Input Pricing and Market Share Delegation in a Vertically Related Market: Is the Timing Order Relevant?

This paper adds to the literature on the strategic use of managers’ contracts in competition by examining whether market‐share delegation, in which managers receive rewards based on a combination of profits and market share, and the order of moves affect input pricing in a vertically related market. It shows that: (i) input pricing is not affected by delegation form and the order of moves between upstream and downstream firms under quantity competition; (ii) downstream firms obtain the same profit as in the simple Nash equilibrium regardless of delegation forms in a delegation–input price–quantity competition game; and (iii) the upstream monopolist will set input price beforehand regardless of the delegation form. Since the outcomes in our model create higher quantity and lower price in a Cournot product market, it lessens the double‐marginalization problem in such a vertically separated industry.