By Thomas S. Ferguson, J. B. Macqueen, Lloyd S. Shapley
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Additional info for Statistics, Probability & Game Theory: Papers in Honor of David Blackwell
G. the boundary conditions) but bases on the autonomous dynamics of the system. (Cf. [106, 107]). In Sect. 4, for example, it can be found that the opinion distribution in a subpopulation will develop completely differently in time if the control parameter ‘indifference with respect to the held position’ exceeds a certain critical value. Whereas below this value one sticks to the personally preferred position, above the critical value it will be abandoned in favour of new positions. A typical phase transition in physics is the transition from gaseous to liquid state when the control parameter ‘temperature’ is reduced below the condensation point.
Since the attractive interactions are more or less ‘saturated’ by the bonds, the interactions within these units are stronger than the interactions between them (boundary formation). The relatively weak residual interactions between the formed units induce their relatively slow state changes. 2 How to Describe Social Processes in a Mathematical Way 15 Consequently, a general interdependence between the interaction strength, the rate of state changes, and the formation of hierarchical levels can be found.
Decisions are discontinuous changes of the behavior after a period of critical fluctuations (repeatedly changing one’s mind) and of critical slowing down (hesitation to take the decision). This suggests that decisions are phase transitions [18, 19]. In the following, we will develop a more detailed picture of the decision-making process based on experimental observations [27, 28] (for more details see Chap. 7, 24 2 Dynamic Decision Behavior [18, 19]). According to Feger [27, 28] decisions are conflict situations occurring when we can choose between several mutually exclusive behavioral alternatives i.
Statistics, Probability & Game Theory: Papers in Honor of David Blackwell by Thomas S. Ferguson, J. B. Macqueen, Lloyd S. Shapley