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- W1901986303 abstract "This dissertation is devoted to the mathematical investigation of properties of complex socio-economic systems, where individual behaviors, and their interactions,exert a crucial influence on the overall dynamics of the whole system. In order to understand the importance of such an investigation, it is necessary to briefly analyze some conceptual aspects relating to the interaction between applied mathematics and socio-economic sciences. The main issue in this field consists in coupling the usual qualitative interpretation of socio-economic phenomena with an innovative quantitative description by means of mathematical equations. This dialogue, however difficult, is necessary to reach a deeper understanding of socio-economic phenomena, where deterministic rules may be stochastically perturbed by individual behaviors. The difficulty mostly stems from the fact that thebehavior of socio-economic systems, where the collective dynamics differ from the sum of the individual behaviors, is a paradigmatic example of a complex system. These aspects are discussed in the introductory section that follows. The mathematical framework presented in this dissertation is built by suitable developments of the so-called mathematical kinetic theory for active particles,which proved to be a useful reference for applications in many fields of life sciences. The description of a system by the methods of the mathematical kinetic theory essentially implies the definition of the microscopic state space of the interacting entities and of the distribution function over this state space. In the case of living systems, the identification of the microscopic state spacerequires the definition of an additional variable, called activity, which captures the specific dynamical aspects of the system under consideration. Entities of living systems, called active particles, may be organized into several interacting populations. This dissertation presents in a unified context the results of the doctoral work, mostly described in four peer-reviewed research papers that are included as appendices of this dissertation. The essential ideas of each of the papers are introduced and summarized next. The first three papers exploit tools and developments of the kinetic theory for active particles, while the fourth paper is based on a different tool, namely on agents’ methods. The first paper,[3], develops a mathematical framework based on the kinetic theory for active particles, which describes the evolution of large systems of interacting entities. These entities are carriers of specific functions, in this case economic activities. The mathematical framework is constructed by means of a suitable decomposition into functional subsystems, namely aggregations of entities, which have the ability of expressing socio-economic purposes and unctions. The paper shows how this framework can be implemented to describe some specific complex economic applications. Specifically, the applications are focused onopinion dynamics and job mobility phenomena. These two examples offer a first insight into multi-scale issues: starting from the application, a preliminary mathematicalframework which takes into account both microscopic and macroscopic interactions is developed. This framework may be adapted to a great variety of complex phenomena. The second paper,[4], contains the initial elements of the development of the mathematical theory for complex socio-economic systems, already introduced in the first paper. The approach is based on the methods of the mathematicalkinetic theory for active particles. The key concept of functional subsystem is analyzed in detail, developing suitable mathematical models, which involve the decomposition of the overall system into functional subsystems. Different examples of socio-economic phenomena are taken into account, in order to provide an application background. The theoretical framework is then adapted to a specific application, dealing with opinion formation dynamics, which leads to numerical simulations, that show some preliminary interesting results. The third paper,[5], further develops the theory introduced in the first and second papers, with the setting of a mathematical model, where external actions play a key role. The aim of [5] consists in showing the emergence of collective behaviors or macroscopic trends from interactions at the microscopic scale, where agents are grouped into functional subsystems. The approach is, again, based on the methods of the mathematical kinetic theory for active particles: in this application the specific functions expressed by the interacting entities are socio-political activities subjected to the influence of media. Also in this case, numerical simulations show a direct application of the theoretical model, by means of specific settings of key parameters of the model. Finally, the fourth paper,[6], derives an agent-based model, which allows the investigation of the socio-economic phenomenon of fashion. The model introduces two classes of agents, common agents and trend-setters, which play the dynamics that rule the emerging behaviors investigated by means of numericalsimulations. Both the numerical and analytical tools used in this last paper differentiate it from the previous three works. Nevertheless, except for some conceptual differences, the approach is still focused on extracting emerging behaviors from individual-based interactions. The goal is to illustrate and implement different methodologies within the same research environment." @default.
- W1901986303 created "2016-06-24" @default.
- W1901986303 creator A5022518039 @default.
- W1901986303 date "2009-01-01" @default.
- W1901986303 modified "2023-09-22" @default.
- W1901986303 title "New paradigms and mathematical methods for complex systems in behavioral economics" @default.
- W1901986303 cites W1495235237 @default.
- W1901986303 cites W1500586530 @default.
- W1901986303 cites W1501219137 @default.
- W1901986303 cites W1510672157 @default.
- W1901986303 cites W1539297723 @default.
- W1901986303 cites W1541965344 @default.
- W1901986303 cites W1573579329 @default.
- W1901986303 cites W1575989700 @default.
- W1901986303 cites W1642510806 @default.
- W1901986303 cites W1644749979 @default.
- W1901986303 cites W1653062510 @default.
- W1901986303 cites W1713503745 @default.
- W1901986303 cites W17207001 @default.
- W1901986303 cites W1823439115 @default.
- W1901986303 cites W1927157997 @default.
- W1901986303 cites W1968023163 @default.
- W1901986303 cites W1969152625 @default.
- W1901986303 cites W1969407482 @default.
- W1901986303 cites W1972107878 @default.
- W1901986303 cites W1974281985 @default.
- W1901986303 cites W1977905088 @default.
- W1901986303 cites W1980115265 @default.
- W1901986303 cites W1981101271 @default.
- W1901986303 cites W1982264616 @default.
- W1901986303 cites W1984959063 @default.
- W1901986303 cites W1985262352 @default.
- W1901986303 cites W1986440448 @default.
- W1901986303 cites W1988833629 @default.
- W1901986303 cites W1989020845 @default.
- W1901986303 cites W1994783660 @default.
- W1901986303 cites W1996493835 @default.
- W1901986303 cites W1999251566 @default.
- W1901986303 cites W2004171936 @default.
- W1901986303 cites W2006272387 @default.
- W1901986303 cites W2008028038 @default.
- W1901986303 cites W2009395862 @default.
- W1901986303 cites W2012926794 @default.
- W1901986303 cites W2015676433 @default.
- W1901986303 cites W2017502956 @default.
- W1901986303 cites W2018840733 @default.
- W1901986303 cites W2018987171 @default.
- W1901986303 cites W2019457794 @default.
- W1901986303 cites W2022442392 @default.
- W1901986303 cites W2023937672 @default.
- W1901986303 cites W2026936056 @default.
- W1901986303 cites W2034971155 @default.
- W1901986303 cites W2038468206 @default.
- W1901986303 cites W2039473144 @default.
- W1901986303 cites W2044059523 @default.
- W1901986303 cites W2045580222 @default.
- W1901986303 cites W2046539957 @default.
- W1901986303 cites W2046603983 @default.
- W1901986303 cites W2048632513 @default.
- W1901986303 cites W2048740639 @default.
- W1901986303 cites W2060696019 @default.
- W1901986303 cites W2060798984 @default.
- W1901986303 cites W2075903724 @default.
- W1901986303 cites W2075948692 @default.
- W1901986303 cites W2079070585 @default.
- W1901986303 cites W2083321256 @default.
- W1901986303 cites W2084671413 @default.
- W1901986303 cites W2085758711 @default.
- W1901986303 cites W2089390791 @default.
- W1901986303 cites W2092128335 @default.
- W1901986303 cites W2092895546 @default.
- W1901986303 cites W2101247764 @default.
- W1901986303 cites W2102914338 @default.
- W1901986303 cites W2106104958 @default.
- W1901986303 cites W2109100253 @default.
- W1901986303 cites W2112090702 @default.
- W1901986303 cites W2112709014 @default.
- W1901986303 cites W2113096089 @default.
- W1901986303 cites W2113419089 @default.
- W1901986303 cites W2114499604 @default.
- W1901986303 cites W2117357509 @default.
- W1901986303 cites W2130541529 @default.
- W1901986303 cites W2136407110 @default.
- W1901986303 cites W2141042444 @default.
- W1901986303 cites W2144846366 @default.
- W1901986303 cites W2144934960 @default.
- W1901986303 cites W2149899514 @default.
- W1901986303 cites W2151119636 @default.
- W1901986303 cites W2151919674 @default.
- W1901986303 cites W2153985030 @default.
- W1901986303 cites W2157489923 @default.
- W1901986303 cites W2159636864 @default.
- W1901986303 cites W2167205222 @default.
- W1901986303 cites W2169373023 @default.
- W1901986303 cites W2213260112 @default.
- W1901986303 cites W2232938414 @default.
- W1901986303 cites W2268683859 @default.
- W1901986303 cites W2292178549 @default.
- W1901986303 cites W2318442875 @default.
- W1901986303 cites W2326872247 @default.