On Beckmann's Dispersed "Interaction City"

Beckmann's interaction model has each resident touching base in face-to-face activity with every other resident, per unit time, at the other's residence. We re-work his resulting "interaction city" with each resident "operating with" a Cobb-Douglas utility function. We then turn to a more satisfactory "technology" of residents interacting and solve for an interaction city with an explicit payoff to resident i for engaging in interaction.