A method of managing a plurality of client machine "Web agents" vying for a resource in a computer network having a central authority. The resource may be a limited number of telephone connections in a dialup telephone network. At each client machine, a map of available agent start times is generated based on resource usage statistics and given scheduling criteria distributed by the central authority. Using this information, an available agent start time is selected at random from the map. This start time is then set as a "regular" start time at which the particular agent initiates some agent activity on behalf of a user of the client machine. If, however, the client machine is unable to obtain access to the resource according to a given criteria, the map of available agent start times is then regenerated to enable the agent associated with the client machine to reschedule itself to a new start time for the agent activity. Thus, each agent performs its own scheduling based on the resource usage statistics and/or given scheduling criteria distributed from the central authority.