Competition and Quality in Regulated Markets: A Differential Game Approach

Working Paper: CEPR ID: DP6801

Authors: Kurt Richard Brekke; Roberto Cellini; Luigi Siciliani; Odd Rune Straume

Abstract: We investigate the effect of competition on quality in regulated markets (e.g., health care, higher education, public utilities) taking a differential game approach, in which quality is a stock variable. Using a Hotelling framework, we derive the open-loop solution (providers commit to an optimal investment plan at the initial period) and the feedback closed-loop solution (providers move investments in response to the dynamics of the states). If the marginal provision cost is constant, the open-loop and closed-loop solutions coincide, and the results are similar to the ones obtained by static models. If the marginal provision cost is increasing, investment and quality are lower in the closed-loop solution: in fact, quality drops to the minimum level in steady state, implying that quality competition is effectively eliminated. In this case, static models tend to exaggerate the positive effect of competition on quality. Our results can explain the mixed empirical evidence on competition and quality for regulated markets.

Keywords: competition; quality; regulated markets

JEL Codes: H42; I11; I18; L13


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
Competition (L13)Quality (if marginal cost is constant) (L15)
Marginal cost (constant) (D41)Investment and Quality (similar levels) (L15)
Increasing Marginal Cost (D40)Lower Investment and Quality (L15)
Dynamic Strategic Interactions (C73)Minimum Quality Level (L15)
Quality Competition (L15)Minimum Quality Level (under increasing marginal costs) (L15)
Static Models (C59)Overestimation of Benefits of Competition on Quality (L15)

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