Observing Collectivities: The Combinatory Systems Approach in Social Sciences

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Since Thomas Schelling’s attempt, in Micromotives and Macrobehavior, to offer a logical explanation of why collective macro behaviour derives from the micro behaviours of intelligent agents and Conway’s discovery of the fantastic world of Life, the study of the behaviour of collectivities has been a very complex subject of study, and for this reason a fascinating and interesting one as well. If observed from a certain distance collectivities appear distinct with respect to the individuals that compose them and, due to the interactions of the micro behaviours, seem capable of producing interesting macro behaviours to which many relevant collective phenomena of self-organization may be associated; four of these processes are: the accumulation of objects, the spread of features or information, the pursuit or exceeding of a limit, and the attainment and maintenance of an order among the micro behaviours. To understand, explain and, to a certain extent, control these collective phenomena I have formalized the simple Theory of Combinatory Systems. In plain words, by Combinatory System I mean any unorganized collectivity made up of a plurality of similar agents producing analogous micro behaviours; the macro behaviour of the system, as a whole, derives from the combination of the analogous micro behaviours (hence the name Combinatory System); but, on the other hand, the macro behaviour directs the subsequent micro behaviours according to a feedback relation. The action of a set of recombining and necessitating factors guarantees the maintenance over time of the dynamics of the system, so that when the system starts up “by chance” it then maintains its behaviour “by necessity”, as if an invisible hand regulated its time path and produced the observable effects and patterns. This paper presents the fundamental ideas and mechanisms that underlie these systems, along with some models that illustrate the self-organization activity in collectivities.

Keywords: Behaviour of Collectivities, Combinatory Systems, Combinatory Automata, Social Dynamics, Populations and Collectivities, Systems of Accumulation, Systems of Diffusion, Systems in Pursuit, Systems of Order
Stream: Research Methodologies, Quantitative and Qualitative Methods
Presentation Type: Virtual Presentation in English
Paper: Observing Collectivities

Prof. Piero Mella

Chair of Business Administration, Department of Management Research
Faculty of Economics, University of Pavia

Pavia, Italy, Italy

Born in Pavia, graduated in March 1969 with a first class degree in Industrial administration, in 1985 I won a chair as a full professor and lectured in Business Economics and Administration at the Faculty of Economics of Pavia. In 1986 I was elected Head of the Department of Business Research at the University of Pavia. From 1987-88 to 1992-93 I was Dean of the Economics Faculty at the University of Pavia. Since it was founded in 1990 I have been the scientific Director of the Masters in Accounting, Budget and Financial Control in profit organizations, set up by the University of Pavia. In 1997 I became Co-ordinator of the Doctorate in Business Research at the University of Pavia. In 2000 I created the scientific web site www.ea2000.it. My interests also deal in the fields of Complex and Holonic Systems and of Networks. In 1997 I have proposed the Combinatory System Theory, described at the web site: www.ea2000.it/cst.

Ref: I08P0417