed., Springer Verlag, Berlin, 1980.