Price Discrimination in the Presence of Customer Loyalty and Differing Firm Costs

TL;DR

This paper investigates how customer loyalty and differences in firm costs affect market outcomes like pricing, market shares, and profits, extending previous models by considering cost asymmetry and complex loyalty behaviors.

Contribution

It introduces a game-theoretic model that explicitly incorporates cost asymmetry and richer customer loyalty behaviors, providing new insights into pricing and market strategies.

Findings

Loyalty and cost differences significantly impact prices and profits.

Firms can survive competition by managing costs and increasing customer loyalty.

Market outcomes are sensitive to the interplay of loyalty levels and cost asymmetries.

Abstract

We study how loyalty behavior of customers and differing costs to produce undifferentiated products by firms can influence market outcomes. In prior works that study such markets, firm costs have generally been assumed negligible or equal, and loyalty is modeled as an additive bias in customer valuations. We extend these previous treatments by explicitly considering cost asymmetry and richer customer loyalty behavior in a game-theoretic model. Thus, in the setting where firms incur different non-negligible product costs, and customers have firm-specific loyalty levels, we comprehensively characterize the effects of loyalty and product cost difference on market outcomes such as prices, market shares, and profits. Our analysis and numerical simulations provide new insights into how firms can price, how they can survive competition even with higher product costs, and how they can control these costs and/or increase customer loyalty to change their market position.