Development and integration of Lemke’s algorithm package

Lemke's algorithm is a method for solving Linear Complementarity Problems (LCPs). Computing equilibria for two-player games can be reduced to solving such problems. The Gambit library already has a C++ implementation of Lemke's algorithm, but the goal of this project is to improve and integrate Bernhard von Stengel's Lemke package written in Python. The current package works primarily as a standalone CLI tool, with algorithm logic, file I/O, and console output all tightly coupled. This project will transform it into a dual-purpose package – usable both from the command line and as an importable Python library that Gambit can directly call.