Problem
Research questions and friction points this paper is trying to address.
Bertrand competition
market segmentation
equilibrium profit
bounded willingness to pay
finite firms
A Note on Market Segmentation and Bertrand Competition
🤖 AI Summary
This study investigates the impact of market segmentation on equilibrium profits in Bertrand competition under the conditions of a finite number of firms and bounded consumer willingness to pay. Building upon the standard Bertrand model from game theory and microeconomics, the paper rigorously demonstrates that, regardless of how the market is segmented, equilibrium profits remain identically zero whenever these conditions hold. This finding implies that market segmentation strategies cannot enable firms to circumvent the zero-profit outcome inherent in price competition, thereby clarifying the role of market structure in the robustness of the Bertrand paradox and reinforcing the applicability of the classic result under more general settings.
📝 Abstract
In this note, we show that equilibrium profit is zero in Bertrand competition with a finite number of firms and consumers whose willingness to pay are bounded, under any market segmentation profile.
Innovation
Methods, ideas, or system contributions that make the work stand out.
Bertrand competition
market segmentation
equilibrium profit
bounded willingness to pay
zero-profit equilibrium
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