It is often said in the field of complex systems that such systems achieve self-organisation through simple order-generating rules. Under what conditions is such self-organisation achieved?
I do not think that a complex system can attain self-organization without an external, probably continuous, help because there is a natural tendency in this universe for an increase in entropy (or more & more disorder). It is well-known that destruction is easier than construction because destruction causes more entropy "in full agreement with the laws of thermodynamics which have many dimensions besides chemistry & physics". In my opinion, self-organization occurs under one condition: an outside help for the object targeted for organization.
See Section 1.3 (Self-organization, universality and scaling), starting on page 6. The challenge is for any entity to survive (and flourish) when it finds itself in situations in between order and disorder. A very detailed introduction to self-organization in biological systems is given in Section 1.5, starting on page 8.
A very detailed introduction to conditions (and rules) required for self-organizating is given in
C. Gershenson, Design and control of self-organizing systems, Ph.D. thesis, Vrije Universiteit Brussel, 2007:
http://cogprints.org/5442/1/thesis.pdf
For example, in typical swarming rules, agents start to move with varying speeds towards the centre of a swarm, while mutually adjusting their velocities to avoid collisions (see Section 3.2, starting on page 24, especially page 27). This view of swarming behaviour carries over to artificial self-organizing systems such as a swarm of robots (see Section 3.5.1, starting on page 33) and self-organizing traffic lights (see Section 5.1, starting on page 62).
Self-organization canon and should not be taken as a general token. Several efforts have been made to explain and understand self-organization. Thus, f.i., it appears that boolean networks can be safely identifies as genesis of self-organization. Translated into biological terms, this refers to self-catalytic cycles, which are essentially open and increasing.
Furthermore, self-organization has been said to be the outcome of scale-free networks, This explanation focuses on a different scale, but has also proved solid and robust.
Self-organization can not work unless there is a outside interference to manage it.
Self-organization is the spontaneous often seemingly purposeful formation of spatial, temporal, spatiotemporal structures or functions in systems composed of few or many components. In physics, chemistry and biology self-organization occurs in open systems driven away from thermal equilibrium. The process of self-organization can be found in many other fields also, such as economy, sociology, medicine, technology.
I would say quite the contrary. Self-organization is one of those marvelous concepts and approaches in complex science that steps far aside from causality. There is no need of an external cause for a self-organized system to emerge. This is what a boolean network entails.
Please allow me to put it straightforward in the jargon of complexity: a complex system appears with a minimum complexity. This means, a complex system is not the result of the aggregation of elements. Quite on the contrary, it is the outcome of a synthesis.
Very nice, indeed dear Guido. Even conspicuous physicists working on complex systems have already acknowledged that the physical systems are not as complex as the biological or the human systems. As we know, in fact, pearhead research in phsyics or math, f.i. has turned the focus on living systems in general. A most fascinating shift!
It is a process by which systems of many components tend to reach a particular state, or a small volume of their state space, with no external interference.
Yes, my friend. I agree with you that the self-organisation must have various and hierarchical degrees which may highly influence the necessary conditions.
I agree with Dr Nizar that there is a natural tendency in this universe for an increase in entropy (or more & more disorder). This is also true for any isolated systems, but not always true for open systems.
Dear András, voilà a fine-tuned question. Honestly speaking, in the context of self-organizzation the language about "standards" is not possible at all. A number if studies have sufficiently show that self-organization is a structure or dynamics that occurs in far-from equilibrium conditions. Hence, no standards, no matter what. A further consequence is that it makes no sense to speak of inputs and outputs - not even in terms of asymmetry between them - when dealing with self-organized systems. This is one of the marvels of complex science, in fact.
In human complex systems I like the views of Csikszentmihalyi and Sawyer who identified conditions for autotelic experience (or flow) in indivuals and in groups. I have attached a case study of a group of 200 people that went through a complex self-organizing experience and then reflected on the conditions that made it happen. I juxtaposed them with Sawyers and Csikszentmihalyi's conditions so this short piece contains the references to their work as well.
Lots of good answers have already given by my predecessors! Dear @Mohamed, I am attaching some more resources which are valuable for this thread! "Self-organization is another of the foundational concepts within complex systems that is proving particularly relevant to the world of the 21st century as we see collaborative self-organizing groups such as Wikipedia and the Linux foundation emerge. But self-organization is more than just a social phenomenon..." THE SCIENCE OF SELF ORGANIZATION AND ADAPTIVITY by Francis Heylighen - article is attached!
There are lots of models with this behavior. I myself am working over consensus algorithms to reach agreements in agent.based systems based on the ideas of
@Mohamed sure! the complexity does not depend on how simple the input/output is. Indeed, very complex systems are modeled with simple equations/rules. Usually the complexity is related with the number of participants, how are they connected or chaotic evolution, among others.
Most answers are about self-organization in biology. But some economists also describe those phenomena (although this is not a mainstream).
I can mention Alan Kirman. I know that he studied self-organization of ants and fish market in Marseille, and here I just found his recent publication criticizing principles of classical economics: http://www.paecon.net/PAEReview/issue64/HelbingKirman64.pdf
Brian Arthur is another economist interested in self-organization. See for example his book "Increasing returns and path dependence in the economy".
One thought or question I have currently is "To what degree do we need to talk about all key social concepts when we determine something like the model suggested above in "by Complex systems achieve self-organisation if the entrance (income) and exit (outcome) of the system are standardized"?
This means that Social Constructs making up these two (income and outcomes) will need to be observed and acknowledged, doesn't it?
Interesting question, it is my thesis research question actually. I focus my research on human systems, in which I found the following principles necessary so far to achieve self-organizing behavior;
1. Distribution of control/authority.
Distribution of authority makes the system highly complex, and, therefore, self-organizing, because the freedom of each agent is increased, which creates a chaotic context to work with. The chaos and tensions between all agents because of the distributed control in an organisation creates the fuel for novelty. New pathways are continuously explored and tested, first using mental models, then testing it out in the real to see which path to take is the best 'fit' based on external tensions the system has with other systems.The chaos caused by the competition and cooperation of the agents in the organization is, therefore, necessary to put the system far from equilibrium, on the edge of chaos, so that the whole organization can continuously evolve according to its purpose. Which brings me to the following principle;
2. Evolutionary purpose/goal.
All agents in the organization are constantly (re)defining the purpose of the organization based upon the information they have of their surroundings. The existence of the organization is rooted in evolutionary principles, so the organization has to make itself relevant to other systems in their environment in order to survive and thrive. This purpose is formed bottom up by the agents, and creates a structure/a higher order within which the agents can execute their freedoms. This structure influences the behavior of the agents by top-down causality through positive and negative feedback loops. Decisions by individual agents that add to this purpose are enforced through positive feedback loops, deviant behavior that deflects this purpose are certainly allowed to a certain level in order to experiment, but probably corrected or cancelled because of the negative feedback loops if it turns out that the behavior is not contributing or damaging the purpose of the organization.
3. Qualities of the people/agents in the organization.
In order for self-organization to work, the people in the organization need to be willing to take responsibility, initiative and be willing to make mistakes. They have to differentiate themselves from others in their professions and expertise in order to create diversity in the system, plus they have to be able to communicate and exchange clearly with other agents so that there is a high level of connectivity between all agents. Basically said, there has to be diversity and connectivity between the agents to create a complex enough context out of which novelty can occur.
(4.) Self-organizing systems need constant energy to sustain its processes based on the principles of thermodynamics.
More obvious, following evolutionary principles, an organization of people are just like biological systems, semi-autonomous and requires external help/inputs to function. Organizations are co-dependent upon relevant systems in their environments. No organization is a one-man island on the longer term. So they require energy, matter or information (raw materials of a low level of entropy) to put products and services back into their environment to create a level of reciprocity. Waste is dissipated into 'buffer zones' into neighboring systems with a higher level of entropy. This dissipative structure of self-organizing systems is key in creating efficiency and prolonging the system from maximum entropy, until eventually, it ceases to exist, like pretty much everything.