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Added econometric estimation GSoC 2026 project
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@@ -49,6 +49,8 @@ The following table summarises our ideas, and includes links to detailed descrip
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| [6](#idea-6-development-and-integration-of-lemkes-algorithm-package) | Development and integration of Lemke's algorithm package | Medium/Hard | Mathematical optimization; interoperability | Low |
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| [7](#idea-7-new-algorithms-for-finding-nash-equilibria) | New algorithms for finding Nash equilibria | Medium/Hard | Nash equilibrium, algorithms, mathematical optimization | High |
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| [8](#idea-8-extensive-form-game-efg-exporter-for-deepminds-openspiel) | Extensive-form Game .efg exporter for DeepMind's OpenSpiel | Easy | Extensive-form-game; normal-form game; .efg format; .nfg format; OpenSpiel | Medium |
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| [9](#idea-9-econometric-estimation-of-behaviour-in-games) | Econometric estimation of behaviour in games | Medium/Hard | Econometrics; quantal response; cognitive hierarchy; experience-weighted attraction | Low |
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### Idea 1: "Updating the Gambit GUI"
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#### Difficulty rating (easy/medium/hard)
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Easy.
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### Idea 9: "Econometric estimation of behaviour in games"
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#### Description
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An important use case of Gambit over the years has been to support computations involving statistical or econometric estimation
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in games. This is especially relevant for research in human-participant experiments in game theory.
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In particular, Gambit's implementation of computation and estimation of
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[quantal response equilibrium](https://gambitproject.readthedocs.io/en/latest/tutorials/advanced_tutorials/quantal_response.html) is the
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de-facto reference implementation.
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However, this implementation is not as easily accessible to users, or integrable into reproducible computational workflows,
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as it could be.
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In this project, a student would work on improving our support for econometric estimation. Depending on interests and
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background, this could take a number of forms:
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- Extending our existing simple tutorials, and replicating the estimations of quantal response equilibria in a variety of published papers
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- Developing a test suite for QRE estimation
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- Developing higher-level functions for estimation of payoff/game parameters
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- Extending Gambit with other statistical and econometric methods used in experimental game theory, such as estimation of
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cognitive hierarchy, level-k, and/or models such as Experience-Weighted Attraction.
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#### Expected outcomes
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Depending on the specific direction chosen, the expected outcome would be the integration of improved tutorials, documentations,
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and test/benchmarking suites into Gambit as appropriate. This project could also be suitable for writing a technical or scientific
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paper suitable for submission to a peer-reviewed journal or conference.
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#### Skills required
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This project does require some basic familiarity with the relevant econometric and statistical methods and how they are
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applied in the analysis of data from experiments in the literature. This will not be a project suitable for someone without
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at least an initial familiarity with this literature or directly-relevant coursework.
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#### Possible mentors
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[Ted Turocy](mailto:ted.turocy@gmail.com)
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#### Expected size of project (90, 175, or 350 hours)
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The size of the project would depend on the level of ambition. Simply helping with tutorials and documentation might be a
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90-hour project, while more extensive work on testing and developing general estimation code could be 175 or 350
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depending on the agreed scope.
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#### Difficulty rating (easy/medium/hard)
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Medium/Hard.
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