The impact of competition for social status in a game with strategic complementarities and network formation

Last registered on May 17, 2023

Pre-Trial

Trial Information

General Information

Title
The impact of competition for social status in a game with strategic complementarities and network formation
RCT ID
AEARCTR-0011399
Initial registration date
May 12, 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
May 17, 2023, 2:47 PM EDT

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

Locations

Region

Primary Investigator

Affiliation
Xi'an Jiaotong-Liverpool University

Other Primary Investigator(s)

PI Affiliation
Duke Kunshan University

Additional Trial Information

Status
On going
Start date
2023-03-15
End date
2023-05-31
Secondary IDs
Prior work
This trial does not extend or rely on any prior RCTs.
Abstract
In the experiment, we study how competition for social status affects individual’s effort level and linking decisions within a social network. We assume homogeneous agents with general linear-quadratic payoff functions where their effort levels exhibit strategic complementarity and positive externality. With costly effort and linking decisions, we introduce two settings on status competition, i.e., monetary status benefits and information on relative position within the group in terms of payoffs, to see whether status competition can increase collaborative effort provision, therefore enhance efficiency.
External Link(s)

Registration Citation

Citation
Horvath, Gergely and Mofei Jia. 2023. "The impact of competition for social status in a game with strategic complementarities and network formation." AEA RCT Registry. May 17. https://doi.org/10.1257/rct.11399-1.0
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Experimental Details

Interventions

Intervention(s)
Our experiment employs a 2*2 between-subjects design by manipulating the settings of status competition. The two settings considered here are: 1. Individuals receive monetary status benefits when receiving links from others (van Leeuwen et al., 2020); 2. Individuals are provided information on relative position within the group in terms of payoffs (Charness et al., 2014). Accordingly, we test the impact of each setting of status competition on effort provision and efficiency compared with the baseline, and then also investigate the impact of the interaction term of these two settings. In the experiment, we keep the group size N=5 and fix the parameters used in the general linear-quadratic payoff function.
Intervention Start Date
2023-03-15
Intervention End Date
2023-05-31

Primary Outcomes

Primary Outcomes (end points)
Effort levels chosen by individuals,
Number of links formed by individuals,
Payoffs of individuals.

Primary Outcomes (explanation)

Secondary Outcomes

Secondary Outcomes (end points)
Secondary Outcomes (explanation)

Experimental Design

Experimental Design
In the experiment, individuals interact with each other within a group of 5 persons. The experiment lasts for 40 rounds and partner matching is used to keep group members unchanged throughout the whole experiment.

In each round, each individual needs to choose an effort level and initiate links to some or all of the other 4 group members to construct their network neighbors. We assume links are formed unilaterally and costly. Moreover, individuals have a linear-quadratic utility function (Hiller, 2017). The payoff function is shown below:

Pi_i=a*x_i-b/2*x_i^2+lambda*x_i \sum(x_j)-k*n^out_i

where a, b and lambda are parameters, k is the cost of initiating a link, x_i is the effort choice of i, n^out_i is the number of links initiated by i and the summation represents the total effort choices over the neighbors of i. Accordingly, individual’s payoff is positively affected by total effort chosen by his/her network neighbors.

At the end of each round, participants receive feedback on their choices, payoffs, and network formed in the group, as well as the effort levels of other group members. For a typical treatment, additional information on status is provided in the feedback as well. The final earning of the experiment for each individual is the sum of his/her payoffs over all the 40 rounds.

In the treatments, we introduce two types of status competition: 1. individuals receive monetary status benefits when receiving links from other group members, i.e., adding an additional item (m*n^in_i) on the right-hand side of individual’s payoff function Pi_i, denoted by Treatment S(tatus); 2. individuals are provided information on relative position within the group in terms of payoffs in the feedback at the end of each round, denoted by Treatment R(anking). Treatment I(teraction) investigates the combined impact of the interaction and the treatment with no status manipulation is denoted by Baseline.

We study the impact of different ways of status competition on individual’s effort and linking choices, payoffs, efficiency, and network structure formed. Moreover, we are going to investigate the combined effect of these two settings of status competition.

In the experiment, we set a=10, b=4, lambda=0.4, k=3.9, and m=6. At the end of the experiment, participants fill out a short questionnaire about their demographics, cognitive reflection test, and risk-preferences.

The experiment is conducted in the Experimental Economics Lab at International Business School Suzhou, Xi’an jiaotong-Liverpool University with participants recruited on the Online Recruitment System for Economic Experiments (ORSEE) using the o-Tree software.

References
Charness, G., Masclet, D., & Villeval, M. C. (2014). The dark side of competition for status. Management Science, 60(1), 38-55.
Hiller, T. (2017). Peer effects in endogenous networks. Games and Economic Behavior, 105, 349-367.
van Leeuwen, B., Offerman, T., & Schram, A. (2020). Competition for status creates superstars: An experiment on public good provision and network formation. Journal of the European Economic Association, 18(2), 666-707.

Experimental Design Details
Randomization Method
By oTree program within each session.
Randomization Unit
Group level
Was the treatment clustered?
No

Experiment Characteristics

Sample size: planned number of clusters
Number of groups per treatment:
Baseline: 10
Treatment S(tatus): 10
Treatment R(anking): 10
Treatment I(nteraction):10
Sample size: planned number of observations
Number of participants per group: 5 people Participants in total: 5*10*4 = 200
Sample size (or number of clusters) by treatment arms
10 groups per treatment
Minimum detectable effect size for main outcomes (accounting for sample design and clustering)
Main outcome variables: standard deviation measured after running Baseline: Effort: 0.73; Number of neighbors: 0.77; Payoffs: 5.71. With 10 groups, we achieve a relative effect size of 1.36*standard deviation: Effort: 1.36*0.73=1.04; Number of neighbors: 1.36*0.77=1.04; Payoffs: 1.36*5.71=7.77.
IRB

Institutional Review Boards (IRBs)

IRB Name
Xi'an Jiaotong-Liverpool University Ethics Committee
IRB Approval Date
2023-02-23
IRB Approval Number
ER-IBSS-15882492620230221154238

Post-Trial

Post Trial Information

Study Withdrawal

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Intervention

Is the intervention completed?
No
Data Collection Complete
Data Publication

Data Publication

Is public data available?
No

Program Files

Program Files
Reports, Papers & Other Materials

Relevant Paper(s)

Reports & Other Materials