Bivariate Newsvendor Competition: Theory and Experiment

Last registered on March 21, 2023

Pre-Trial

Trial Information

General Information

Title
Bivariate Newsvendor Competition: Theory and Experiment
RCT ID
AEARCTR-0011095
Initial registration date
March 20, 2023

Initial registration date is when the trial was registered.

It corresponds to when the registration was submitted to the Registry to be reviewed for publication.

First published
March 21, 2023, 4:57 PM EDT

First published corresponds to when the trial was first made public on the Registry after being reviewed.

Locations

Primary Investigator

Affiliation
Harbin Institute of Technology

Other Primary Investigator(s)

PI Affiliation
Harbin Institute of Technology
PI Affiliation
RMIT University
PI Affiliation
Harbin Institute of Technology

Additional Trial Information

Status
Completed
Start date
2021-09-29
End date
2021-10-07
Secondary IDs
National Natural Science Foundation of China
Prior work
This trial does not extend or rely on any prior RCTs.
Abstract
We study decision making in duopolistic newsvendor games where two newsvendors compete over inventory and prices. The market has a fixed total demand size but uncertainty in demand allocation. One newsvendor receives high demand and the other low demand, determined either stochastically by chance or strategically by prices. Laboratory experiments are conducted to verify the theoretical predictions.
External Link(s)

Registration Citation

Citation
Liu, Yue et al. 2023. "Bivariate Newsvendor Competition: Theory and Experiment." AEA RCT Registry. March 21. https://doi.org/10.1257/rct.11095-1.0
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Experimental Details

Interventions

Intervention(s)
Our experiment entails eight treatments in a 2*4 between-subject design, with one profit-margin factor, one price-competition factor, and one demand-switch factor.
Intervention (Hidden)
Our experiment entails eight treatments in a 2*4 between-subject design, with one profit-margin factor (High-Margin (HM) versus Low-Margin (LM)), one price-competition factor (Without Price competition (NoPC) versus With Price Competition (YesPC)), and one demand-switch factor (Without Demand Switch (NoDS) versus With Demand Switch (YesDS)). For the NoPC treatments, the retail price is exogenously given. In the YesPC treatments, the retail price is a strategic choice for subjects. For the NoDS treatments, all unmet demand due to stockouts from one subject will not be switched to the other. By contrast, in the YesDS treatments, the excessive demand from one subject is fully switched to the other.
Intervention Start Date
2021-09-29
Intervention End Date
2021-10-07

Primary Outcomes

Primary Outcomes (end points)
Pricing, Order Quantity
Primary Outcomes (explanation)

Secondary Outcomes

Secondary Outcomes (end points)
Profit
Secondary Outcomes (explanation)
Profit equals sales revenue minus order cost, where the sales revenue is equal to the retail price multiplied by the number of products sold, and the order cost is equal to the unit order cost multiplied by the number of units ordered.

Experimental Design

Experimental Design
We use a 2*4 design. On one dimension, we vary the profit margin, a high profit margin and a low profit margin. On the other dimension, we implement four different market conditions: no competition (NoPC-NoDS), inventory competition only (NoPC-YesDS), price competition only (YesPC-NoDS) and simultaneous price and inventory competition (YesPC-YesDS). In total, we have eight different treatments. We can further aggregate the High/Low-margin NoPC-NoDS and the High/Low-margin NoPC-YesDS treatments when discussing situations where participants take the selling price as given (NoPC treatments). The YesPC treaments includes the High/Low-margin YesPC-NoDS and the High/Low-margin YesPC-YesDS treatments. In addition, YesDS and NoDS represent four treatments each with and without inventory competition, respectively.
Experimental Design Details
In our game, we consider a market with two subjects. For a total of eight treatments, we set the maximum selling price r = 12.0 for all treatments and vary the profit margin through unit wholesale cost: for the HM condition, we set c = 3.0 with a c/r ratio of 25%, and for the LM condition we set c = 9.0 with a c/r ratio of 75%.
Two demand levels are set to d_L=50 and d_H=100. How we assign different demand levels to subjects depends on whether two subjects can compete in prices. In NoPC treatments, two subjects choose order quantities only and are randomly assigned to either the low- or high-demand level. The order quantity has to be an integer from 0 to 150, and any unsold products are discarded at the end of each round. The selling price is exogenously fixed at 12.0 tokens.
In the YesPC treatments, demand is price dependent. Subjects submit both quantity and price decisions simultaneously. A subject who sets a lower price is considered more competitive in the market and therefore, he should obtain a larger market share and face the high demand while the other subject obtains the low demand. In the event where two subjects select the same price, both have an equal probability of 50% of being allocated with the high demand. The selling price chosen by subjects could range from 3.0 experimental tokens to 12.0 tokens (i.e., p ∈ {3.0,3.1,3.2, ⋯,12.0}) for the HM condition and from 9.0 tokens to 12.0 tokens (i.e., p ∈ {9.0,9.1,9.2, ⋯,12.0}) for the LM condition. Similarly, the order quantity has to be an integer from 0 to 150, and any unsold products were discarded at the end of each round.
The way we model inventory competition is through manipulating unmet demand in the market. If a participant orders too little inventory comparing to their demand, unsatisfied demand arises. The unmet demand can be reallocated to the other participant under YesDS condition whereas it goes to waste under NoDS condition.
Randomization Method
Randomization done in office by a computer.
Randomization Unit
Randomization for experiment sessions, Random matching between subjects in the same treatment
Was the treatment clustered?
Yes

Experiment Characteristics

Sample size: planned number of clusters
A total of 320 subjects. 20 subjects in each session of each treatment.
Sample size: planned number of observations
Total 16000 sets of observations. 2000 sets of observations per treatment.
Sample size (or number of clusters) by treatment arms
40 subjects in High-margin NoPC-NoDS treatment, 40 subjects in Low-margin NoPC-NoDS treatment, 40 subjects in High-margin NoPC-YesDS treatment, 40 subjects in Low-margin NoPC-YesDS treatment, 40 subjects in High-margin YesPC-NoDS treatment, 40 subjects in Low-margin YesPC-NoDS treatment, 40 subjects in High-margin YesPC-YesDS treatment, 40 subjects in Low-margin YesPC-YesDS treatment.
Minimum detectable effect size for main outcomes (accounting for sample design and clustering)
Supporting Documents and Materials

Documents

Document Name
Research Ethics Checklist
Document Type
irb_protocol
Document Description
This document represents the Research Ethics Checklist that has been submitted to the Institutional Review Boards Head at the School of Management, Harbin Institute of Technology, prior to the commencement of the experiment.
File
Research Ethics Checklist

MD5: f2ac0dcb65dfe68b3ce52e4c29a7c871

SHA1: 83b3cf87847b6ed7f9e975ed3b8223f068648629

Uploaded At: March 15, 2023

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IRB

Institutional Review Boards (IRBs)

IRB Name
INSTITUTIONAL REVIEW BOARD Head, School of Management, Harbin Institute of Technology
IRB Approval Date
2021-09-12
IRB Approval Number
N/A
Analysis Plan

Analysis Plan Documents

Post-Trial

Post Trial Information

Study Withdrawal

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Intervention

Is the intervention completed?
Yes
Intervention Completion Date
October 07, 2021, 12:00 +00:00
Data Collection Complete
Yes
Data Collection Completion Date
October 07, 2021, 12:00 +00:00
Final Sample Size: Number of Clusters (Unit of Randomization)
320 subjects
Was attrition correlated with treatment status?
Yes
Final Sample Size: Total Number of Observations
16000 sets of observations
Final Sample Size (or Number of Clusters) by Treatment Arms
40 subjects in High-margin NoPC-NoDS treatment, 40 subjects in Low-margin NoPC-NoDS treatment, 40 subjects in High-margin NoPC-YesDS treatment, 40 subjects in Low-margin NoPC-YesDS treatment, 40 subjects in High-margin YesPC-NoDS treatment, 40 subjects in Low-margin YesPC-NoDS treatment, 40 subjects in High-margin YesPC-YesDS treatment, 40 subjects in Low-margin YesPC-YesDS treatment.
Data Publication

Data Publication

Is public data available?
No

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Program Files

Program Files
No
Reports, Papers & Other Materials

Relevant Paper(s)

Reports & Other Materials