View source for The problem of coordination

{{en|[[User:WinSysop|Tal Yaron]] 14:17, 13 March 2013 (IST)}}
[[File:Complex-Communication-single-group.gif|250px|thumb|right|As the number of group members grows, the number of connection lines is being enhanced quadratically]]
As the number of members in a group grows, the number of connections between the members will get higher quadratically. This is causing the slowing down of coordination. If the group will use peer-to-peer equal terms deliberation, the amount of communication time will get bigger quadratically, thus sending the group to a halt. To solve this, groups usually use unequal methods of deliberation and influence, like hierarchical organization. 

The mathematical formula for the number of connection lines in a group is:

'''cl=((n-1)^2+(n-1))/2'''

cl = connection lines; n  = number of group members

In large numbers we  can round up the equation to:

'''cl=(n^2)/2)'''

Thus, a group of:

* 2 members will have 1 cl
* 3 members will have 3 cl
* 4 members will have 6 cl
* 6 members will have 15 cl
* 10 members will have 45 cl
* 15 members will have 105 cl
* 100 members will have 4950 cl
* 300 million members will have 45,000,000,000,000,000 cl (This is the connection lines needed for true democracy in the USA)

One of the consequences of this proble is [[participation function]].
==See Also==
*[http://en.wikipedia.org/wiki/Coordination_game Coordination game]
*[[Barriers to agreements]] 
*Dahl on size of participation<ref>[http://www.posgradofadu.com.ar/archivos/biblio_doc/351_A_Democratic_Dilemma.pdf Dahl, R. A. (1994). A democratic dilemma: system effectiveness versus citizen participation. Political Science Quarterly, 109(1), 23–34.]</ref>

==References==
<references/>
[[category: deliberation]]
[[category: epistemology]]