Information Technology Reference
In-Depth Information
The system of state equations established in this paper allows stochastically simulating
the outcome of a debate and effects of a control strategy on this particular issue.
One possible application of this model would obviously be to simulate a debate out-
come in order to obtain certain indications regarding the final collective decision. When
simulations are performed for a large number of initial agent convictions and speaker
intervention rankings, the probability that outcome is
1
can be estimated. Hence, the
dynamic influence model can be applied to either make the debate outcome more certain
(this may appear to be a dishonest method when agents are actual human beings, yet
remains a relevant technique when agents are artificial, such as sensors or classifiers) or
modify the convergence dynamics of the debate.
±
References
1. Bonnevay, S., Kabachi, N., Lamure, M., Tounissoux, D.: A multiagent system to aggregate
preferences. In: IEEE International Conference on Systems, Man and Cybernetics, Washing-
ton, USA, pp. 545-550 (2003)
2. Grabisch, M., Labreuche, C.: The symmetric and asymmetric choquet integrals on finite
spaces for decision making. Statistical paper, vol. 43, pp. 37-52. Springer, Heudelberg (2002)
3. Grabisch, M., Rusinowska, A.: A model of influence in a social network. Business and Eco-
nomics (2008)
4. Grabisch, M., Rusinowska, A.: Influence in social networks. In: COGIS 2009, Paris (2009b)
5. Hoede, C., Bakker, R.: A theory of decisional power. Journal of Mathematical Sociology 8,
309-322 (1982)
6. Imoussaten, A., Montmain, J., Rigaud, E.: Interactions in a Collaborative Decision Making
Process: Disturbances or Control Variables? In: COGIS 2009, Paris (2009)
7. Rico, A., Bonnevay, S., Lamure, M., Tounissoux, D.A.: Debat modelisation with the Sipos
integral. In: LFA 2004, Nantes (2004)
8. Rusinowska, A., De Swart: On some properties of the Hoede-Bakker index. Journal of Math-
ematical Sociology 31, 267-293 (2007)
9. Shapley, L.S.: A Value for n-Person Games. In: Kuhn, H., Tucker, A. (eds.) Contribution to the
Theory of Games. Annals of Mathematics Studies Princeton, vol. II(28), pp. 303-317 (1953)
