Differentiation in a Two-Dimensional Market with Endogenous Sequential Entry
Jeffrey D. Michler, Benjamin M. Gramig

TL;DR
This paper explores how endogenous entry influences spatial differentiation in a two-dimensional market, revealing conditions under which firms maximize or minimize differentiation across both dimensions.
Contribution
It extends existing Hotelling models by incorporating endogenous market entry, showing how strategic entry decisions affect spatial differentiation outcomes.
Findings
Market entry strategies influence differentiation levels
Maximum differentiation can occur in both dimensions
Entry deterrence impacts firms' spatial positioning
Abstract
Previous research on two-dimensional extensions of Hotelling's location game has argued that spatial competition leads to maximum differentiation in one dimensions and minimum differentiation in the other dimension. We expand on existing models to allow for endogenous entry into the market. We find that competition may lead to the min/max finding of previous work but also may lead to maximum differentiation in both dimensions. The critical issue in determining the degree of differentiation is if existing firms are seeking to deter entry of a new firm or to maximizing profits within an existing, stable market.
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