Game theory in the case of a geopolitical operation between two persons

TL;DR

This paper analyzes a two-agent geopolitical interaction using game theory, examining different move orders, strategies, and equilibria to understand strategic decision-making in collaborative yet competitive scenarios.

Contribution

It introduces a game-theoretic framework for modeling two-agent geopolitical operations, including analysis of move order effects and equilibrium strategies.

Findings

Optimal strategies identified for each move order

Nash equilibria determined in all scenarios

Insights into strategic collaboration and competition

Abstract

This article explores the interaction of two agents during a geopolitical operation. Collaborative work is considered, rather than being done alone. However, each agent has the goal of maximizing personal net profit. We will have 3 different situations depending on the order of the players moves, in each of which we will present the game in both expanded and normal form. In each of them we find optimal strategies for both players and possible Nash equilibrium.