Optimal patent licensing—Two or three-part tariff

Abstract

We look into technology transfer by an insider patentee in a spatial duopoly model under three types of licensing contracts—(i) two-part tariff with fixed fee and per-unit royalty, (ii) two-part tariff with fixed fee and ad-valorem royalty and (iii) general three-part tariff with fixed fee, per-unit and ad-valorem royalties. Under two-part tariff contracts, the licenser is better off with the per-unit royalty contract but the general contract does better than the other contracts. In contrast to the existing literature, all three licensing contracts may make the consumers worse-off compared to no licensing, with the lowest consumer surplus achieved under the general licensing contract. Welfare under the general licensing contract is equal to the welfare under two-part tariff with ad-valorem royalty and it is higher than the welfare under no licensing but lower than the welfare under two-part tariff with per-unit royalty. Hence, the general three-part licensing contract is privately optimal but not socially optimal. Similar conclusions hold also under a nonspatial linear demand model with differentiated products.