Study of Performance from Hierarchical Decision Modeling in IVAs Within a Greedy Context

This study examines decision-making in intelligent virtual agents (IVAs) and formalizes the distinction between tactical decisions (individual actions) and strategic decisions (composed of sequences of tactical actions) using a mathematical model based on set theory and the Bellman equation. Although the equation itself is not modified, the analysis reveals that the discount factor (γ) influences the type of decision: low values favor tactical decisions, while high values favor strategic ones. The model was implemented and validated in a proof-of-concept simulated environment, namely the Snake Coin Change Problem (SCCP), using a Deep Q-Network (DQN) architecture, showing significant differences between agents with different decision profiles. These findings suggest that adjusting γ can serve as a useful mechanism to regulate both tactical and strategic decision-making processes in IVAs, thus offering a conceptual basis that could facilitate the design of more intelligent and adaptive agents in domains such as video games, and potentially in robotics and artificial intelligence as future research directions.

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Publication Details

Journal
Mathematical and Computational Applications
Published
2026-01-07
DOI
https://doi.org/10.3390/mca31010008
Primary Topic
Artificial Intelligence in Games
Type
article
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article

Study of Performance from Hierarchical Decision Modeling in IVAs Within a Greedy Context

Nohra Violeta Gallardo Rivas, Guadalupe Castilla Valdez, Ana Guadalupe Vélez-Chong, Juan Javier González Barbosa et al.
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article

Study of Performance from Hierarchical Decision Modeling in IVAs Within a Greedy Context

Nohra Violeta Gallardo Rivas, Guadalupe Castilla Valdez, Ana Guadalupe Vélez-Chong, Juan Javier González Barbosa, Nelson Rangel-Valdez, Francisco Federico Meza-Barrón, María Lucila Morales-Rodríguez, Claudia Guadalupe Gómez-Santillán
article en

Abstract

This study examines decision-making in intelligent virtual agents (IVAs) and formalizes the distinction between tactical decisions (individual actions) and strategic decisions (composed of sequences of tactical actions) using a mathematical model based on set theory and the Bellman equation. Although the equation itself is not modified, the analysis reveals that the discount factor (γ) influences the type of decision: low values favor tactical decisions, while high values favor strategic ones. The model was implemented and validated in a proof-of-concept simulated environment, namely the Snake Coin Change Problem (SCCP), using a Deep Q-Network (DQN) architecture, showing significant differences between agents with different decision profiles. These findings suggest that adjusting γ can serve as a useful mechanism to regulate both tactical and strategic decision-making processes in IVAs, thus offering a conceptual basis that could facilitate the design of more intelligent and adaptive agents in domains such as video games, and potentially in robotics and artificial intelligence as future research directions.

Mathematical and Computational ApplicationsVol. 31(1)
Instituto Tecnológico de Ciudad Madero (MX)
Peace, Justice and strong institutions
Openalex Percentile: Top 95%
Artificial Intelligence in Games
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