Abstract

We study a risk-averse newsvendor problem with quantity competition and price competition. Under the Conditional Value-at-Risk (CVaR) criterion, we characterize the optimal quantity and pricing decisions under both quantity and price competition. For quantity competition, we consider two demand splitting rules, namely proportional demand allocation and demand reallocation. Although competition always leads to overstocking, interestingly it does not necessarily lead to a profit loss in certain competitive environments, such as demand reallocation, by avoiding/reducing overstocking that results from competition under the risk-neutral criterion. For price competition, we consider both additive and multiplicative demand. We find that the order quantity, sale price, and the expected profit decrease in the degree of risk aversion. Further, both high price sensitivity and competition intensity force decision makers to lower their prices. However, high price sensitivity always reduces the order quantity while competition can have the opposite effect.

Highlights

  • The newsvendor problem, as one of the fundamental problems in supply chain management, is an one-time business decision in which a monopolist vendor orders inventory before a one period selling season with stochastic demand

  • To fill these research gaps, we study the risk-averse competitive newsvendor problem, using Conditional Value-at-Risk (CVaR) as the risk measure and considering both quantity competition and price competition

  • We study the effect of risk aversion for the competitive newsvendor problem, using CVaR as the risk measure and considering both quantity competition and price competition

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Summary

Introduction

The newsvendor problem, as one of the fundamental problems in supply chain management, is an one-time business decision in which a monopolist vendor orders inventory before a one period selling season with stochastic demand. Through an experimental study, Schweitzer and Cachon (2000) show that the ordering decisions reflect risk aversion for high profit products Motivated by these arguments, research on riskaverse models with different objective functions to reflect risk preferences has become an important stream. Mean-variance, and VaR/CVaR are the three main research streams of modeling risk averseness in inventory and pricing problems. Several researchers (e.g., Wang, 2010) have recently considered risk-averse competitive newsvendor problem under a utility criterion, the aforementioned drawbacks of the expected-utility framework hinder practical implementation. To fill these research gaps, we study the risk-averse competitive newsvendor problem, using CVaR as the risk measure and considering both quantity competition and price competition.

The competitive newsvendor problem
The risk-averse newsvendor problem
Model description
Quantity competition
A proportional demand allocation problem
A demand reallocation problem
Price competition
Additive demand
Multiplicative demand
The effect of risk aversion and competition
Nonidentical newsvendors: a numerical investigation
Price competition with additive demand
RΦÀ1 Þþ À1
Price competition with multiplicative demand
Findings
Conclusion
Full Text
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