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The Equivalence of Price and Quantity Competition with Incentive Scheme Commitment (2001)
| Citations: | 21 - 0 self |
BibTeX
@MISC{Miller01theequivalence,
author = {Nolan H. Miller and Amit Pazgal and Thank Bill S and Daniel Spulber},
title = {The Equivalence of Price and Quantity Competition with Incentive Scheme Commitment},
year = {2001}
}
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Abstract
We consider a two stage dierentiated products duopoly model (with linear demand and constant marginal cost). In the first stage profit maximizing owners choose incentive schemes in order to induce their managers to exhibit a certain type of behavior. In the second stage the managers compete either in prices or in quantities. In contrast to Singh and Vives (1984), we show that if the owners have sufficient power to manipulate the incentives of their managers, the equilibrium outcome is the same regardless of whether the firms compete in prices or in quantities. Basing the manager's objective function on a convex combination of own profit and the difference between own profit and the rival firm's profit is sufficient for the equivalence result to hold.
Keyphrases
incentive scheme commitment quantity competition equivalence result rival firm equilibrium outcome incentive scheme linear demand certain type second stage first stage profit maximizing owner product duopoly model constant marginal cost sufficient power convex combination objective function
