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Measuring Negotiation Traits with Collaborative Choice Data: A Two-Stage Latent Variable Model

Abstract

Consider a collaborative decision-making setting in which team members with different reward structures need to make a joint decision. Repeated collaborative decisions can reflect individual differences in team members' negotiation ability. However, extracting such information is challenging because each observed response arises from a collaborative process involving multiple participants and their reward structures. In this paper, we propose a two-stage probabilistic measurement model for structured collaborative choice tasks. In the first stage, known member-specific rewards and latent participant negotiation traits jointly determine team-option utilities, from which a latent team choice is generated. In the second stage, individual responses are modeled conditional on the latent team choice, with possible deviations that depend on participants' own rewards. Participant-level covariates can also be incorporated through a structural model. A simulation study shows satisfactory recovery of the participant traits and model parameters across different sample sizes and item sizes. An application to data from simulated collaborative negotiation tasks shows choice prediction accuracy well above the random-choice baseline and meaningful associations between the estimated traits and external criterion variables. The proposed framework provides a psychometric approach to measuring participant-level negotiation traits with collaborative choice data.

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BibTeX
@misc{zhang2026measuring,
  title = {{Measuring Negotiation Traits with Collaborative Choice Data: A Two-Stage Latent Variable Model}},
  author = {Tongxin Zhang and Yunxiao Chen and Jiangang Hao and Emily Kerzabi and Patrick Kyllonen and Irini Moustaki and Tao Xin},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.07630},
  eprint = {2610.07630},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.07630},
}
RIS
TY  - UNPB
TI  - Measuring Negotiation Traits with Collaborative Choice Data: A Two-Stage Latent Variable Model
AU  - Tongxin Zhang
AU  - Yunxiao Chen
AU  - Jiangang Hao
AU  - Emily Kerzabi
AU  - Patrick Kyllonen
AU  - Irini Moustaki
AU  - Tao Xin
PY  - 2026
DA  - 2026/10/06
PB  - arXiv
DO  - 10.48550/arxiv.2610.07630
UR  - https://arxiv.org/abs/2610.07630
AB  - Consider a collaborative decision-making setting in which team members with different reward structures need to make a joint decision. Repeated collaborative decisions can reflect individual differences in team members' negotiation ability. However, extracting such information is challenging because each observed response arises from a collaborative process involving multiple participants and their reward structures. In this paper, we propose a two-stage probabilistic measurement model for structured collaborative choice tasks. In the first stage, known member-specific rewards and latent participant negotiation traits jointly determine team-option utilities, from which a latent team choice is generated. In the second stage, individual responses are modeled conditional on the latent team choice, with possible deviations that depend on participants' own rewards. Participant-level covariates can also be incorporated through a structural model. A simulation study shows satisfactory recovery of the participant traits and model parameters across different sample sizes and item sizes. An application to data from simulated collaborative negotiation tasks shows choice prediction accuracy well above the random-choice baseline and meaningful associations between the estimated traits and external criterion variables. The proposed framework provides a psychometric approach to measuring participant-level negotiation traits with collaborative choice data.
ER  -