Add value one-to-one, by introducing people, by hosting groups, or by broadcasting to many. The personal experience is always where you start.
The idea
There are four ways to deliver value, and each reaches a different number of people. The Personal Experience is direct and one-to-one: an email, a card, a meeting, a gift. The Connector Experience is an introduction: two people get a new door opened and you get credit for it (1+1=3). The Group Experience is hosting: the experience itself is the gift, even if you only chat with each guest on the way in and out. The Broadcast Experience is content to a wide audience, lower value per person. In my coaching we boiled it down to direct value (helping them specifically) and indirect value (community and introductions).
How to do it
Default to personal for anyone who matters.
In one-to-ones, keep asking yourself who they should meet, then make a double opt-in intro.
Host when you want to deepen many relationships at once, and curate who comes.
Broadcast to your outer rings. The closer the relationship, the more an impersonal blast can backfire.
Choose formats that fit you. Social butterfly or quiet small dinners, both work.
Example
My own mix: lots of coffee meetings (for someone who doesn't drink coffee), where I ask what they're working on, what's hard and how I can help. Introductions are the usual output. For looser connections I've hosted hot sauce tastings and Battledecks, where people present slides they've never seen. And a warning from experience: I once emailed my whole database personal updates and resources. Most people liked it. A few I really cared about scolded me for sending something so impersonal. I stopped and went personal with them.
CAPITAL: Add Value: The second A in CAPITAL. Make each touchpoint meaningful, relevant and valuable, size it to the relationship, and deliver it personally, by connecting, by hosting or by broadcasting.
The Double Opt-In Introduction: Ask both people before connecting them, give a specific reason, and only make introductions both would thank you for.
Manufacture Shared Experiences: A slightly intense shared experience bonds people faster than polite chat, and even an event that goes wrong becomes a story you share.
Broadcast Rules: Anything you broadcast must be valuable on its own and fit the relationship; then watch who engages and turn that into one-to-one outreach.