Nash Equilibrium

About this model

This diagram represents a strategic decision-making model based on the Nash Equilibrium concept within the context of Multiplayer Online Battle Arena (MOBA) games, particularly focusing on the early-game strategies of late-game characters. It conceptualizes the choice between two primary actions: fighting or farming, as faced by characters who gain strength in the later stages of a game. The diagram incorporates two players, each with the ability to make a decision that influences their and their opponent's strategy, reflecting the essence of Nash Equilibrium where the optimal outcome of a game is where no player has the incentive to deviate from their chosen strategy, given the opponent's choice.

Through the use of gates, pools, and state connections, this model dynamically illustrates how players' decisions to either fight or farm lead to changes in resource allocation and potentially influence the overall strategy and outcome of the game. The presence of resource and state connections between the decision gates (marked as "Choice") and the outcomes ("Fight" or "Farm") allows for a visualization of the consequences of each decision, showing how commitment to farming can increase efficiency and prolong the game unless an opposing player's aggressive strategy forces a shift in tactics. This mechanism serves as an exemplification of strategic adaptation in competitive environments, showcasing the interplay between opposing strategies and their alignment with Nash Equilibrium principles.

“Nash Equilibrium” is a public Machinations diagram by Anıl Akhan, shared in the Machinations Community.

You can open the original diagram in the Machinations app, press Play to watch how resources move through it, and change its values to see how the system responds. Machinations is a visual tool for designing, simulating and balancing game economies and other systems, where resources flow through sources, pools, drains, converters and gates.