@@ -49,6 +49,8 @@ The following table summarises our ideas, and includes links to detailed descrip
4949| [ 6] ( #idea-6-development-and-integration-of-lemkes-algorithm-package ) | Development and integration of Lemke's algorithm package | Medium/Hard | Mathematical optimization; interoperability | Low |
5050| [ 7] ( #idea-7-new-algorithms-for-finding-nash-equilibria ) | New algorithms for finding Nash equilibria | Medium/Hard | Nash equilibrium, algorithms, mathematical optimization | High |
5151| [ 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 |
52+ | [ 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 |
53+
5254
5355### Idea 1: "Updating the Gambit GUI"
5456
@@ -353,3 +355,54 @@ documentation and tests.
353355#### Difficulty rating (easy/medium/hard)
354356
355357Easy.
358+
359+
360+ ### Idea 9: "Econometric estimation of behaviour in games"
361+
362+ #### Description
363+
364+ An important use case of Gambit over the years has been to support computations involving statistical or econometric estimation
365+ in games. This is especially relevant for research in human-participant experiments in game theory.
366+ In particular, Gambit's implementation of computation and estimation of
367+ [ quantal response equilibrium] ( https://gambitproject.readthedocs.io/en/latest/tutorials/advanced_tutorials/quantal_response.html ) is the
368+ de-facto reference implementation.
369+
370+ However, this implementation is not as easily accessible to users, or integrable into reproducible computational workflows,
371+ as it could be.
372+
373+ In this project, a student would work on improving our support for econometric estimation. Depending on interests and
374+ background, this could take a number of forms:
375+ - Extending our existing simple tutorials, and replicating the estimations of quantal response equilibria in a variety of published papers
376+ - Developing a test suite for QRE estimation
377+ - Developing higher-level functions for estimation of payoff/game parameters
378+ - Extending Gambit with other statistical and econometric methods used in experimental game theory, such as estimation of
379+ cognitive hierarchy, level-k, and/or models such as Experience-Weighted Attraction.
380+
381+ #### Expected outcomes
382+
383+ Depending on the specific direction chosen, the expected outcome would be the integration of improved tutorials, documentations,
384+ and test/benchmarking suites into Gambit as appropriate. This project could also be suitable for writing a technical or scientific
385+ paper suitable for submission to a peer-reviewed journal or conference.
386+
387+ #### Skills required
388+
389+ This project does require some basic familiarity with the relevant econometric and statistical methods and how they are
390+ applied in the analysis of data from experiments in the literature. This will not be a project suitable for someone without
391+ at least an initial familiarity with this literature or directly-relevant coursework.
392+
393+ #### Possible mentors
394+
395+ [ Ted Turocy] ( mailto:ted.turocy@gmail.com )
396+
397+ #### Expected size of project (90, 175, or 350 hours)
398+
399+ The size of the project would depend on the level of ambition. Simply helping with tutorials and documentation might be a
400+ 90-hour project, while more extensive work on testing and developing general estimation code could be 175 or 350
401+ depending on the agreed scope.
402+
403+ #### Difficulty rating (easy/medium/hard)
404+
405+ Medium/Hard.
406+
407+
408+
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