Game-Theoretic Model Verification & Analysis

Project Title:
Help Build and Compare Strategic Game-Theoretic Models

Project Description:
I'm working on a research project in applied game theory, focused on tipping behavior in online delivery platforms.
The project models three game variants:
Pre-tip only: Both customers tip before service
Pre + Post: One customer tips pre-service, the other post-service
Post-tip only: Both tip after service
I’ve already developed the full logic and strategic flow for each variant, including customer and driver behavior, sequential moves, and payoffs.
I’m looking for help with:
Verifying and structuring the game models (sequential + simultaneous)
Writing or checking payoff tables and Nash conditions
Analyzing equilibrium stability across stages
Implementing symbolic or numerical comparison across cases
Deliverables:
Clean payoff tables (in LaTeX or structured markdown)
Equilibrium checks and conditions written clearly
Comparative analysis across stages (optional, if skilled)
What I'm Looking For:
Strong background in game theory or economics
Ability to work with symbolic models (not just code)
Experience with LaTeX or clean model presentation
Familiarity with sequential games, SPNE, or behavioral game theory