COWLES FOUNDATION FOR RESEARCH IN ECONOMICS
AT YALE UNIVERSITY

Box 208281
New Haven, CT 06520-8281

Lux et veritas

COWLES FOUNDATION DISCUSSION PAPER NO. 1358

COMPETITION IN OR FOR THE FIELD: WHICH IS BETTER?

Eduardo Engel, Ronald Fischer and Alexander Galetovic

April 2002
Updated July 2007

A principal, who wants prices to be as low as possible, contracts with agents who would like to charge the monopoly price. The principal chooses between a Demsetz auction, which awards an exclusive contract to the agent bidding the lowest price (competition for the field) and having two agents provide the good under (imperfectly) competitive conditions (competition in the field). We obtain a simple sufficient condition showing unambiguously which option is best. The condition depends only on the shapes of the surplus function of the principal and the profit function of agents, and is independent of the particular duopoly game played ex post. We apply this condition to three canonical examples — procurement, royalty contracts and dealerships — and find that whenever marginal revenue for the final good is decreasing in the quantity sold, the principal prefers a Demsetz auction. Moreover, a planner who wants to maximize social surplus also prefers a Demsetz auction.

Keywords: Demsetz auction, Double marginalization, Franchising, Joint vs. separate auctions, Monopoly, Procurement, Dealerships, Royalty contracts

JEL Classification: D44, L12, L92