Abstract
Since the expression of an opinion represents a behaviour, the change of (expressed) opinions is a suitable example for behavioural changes, particularly because, by means of opinion polls, a direct comparison with empirical data is possible (cf. Chap. 13). The laws of opinion formation have already long been the topic of social research. For example, Osgood and Tannenbaum with their congruity principle [213], Heider with his balance theory [119,120], and Festinger with his dissonance theory [74] (cf. Fig. 8.1) developed formal models which deal with the stability of attitudes and with the probability of certain attitude changes. An overview of the state of related research is given in [77,220].
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Notes
- 1.
In the work of Weidlich and Haag this quantity is denoted as preference. However, in order to distinguish \(\delta_a(x,t)\) from \(U_\alpha(x|y;t)\) the author decided to introduce another term.
References
Aguda BD, Larter R, Clarke BL (1989) Dynamic elements of mixed-mode oscillations and chaos in a peroxidase-oxidase model network. J Chem Phys 90(8):4168–4175
Bartholomew DJ (1967) Stochastic models for social processes. Wiley, London
Christaller W (1980) Die zentralen Orte in Süddeutschland. Wissenschaftliche Buchgesellschaft, Darmstadt, p 71
Czerwon H-J, Der R, Haberlandt R (1977) Quantum statistical theory of chemical reactions. I. General formulation and lowest-order results. Mol Phys 33(6):1743–1756
Diekmann A (1992) The log-logistic distribution as a model for social diffusion processes. J Sci Ind Res 51:285–290
Erdmann G, Fritsch B (Jul 1985) Synergismen in Parteiensystemen. Arbeitspapiere. Institut für Wirschaftsforschung, Eidgenössische Technische Hochschule Zürich
Festinger L (1957) A theory of cognitive dissonance. Row & Peterson, Evanston, IL
Fishbein M, Ajzen I (1975) Belief, attitude, intention and behavior: an introduction to theory and research. Addison-Wesley, Reading, MA
Geest T, Olsen LF, Steinmetz CG, Larter R, Schaffer WM (1993) Nonlinear analyses of periodic and chaotic time series from the peroxidase-oxidase reaction. J Phys Chem 97: 8431–8441
Granovetter M, Soong R (1983) Threshold models of diffusion and collective behavior. J Math Sociol 9:165–179
Haag G (1989) Dynamic decision theory: applications to urban and regional topics. Kluwer Academic, Dordrecht
Hamblin RL, Jacobsen RB, Miller JLL (1973) A mathematical theory of social change. Wiley, New York, NY
Hao B-L, Wang G-R, Zhang S-Y (1983) U-sequences in the periodically forced Brusselator. Commun Theor Phys 2(3):1075–1080
Hao B-L, Zhang S-Y (1982) Hierarchy of chaotic bands. J Stat Phys 28(4):769–792
Haus JW, Kehr KW (1987) Diffusion in regular and disordered lattices. Phys Rep 150(5, 6): 263–406
Heider F (1946) Attitudes and cognitive organization. J Psychol 21:107–112
Heider F (1958) The psychology of interpersonal relations. Wiley, New York, NY
Hilfer R (1986) Renormierungsansätze in der Theorie ungeordneter Systeme. Harri Deutsch, Frankfurt/Main
Hohenberg PC, Halperin BI (1977) Theory of dynamic critical phenomena. Rev Mod Phys 49(3):435–479
Keener JP, Tyson JJ (1986) Spiral waves in the Belousov-Zhabotinskii reaction. Physica D 21:307–324
Kennedy AM (1983) The adoption and diffusion of new industrial products: a literature review. Eur J Mark 17(3):31–88
Mahajan V, Peterson RA (1985) Models for innovation diffusion. Sage, London
May RM (1973) Stability and complexity in model ecosystems. Princeton University Press, Princeton, NJ, pp 50–53, 193–194
Munz M, Weidlich W (1990) Settlement formation. Part II: Numerical simulation. Ann Reg Sci 24:177–196
Osgood CE, Tannenbaum PH (1955) The principle of congruity in the prediction of attitude change. Psychol Rev 62:42–55
Petty RE, Cacioppo JT (1986) Communication and persuasion. Central and peripheral routes to attitude change. Springer, New York, NY
Puu T (1989) Nonlinear economic dynamics, Chap. 3: Population dynamics. Springer, Berlin
Reiner R (1988) Interregionale migration. PhD thesis, University of Stuttgart
Schaffer WM, Olsen LF, Truty GL, Fulmer SL, Graser DJ (1988) Periodic and chaotic dynamics in childhood infections. In: Markus M, Müller StC, Nicolis G (eds) From chemical to biological organization. Springer, Berlin
Schweitzer F, Bartels J, Pohlmann L (1991) Simulation of opinion structures in social systems. In: Ebeling W, Peschel M, Weidlich W (eds) Models of selforganization in complex systems (MOSES). Akademie, Berlin
Scott SK (1991) Chemical chaos. Clarendon Press, Oxford
Troitzsch KG (1989) Mikromodellierung der Bildung politischer Einstellungen in interagierenden Populationen. In: Falter JW, Rattinger H, Troitzsch KG (eds) Wahlen und politische Einstellungen. Lang, Frankfurt/Main
Weidlich W (1971) The statistical description of polarization phenomena in society. Br J Math Stat Psychol 24:51
Weidlich W (1972) The use of statistical models in sociology. Collective Phenomena 1:51–59
Weidlich W (1987) Quantitative social science. Physica Scripta 35:380–387
Weidlich W (1991) Physics and social science—the approach of synergetics. Phys Rep 204:1–163
Weidlich W (1994) Synergetic modelling concepts for sociodynamics with application to collective political opinion formation. J Math Sociol 18:267–291
Weidlich W, Haag G (1983) Concepts and models of a quantitative sociology. The dynamics of interacting populations. Springer, Berlin
Weidlich W, Haag G (1987) A dynamic phase transition model for spatial agglomeration processes. J Reg Sci 27(4):529–569
Weidlich W, Haag G (eds) (1988) Interregional migration. Springer, Berlin
Weidlich W, Munz M (1990) Settlement formation. Part I: A dynamic theory. Ann Reg Sci 24:83–106
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Helbing, D. (2010). Opinion Formation Models. In: Quantitative Sociodynamics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11546-2_10
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