Legal Hypergraphs

18 Pages Posted: 12 Jul 2023 Last revised: 2 Jan 2024

See all articles by Corinna Coupette

Corinna Coupette

Max Planck Institute for Informatics

Dirk Hartung

Bucerius Law School - Center for Legal Technology and Data Science; Stanford University - Stanford Codex Center

Daniel Martin Katz

Illinois Tech - Chicago Kent College of Law; Bucerius Center for Legal Technology & Data Science; Stanford CodeX - The Center for Legal Informatics; 273 Ventures

Date Written: July 5, 2023

Abstract

Complexity science provides a powerful framework for understanding physical, biological, and social systems, and network analysis is one of its principal tools. Since many complex systems exhibit multilateral interactions that change over time, in recent years, network scientists have become increasingly interested in modeling and measuring dynamic networks featuring higher-order relations. At the same time, while network analysis has been more widely adopted to investigate the structure and evolution of law as a complex system, the utility of dynamic higher-order networks in the legal domain has remained largely unexplored. Setting out to change this, we introduce temporal hypergraphs as a powerful tool for studying legal network data. Temporal hypergraphs generalize static graphs by (i) allowing any number of nodes to participate in an edge, and (ii) permitting nodes or edges to be added, modified, or deleted. We describe models and methods to explore legal hypergraphs that evolve over time and elucidate their benefits through case studies on legal citation and collaboration networks that change over a period of more than 70 years. Our work demonstrates the potential of dynamic higher-order networks for studying complex legal systems, and it facilitates further advances in legal network analysis.

Keywords: legal networks, hypergraphs, higher-order networks, temporal networks, complex systems, legal complexity, complexity, graph theory, statistics

JEL Classification: B16, C00, C19, K49, L88, G18, C54, C63, D72, D73

Suggested Citation

Coupette, Corinna and Hartung, Dirk and Katz, Daniel Martin, Legal Hypergraphs (July 5, 2023). Available at SSRN: https://ssrn.com/abstract=4500877 or http://dx.doi.org/10.2139/ssrn.4500877

Corinna Coupette

Max Planck Institute for Informatics ( email )

Germany

Dirk Hartung

Bucerius Law School - Center for Legal Technology and Data Science ( email )

Jungiusstr. 6
Hamburg, 20355
Germany

Stanford University - Stanford Codex Center ( email )

559 Nathan Abbott Way
Stanford, CA 94305-8610
United States

HOME PAGE: http://https://law.stanford.edu/directory/dirk-hartung/

Daniel Martin Katz (Contact Author)

Illinois Tech - Chicago Kent College of Law ( email )

565 W. Adams St.
Chicago, IL 60661-3691
United States

HOME PAGE: http://www.danielmartinkatz.com/

Bucerius Center for Legal Technology & Data Science ( email )

Jungiusstr. 6
Hamburg, 20355
Germany

HOME PAGE: http://legaltechcenter.de/

Stanford CodeX - The Center for Legal Informatics ( email )

559 Nathan Abbott Way
Stanford, CA 94305-8610
United States

HOME PAGE: http://law.stanford.edu/directory/daniel-katz/

273 Ventures ( email )

HOME PAGE: http://273ventures.com

Do you have a job opening that you would like to promote on SSRN?

Paper statistics

Downloads
487
Abstract Views
1,166
Rank
110,461
PlumX Metrics