From Disequilibrium Markets to Equilibrium

Christian Lax; Torsten Trimborn

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From Disequilibrium Markets to Equilibrium

Christian Lax, Torsten Trimborn

General Economics · Submitted 20 Dec 2019

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Furthermore, we analyze the stability of the reduced equilibrium model and discuss the economic implications.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,750 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.05 · human participants 0.02 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.11 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

The modeling of financial markets as disequilibrium models by ordinary differential equations has become a popular modeling tool. One famous example of such a model is the Beja-Goldman model(The Journal of Finance, 1980) which we consider in this paper. We study the passage from disequilibrium dynamics to equilibrium. Mathematically, this limit corresponds to an asymptotic limit also known as a Tikhonov-Fenichel reduction. Furthermore, we analyze the stability of the reduced equilibrium model and discuss the economic implications. We conduct several numerical examples to visualize and support our analysis.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The modeling of financial markets as disequilibrium models by ordinary differential equations has become a popular modeling tool.	background 1.00	0.04	0.03	asserted 1.00
s1	One famous example of such a model is the Beja-Goldman model(The Journal of Finance, 1980) which we consider in this paper.	background 0.79	0.11	0.02	asserted 1.00
s2	We study the passage from disequilibrium dynamics to equilibrium.	contribution 1.00	0.86	0.09	asserted 0.81
s3	Mathematically, this limit corresponds to an asymptotic limit also known as a Tikhonov-Fenichel reduction.	method 0.70	0.23	0.11	asserted 1.00
s4	Furthermore, we analyze the stability of the reduced equilibrium model and discuss the economic implications.	contribution 0.97	0.92	0.16	asserted 0.94
s5	We conduct several numerical examples to visualize and support our analysis.	method 0.88	0.95	0.03	asserted 0.99

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 0.87.

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arXiv listing abstract v1

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

The modeling of financial markets as disequilibrium models by ordinary differential equations has become a popular modeling tool. One famous example of such a model is the Beja-Goldman model(The Journal of Finance, 1980) which we consider in this paper. We study the passage from disequilibrium dynamics to equilibrium. Mathematically, this limit corresponds to an asymptotic limit also known as a Tikhonov-Fenichel reduction. Furthermore, we analyze the stability of the reduced equilibrium model and discuss the economic implications. We conduct several numerical examples to visualize and support our analysis.

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1 arXiv paper cite this in 1 sentence

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it

Cites it as background 1 paper

For detailed discussion of the Beja and Goldman model we refer to the original paper [ref] and recent publications by Trimborn et al. [ref] .

Robust Mathematical Formulation and Probabilistic Description of Agent-Based Computational Economic Market Models · Mathematical Perspective on ABCEM Models · 0.96

What it cites

Cites as background 1 paper

This theory for dynamical systems has been mainly applied to chemical reaction kinetics [ref] .

Singular perturbations and scaling · Introduction · 0.86

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