Statistical Inference for Fisher Market Equilibrium

Authors: Luofeng Liao, Yuan Gao, Christian Kroer

ICLR 2023 | Conference PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Experimental We conduct experiments to validate the theoretical findings, namely, the convergence of NSWγ to NSW (Theorem 9) and CLT (Eq. (2)). All figures can be found in Appendix O.
Researcher Affiliation Academia Luofeng Liao, Yuan Gao, Christian Kroer Department of Industrial Engineering and Operations Research Columbia University
Pseudocode No The paper does not contain structured pseudocode or algorithm blocks.
Open Source Code No The paper does not provide concrete access to source code for the methodology described.
Open Datasets No First, we generate an infinite-dimensional market M1 of n = 50 buyers each having a linear valuation vi(θ) = aiθ + ci on Θ = [0, 1], with randomly generated ai and ci such that vi(θ) 0 on [0, 1]. Their budgets bi are also randomly generated. ... Then, following Section 2.2, for the j-th (j [k]) sampled market of size t, we randomly sample {θt,τ j }τ [t] uniformly and independently from [0, 1] and obtain markets with n buyers and t items.
Dataset Splits No The paper describes how synthetic data is generated and sampled for experiments (e.g., 't = 100, 200, . . . , 5000 and k = 10'), but does not specify traditional train/validation/test dataset splits as it's a simulation rather than an ML-style dataset evaluation.
Hardware Specification No The paper does not provide specific hardware details used for running its experiments.
Software Dependencies No The paper does not provide specific ancillary software details with version numbers.
Experiment Setup Yes First, we generate an infinite-dimensional market M1 of n = 50 buyers each having a linear valuation vi(θ) = aiθ + ci on Θ = [0, 1], with randomly generated ai and ci such that vi(θ) 0 on [0, 1]. Their budgets bi are also randomly generated. ... We take t = 100, 200, . . . , 5000 and k = 10.