Given that your time is limited, the number of your relationships and the average strength of your relationships end up being inversely proportional. The more people you know, the less well you know them. If you want to build stronger relationships, you're going to have to do so with a smaller number of people. You can spend all of your time with your close friends and family (strong ties, low number), or spread yourself thin across a wide number of people (weak ties, high number). However, maintaining both high strength and high number is physically impossible. How can you find the proper balance between strength and number?
This debate has been exacerbated by the proliferation of social networking sites that make it feasible to have a personal "network" of several thousand people. The leaders of some of the networks have taken some strong stands on the issue:
Those absolutes are difficult to sustain in practice. For example, LinkedIn very strongly positions itself on the quality of its membership and encourages members to focus on people you've worked with before in some capacity. Their tips on who to invite say:
But at the same time, the design of the site encourages people to maximize their number of connections. The more people you're directly connected to, the fewer number of degrees away you are from people, on average. With more direct connections, you can see more people, more people can see you, and you're more likely to come up at the top of searches, which by default order the results by "degrees away from you." The FAQ may encourage quality over quantity, but in practice, quantity is also rewarded. This is a fundamental tension in LinkedIn's design. What allows LinkedIn to still be a valuable application is that quantity also carries a cost: more link requests which you are likely to reject. Some of the most-connected people on LinkedIn have complained about the number of irrelevant requests they're getting. That's exactly the way the system should work; those people are paying the price for linking indiscriminately.
Another interesting example of the value that people place on quality relationships is the new Ecademy BlackStar program: a lifetime membership, plus some exclusive coaching, introductions, and other services, all for a $4,500 one-time fee. While that might seem prohibitively expensive, apparently many see the value -- over 2,000 of Ecademy's 47,000 members have already applied. The fact that people will pay that much money is proof that people value online network systems such as Ecademy. Membership is limited to 25 new members per month, "because Thomas Power and Roger Hamilton have limited time available to serve BlackStar Life Members and wish to provide exceptional service and intimacy levels," and "to ensure quality levels, service levels, and qualification levels." While Thomas may practice the volume approach for himself, he recognizes that it's not necessarily the approach everyone wants or needs, and that building stronger relationships requires doing so with a smaller number of people.
So, back to the original question: How do you find the right balance of strong ties with highly relevant people vs. maximizing the number of people in your network?
The answer is that each person's needs are different, and the way to optimize the value of your network is to determine the necessary level of strength required to accomplish your goals, and then maximize the number of people at that level.