Team-Maxmin Equilibrium: Efficiency Bounds and Algorithms

Authors: Nicola Basilico, Andrea Celli, Giuseppe De Nittis, Nicola Gatti

AAAI 2017 | Conference PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Experimental Furthermore, we study a number of algorithms to find and/or approximate an equilibrium, discussing their theoretical guarantees and evaluating their performance by using a standard testbed of game instances.
Researcher Affiliation Academia Nicola Basilico University of Milan Via Comelico, 39/41 Milano, Italy nicola.basilico@unimi.it Andrea Celli, Giuseppe De Nittis, Nicola Gatti Politecnico di Milano Piazza Leonardo da Vinci, 32 Milano, Italy {andrea.celli, giuseppe.denittis, nicola.gatti}@polimi.it
Pseudocode Yes Algorithm 1 Support Enumeration and Algorithm 2 Iterated LP
Open Source Code No No statement about releasing the source code or a link to a code repository for the methodology described in the paper was found.
Open Datasets Yes Our experimental setting is based on instances of the Random Games class generated by GAMUT (Nudelman et al. 2004).
Dataset Splits No No specific dataset split information (e.g., percentages, sample counts, or citations to predefined splits) for training, validation, or testing was found. The paper mentions using '100 game instances for each combination of n and m'.
Hardware Specification Yes All the algorithms are executed on a UNIX computer with 2.33GHz CPU and 128 GB RAM.
Software Dependencies Yes Algorithms are implemented in Python 2.7.6, adopting GUROBI 6.5.0 (Gurobi Optimization 2015) for linear mathematical programs, AMPL 20160310 (Fourer, Gay, and Kernighan 1989) and BARON 14.4.0 (Tawarmalani and Sahinidis 2005; Sahinidis 2014) for global optimization programs.
Experiment Setup Yes We use 100 game instances for each combination of n and m where n P t3, 4, 5u and m is as follows: 5 to 40, step 5, n 3; 50 to 150, step 10, n 3; 5 to 50, step 5, n 4; 5 to 30, step 5, n 5. and We set a timeout of 60 minutes for the resolution of each instance.