Runtime Evaluation of Procedural Content Generation in an Endless Runner Game Using Autonomous Agents
Pith reviewed 2026-05-10 15:20 UTC · model grok-4.3
The pith
Autonomous agents can evaluate and validate procedurally generated content in real time within an endless runner game.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
The central discovery is that by integrating terrain generation, object spawning with constraint mechanisms like Wave Function Collapse, and agent-based evaluation into one gameplay loop, problematic scenarios can be identified and reported at runtime, unifying what are usually separate offline processes.
What carries the argument
The pair of autonomous evaluation agents—an aerial scanner for geometric inspection and a ground-traversal agent for navigational validation—using ray casting, volumetric sweeps, and obstacle filtering to check the path ahead.
Load-bearing premise
The agents using ray casting, volumetric sweeps, and obstacle filtering will detect all problematic generated scenarios before the player encounters them.
What would settle it
A test run where the player encounters an unplayable or blocked section of generated terrain despite the agents having scanned ahead would falsify the claim that the evaluation pipeline reliably prevents bad content from reaching the player.
Figures
read the original abstract
Procedural Content Generation (PCG) enables game content to be created algorithmically without direct manual level-design effort, but it introduces a serious evaluation problem: generated content may become unbalanced, blocked, repetitive, or technically unsolvable. This paper presents Momentum, an endless-runner game that integrates runtime terrain generation, environment object spawning, and autonomous agent-based evaluation into a single gameplay loop. Ground tiles and environmental objects are generated dynamically as the player advances, object placement follows a constraint-driven mechanism inspired by Wave Function Collapse (WFC), and the runtime navigation surface is rebuilt asynchronously to remain consistent with the streamed environment. Two autonomous evaluation agents move ahead of the player and inspect the generated path: an aerial scanner that examines the corridor geometrically, and a ground-traversal agent that validates the same region from a navigational perspective. The evaluation pipeline combines ray casting, volumetric physics sweeps, obstacle-layer filtering, and structured crash reporting to identify problematic generated scenarios before they reach the player. The work demonstrates how generation and validation can be unified within the same runtime loop, rather than treating evaluation as a separate offline pass. Around this implementation, the paper formulates a measurable evaluation framework along the canonical PCG axes of playability, diversity, controllability, and runtime performance, derives a structural saturation bound on the spawner from its own placement constraints, and quantifies the per-segment scanning cost of the agents from first principles.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript presents Momentum, an endless-runner game that unifies procedural content generation (PCG) of terrain and objects with runtime evaluation using two autonomous agents: an aerial scanner employing ray casting and volumetric sweeps, and a ground-traversal agent performing navigation surface checks and obstacle filtering. The generation uses constraint-driven mechanisms inspired by Wave Function Collapse, with asynchronous navigation surface rebuilding. The paper claims this integration allows detection of problematic content (unbalanced, blocked, repetitive, unsolvable) before it reaches the player, and around the implementation formulates an evaluation framework on playability, diversity, controllability, and runtime performance, derives a structural saturation bound from the spawner's constraints, and quantifies per-segment scanning costs from first principles.
Significance. If the agents provide complete coverage of failure modes, this approach would represent a significant advance in runtime PCG validation for games, moving evaluation from offline to integrated runtime processes. The first-principles cost quantification and saturation bound offer measurable insights, though the absence of empirical validation limits the immediate impact. The work addresses a key challenge in PCG by attempting to ensure playability dynamically.
major comments (3)
- [§4 (Structural Saturation Bound)] §4 (Structural Saturation Bound): the bound is derived directly from the spawner's own placement constraints, rendering it partially self-referential and limiting its utility as an independent measure of generation capacity.
- [§5 (Evaluation Pipeline)] §5 (Evaluation Pipeline): the description of the aerial scanner and ground-traversal agents assumes complete detection of all problematic scenarios (blocked paths, unsolvable jumps, repetitive segments, balance issues) without providing a coverage argument, false-negative analysis, or results from exhaustive test cases to support this assumption.
- [§6 (Results and Evaluation Framework)] §6 (Results and Evaluation Framework): no quantitative results, error analysis, or performance benchmarks are reported for the agent-based evaluations or the overall system, despite the formulation of a measurable framework; this leaves the claims about runtime performance and the unification benefit unverified.
minor comments (2)
- The abstract and introduction could more clearly distinguish between the implemented system and the proposed evaluation framework.
- [Notation] Ensure consistent use of terms like 'saturation bound' and 'per-segment cost' across sections.
Simulated Author's Rebuttal
We thank the referee for their constructive and detailed feedback on the manuscript. We address each major comment point by point below, indicating the revisions we will make to strengthen the paper while remaining faithful to the presented work.
read point-by-point responses
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Referee: [§4 (Structural Saturation Bound)] the bound is derived directly from the spawner's own placement constraints, rendering it partially self-referential and limiting its utility as an independent measure of generation capacity.
Authors: We agree that the structural saturation bound is derived from the spawner's placement constraints and is therefore system-specific rather than a fully independent general metric. Its value lies in providing a theoretical upper limit on achievable diversity under the exact generation rules used, which helps characterize the capacity of this particular PCG approach. We will revise §4 to explicitly acknowledge the self-referential aspect, clarify the bound's intended role as a system-specific analysis, and discuss its limitations as an independent measure. revision: yes
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Referee: [§5 (Evaluation Pipeline)] the description of the aerial scanner and ground-traversal agents assumes complete detection of all problematic scenarios (blocked paths, unsolvable jumps, repetitive segments, balance issues) without providing a coverage argument, false-negative analysis, or results from exhaustive test cases to support this assumption.
Authors: The agents target specific, common failure modes via geometric ray casting, volumetric sweeps, navigation surface checks, and obstacle filtering. We do not claim exhaustive coverage of every conceivable scenario. We will revise §5 to add an explicit discussion of the failure modes addressed, a coverage argument based on the implemented checks, and an analysis of potential false negatives, while noting that comprehensive exhaustive testing is left for future work. revision: partial
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Referee: [§6 (Results and Evaluation Framework)] no quantitative results, error analysis, or performance benchmarks are reported for the agent-based evaluations or the overall system, despite the formulation of a measurable framework; this leaves the claims about runtime performance and the unification benefit unverified.
Authors: The manuscript centers on the design of the unified runtime loop, the formulation of the evaluation framework, and first-principles derivations of the saturation bound and scanning costs. The implementation serves to demonstrate feasibility rather than to supply full empirical benchmarks. We acknowledge that quantitative results would strengthen the claims and will incorporate performance measurements, runtime cost data, and basic error analysis from the agent pipeline in the revised manuscript. revision: yes
Circularity Check
Structural saturation bound reduces to spawner's own placement constraints by construction
specific steps
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self definitional
[Abstract]
"Around this implementation, the paper formulates a measurable evaluation framework along the canonical PCG axes of playability, diversity, controllability, and runtime performance, derives a structural saturation bound on the spawner from its own placement constraints, and quantifies the per-segment scanning cost of the agents from first principles."
The saturation bound is stated to be derived directly from the spawner's placement constraints; therefore the reported bound is a calculable consequence of those same constraints rather than an independent prediction or external validation of the evaluation pipeline.
full rationale
The paper's core demonstration of unifying PCG generation and agent-based validation inside a single runtime loop stands as an independent engineering contribution and does not reduce to its inputs. The only load-bearing step that exhibits self-reference is the derivation of the structural saturation bound, which the abstract explicitly ties to the spawner's placement constraints. No other equations, uniqueness theorems, or self-citations are shown to collapse the central claims. The per-segment cost quantification is presented as first-principles and does not trigger the circularity criteria. This yields a moderate score reflecting one localized self-definitional element without compromising the overall framework.
Axiom & Free-Parameter Ledger
axioms (2)
- domain assumption The underlying game engine supports consistent asynchronous rebuilding of the navigation surface in sync with streamed terrain.
- domain assumption Constraint-driven object placement (WFC-inspired) can be executed at runtime without violating real-time performance.
invented entities (2)
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Aerial scanner agent
no independent evidence
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Ground-traversal agent
no independent evidence
Reference graph
Works this paper leans on
-
[1]
What the Code of No Man’s Sky Says About Procedural Generation
A. McAloon, “What the Code of No Man’s Sky Says About Procedural Generation.” [Online]. Available: https://www.gamedeveloper.com/programming/what-the-code-of-i-no-man-s-sky-i-s ays-about-procedural-generation
-
[2]
Subverting Historical Cause and Effect: Generation of Mythic Biographies in Caves of Qud,
B. Bucklew and J. Grinblat, “Subverting Historical Cause and Effect: Generation of Mythic Biographies in Caves of Qud,” inProceedings of the 12th International Conference on the Foundations of Digital Games, Hyannis, MA, USA, 2017. [Online]. Available: https://www.pcgworkshop.com/archive/grinblat2017subverting.pdf
work page 2017
-
[3]
End-to-End Procedural Generation in Caves of Qud
——, “End-to-End Procedural Generation in Caves of Qud.” [Online]. Available: https://gdcvault.com/play/1026313/Math-for-Game-Developers-End
-
[4]
Adventures in Level Design: Generating Missions and Spaces for Action Adventure Games,
J. Dormans, “Adventures in Level Design: Generating Missions and Spaces for Action Adventure Games,” inProceedings of the PCGames Workshop, 2010. [Online]. Available: https://pcgworkshop.com/archive/dormans2010adventures.pdf
work page 2010
-
[5]
Debugging Grammars for Level Generation
G. Samaritaki, “Debugging Grammars for Level Generation.” [Online]. Available: https: //www.researchgate.net/publication/365644048 Debugging Grammars for Level Generation
-
[6]
Enhancing Wave Function Collapse Algorithm for Procedural Map Generation Problem
O. B¨ uy¨ uks ¸ar, D. Yıldız, and S. Demirci, “Enhancing Wave Function Collapse Algorithm for Procedural Map Generation Problem.” [Online]. Available: https: //dergipark.org.tr/en/download/article-file/3412583
-
[7]
WaveFunctionCollapse is constraint solving in the wild,
I. Karth and A. M. Smith, “WaveFunctionCollapse is constraint solving in the wild,” inProceedings of the 12th International Conference on the Foundations of Digital Games (FDG ’17), Hyannis, MA, USA, 2017
work page 2017
-
[8]
An Experiment in Automatic Game Design
J. Togelius and J. Schmidhuber, “An Experiment in Automatic Game Design.” [Online]. Available: http://julian.togelius.com/Togelius2008An.pdf
-
[9]
On the Evaluation of Procedural Level Generation Systems,
M. Cook, O. Withington, and L. Tokarchuk, “On the Evaluation of Procedural Level Generation Systems,” inProceedings of the 19th International Conference on the Foundations of Digital Games, Worcester, MA, USA, 2024. [Online]. Available: https://ar5iv.labs.arxiv.org/html/2404.18657v1
-
[10]
Danesh: Interactive Tools for Understanding Procedural Content Generators,
M. Cook, J. Gow, G. Smith, and S. Colton, “Danesh: Interactive Tools for Understanding Procedural Content Generators,”IEEE Transactions on Games, vol. 14, no. 3, 2022. [Online]. Available: https://mkremins.github.io/refs/Danesh.pdf
work page 2022
-
[11]
Unity Technologies, “C# Style Guide for Unity 6.” [Online]. Available: https: //unity.com/resources/c-sharp-style-guide-unity-6
-
[12]
Best Practices for Profiling Game Performance
——, “Best Practices for Profiling Game Performance.” [Online]. Available: https: //unity.com/how-to/best-practices-for-profiling-game-performance
-
[13]
Profiling in Unity 2021 LTS: What, When, and How,
——, “Profiling in Unity 2021 LTS: What, When, and How,” 2022. [Online]. Available: https://blog.unity.com/engine-platform/profiling-in-unity-2021-lts-what-when-and-how
work page 2021
-
[14]
——, “Mathf.Lerp.” [Online]. Available: https://docs.unity3d.com/ScriptReference/Mathf.Lerp. html
-
[15]
——, “Mathf.Clamp.” [Online]. Available: https://docs.unity3d.com/ScriptReference/Mathf.Cla mp.html
- [16]
- [17]
-
[18]
——, “Unity Documentation.” [Online]. Available: https://docs.unity3d.com/Manual/index.html
-
[19]
Adobe Systems Incorporated, “Portable Document Format,” 2008. [Online]. Available: https: //opensource.adobe.com/dc-acrobat-sdk-docs/standards/pdfstandards/pdf/PDF32000 2008.pdf
work page 2008
-
[20]
Evidence for Striatal Dopamine Release During a Video Game,
M. J. Koepp, R. N. Gunn, A. D. Lawrence, V. J. Cunningham, A. Dagher, T. Jones, D. J. Brooks, C. J. Bench, and P. M. Grasby, “Evidence for Striatal Dopamine Release During a Video Game,”Nature, vol. 393, no. 6682, pp. 266–268, 1998. [Online]. Available: https://www.nature.com/articles/30498
work page 1998
-
[21]
The Wave Function Collapse Algorithm Explained Very Clearly
R. Heaton, “The Wave Function Collapse Algorithm Explained Very Clearly.” [Online]. Available: https://robertheaton.com/2018/12/17/wavefunction-collapse-algorithm/
work page 2018
-
[22]
Wave Function Collapse, Explained
Boris, “Wave Function Collapse, Explained.” [Online]. Available: https://www.boristhebrave.co m/2020/04/13/wave-function-collapse-explained/
work page 2020
-
[23]
Unity Technologies, “Quaternion.Slerp.” [Online]. Available: https://docs.unity3d.com/ScriptRef erence/Quaternion.Slerp.html 25
discussion (0)
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