Contributed Session Fri.3.H 3027

Friday, 15:15 - 16:45 h, Room: H 3027

Cluster 7: Finance & economics [...]

Decision making


Chair: Marta Becker Villamil



Friday, 15:15 - 15:40 h, Room: H 3027, Talk 1

Marta Becker Villamil
Modelling and simulation of social segmentation with individual and competitive parameters

Coauthors: Luiz Paulo Luna de Oliveira, Bruno Larentis


Social influence is the process by which individuals develop real changes in their feelings and their behavior as a result of interaction with other individuals. When individuals relate to each other, considering a heterogeneous population, behavior patterns allow groups formation. Studies of group behaviors inside a population have applications like preparation to marketing campaign for competitive products, tendencies analysis of electors in political campaigns and to simulate all situations where groups with antagonist ideas compete for new members. This work proposes the use of Lotka-Volterra differential equations to model the segmentation of a population into two groups, each one associated with concepts/choices competitors. In this scope, the coefficients of the Lotka-Volterra equations are defined from the average of the parameters of the individuals which are member of each group. Furthermore the model is dynamic. Model coefficients are updated as groups update their number of members. Individual parameters also continue to change due interactions. With this, the system modeling is replaced by a stochastic component, becoming the linear stability analysis innocuous.



Friday, 16:15 - 16:40 h, Room: H 3027, Talk 3

José Gilberto Hernández Ramírez
The amplitude model and regret model in decision making under uncertainty

Coauthors: María J. García G., Gilberto J. Hernández G.


Upon reinforcing the traditional methods for decisions making under uncertainty, especially Hurwicz and Laplace, the amplitude model (TAM) was created.
TAM, among the parameters to choose the best alternative, takes into account the amplitude.
Although it is created to reinforce other methods, TAM has taken own life.
Besides TAM has extended to decisions making under risk, with the model of amplitude for risk and uncertainty (MARU).
Likewise has worked TAM together the regret model (Minimax). The maximum repentance of Minimax has been used as parameter of TAM and the amplitude of the repentance to evaluate Minimax.
In this work continues with this search, of there that the objective of the same one is to create a new model, based on the philosophy of the amplitude model, using simultaneously as parameters the amplitude of the payments and the maximum repentance of the same.
To reach this objective will be used like methodology the scientific method for research operations.
For the illustration and validation of the new model will be contrasted against the traditional methods and other variant of TAM, through problems created especially for it.
%Keywords: Decision


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