Ailed: A Psyche-Driven Chess Engine with Dynamic Emotional Modulation

Diego Armando Resendez Prado

Factor	Symbol	Domain	Description
Material	$f_{1}(b)$	$\mathbb{Z}$	$\sum_{p}v_{p}n_{p}^{\text{own}}-\sum_{p}v_{p}n_{p}^{\text{opp}}$ , $\mathbf{v}=(1,3,3,5,9)$
King safety	$f_{2}(b)$	$\mathbb{Z}$	Pawn shield minus enemy attackers in king’s $3\!\times\!3$ area
Mobility	$f_{3}(b)$	$\mathbb{Z}$	$\|\mathcal{L}^{\text{own}}\|-\|\mathcal{L}^{\text{opp}}\|$ (own only if in check)
Center ctrl	$f_{4}(b)$	$\mathbb{Z}$	Own minus opp. attackers of $\{d4,d5,e4,e5\}$
Vulnerability	$f_{5}(b)$	$\mathbb{Z}_{\leq 0}$	$-\|\{s:\text{own piece on }s\text{ attacked}\}\|$

Table 1: Positional factor definitions for psyche computation.

Figure 1: Psyche computation pipeline. Five positional factors are extracted from the board, weighted, and summed to produce a raw evaluation

e_{t}

, which is tanh-compressed to a target psyche

\hat{\psi}_{t}\in[-100,+100]

.

Psyche state	Best	Good	Mild	Bad	Worst
Stress ( $\psi=-100$ )	0.80	1.30	1.00	1.40	1.20
Neutral ( $\psi=0$ )	1.30	1.20	1.00	0.70	0.50
Overconfident ( $\psi=+100$ )	1.00	1.00	1.00	1.00	1.00

Table 2: EQ band gains for the “human” personality preset across psyche states.

Preset	Dynamics $\alpha$	Gate $\tau_{g}$	Saturation $\sigma$	Character
flat	1.0 / 1.0	0 / 0 / 0	1.0 / 1.0 / 1.0	Bypass
classical	0.8 / 1.5	.01 / .02 / .05	.50 / .60 / .85	Disciplined
rock	0.6 / 1.6	.005 / .01 / .03	.35 / .45 / .70	Bold
jazz	0.5 / 1.4	.001 / .005 / .01	.25 / .35 / .50	Creative
metal	0.4 / 1.3	0 / .001 / .005	.20 / .30 / .50	Chaotic
human	0.5 / 2.0	.005 / .02 / .06	.30 / .50 / .85	Realistic

Table 3: Personality presets: dynamics and gate/saturation anchors (stress / neutral / overconfident).

Figure 2: Signal chain parameters for the “human” personality preset as a function of psyche

\psi

. Gate threshold is scaled

\times 20

for visibility. The dynamics power

\alpha

crosses unity at

\psi=0

: below neutral it acts as an expander (flattening the distribution), above as a compressor (sharpening it). All parameters interpolate linearly between the three psyche anchors.

Figure 3: EQ band gains for the “human” personality preset at three psyche conditions, displayed as equalizer panels. Each dot is a band control point (Best, Good, Mild, Bad, Worst); the smooth interpolated curve and shaded fill show the gain deviation from the white unity baseline (above

=

boost; below

=

cut). Under stress (

\psi=-70

), humps at “good” and “bad” shift weight toward adjacent tiers. At neutral (

\psi=0

), a strong monotone preference ordering is imposed. At overconfidence (

\psi=+70

), all deviations converge toward zero and the EQ becomes nearly flat.

Figure 4: Ailed system architecture. The move predictor

f_{\theta}

produces logits fed into the move selector; the psyche calculator computes the psyche state

\psi_{t}

from board position evaluations. Psyche state modulates all three output paths: move selection (signal chain), thinking mode (plan disruption), and study mode (skip probability and exploration quality). Dashed arrows indicate conditional paths.

Hyperparameter	Value
Vocabulary $\|\mathcal{V}\|$	4,547
Embedding dim $d$	512
Attention heads	8
Layers $N$	6
FFN dim	2,048
Max sequence length $L_{\max}$	300

Table 4: Move predictor hyperparameters.

Figure 5: Thinking mode lifecycle. A plan is generated when confidence exceeds the threshold, stored in a single-slot buffer, and executed only if the opponent’s actual move matches the prediction and the psyche disruption check passes.

Experiment	Condition	Games	W	D	L	Score	Avg Ply
A: Ailed-60k	Stress	667	22	79	566	9.2%	62
	Neutral	667	36	60	571	9.9%	61
	Overconfident	667	33	65	569	9.8%	61
B: Maia2+Psyche	Stress	667	123	155	389	30.1%	68
	Neutral	667	95	402	170	44.4%	39
	Overconfident	667	41	596	30	50.8%	16

Table 5: Match results across experiments and controls. Score is from the psyche-modulated side’s perspective against vanilla Maia2-1100. Controls use Maia2+Psyche (Experiment B’s base) with chain disabled.

Figure 6: Average psyche trajectories across 667 games per condition. Background shading marks the three psyche zones: light red (

\psi<-33

, stress), white (

|\psi|\leq 33

, neutral), light blue (

\psi>33

, overconfident); dotted lines at

\psi=\pm 33

mark zone boundaries. Shaded curve areas show the psyche footprint relative to neutral. (a) Ailed-60k: all conditions converge toward

\psi\approx-100

by move 30; meaningful three-way separation is confined to the first

{\sim}

15 moves. (b) Maia2+Psyche: the stronger model sustains separation throughout—stress stabilises around

-40

, neutral around

-30

, and overconfident decays gradually from

+80

without collapsing. The initial forced psyche is visible at move 0 in both panels.

Figure 7: Signal chain auto-tuning during a single stress game (Ailed-60k Game 502,

\psi_{0}=-80

, 54 moves, draw). (a) Psyche trajectory: forced stress (

-77

) recovers through neutral into overconfidence (peak

+73

at move 27), then collapses back to

-98

as the position deteriorates. (b) EQ band gains shown as deviation from unity (positive

=

boost, negative

=

cut). At low

\psi

(moves 0–14), “good” is strongly boosted (

+0.28

) while “worst” is cut (

-0.27

), and “best” is suppressed—a diffuse selection profile. At the overconfident peak (move 27), all deviations shrink toward zero—the EQ becomes transparent. In the degradation phase (moves 30+), the pattern resembles the low-

\psi

opening. (c) Signal chain parameters track the psyche: dynamics power crosses unity at neutral (expander below, compressor above), gate opens under stress and tightens at confidence, saturation ceiling rises and falls with psyche.

Experiment	Condition	Moves	Entropy	Confidence	Top Agree%
A: Ailed-60k	Stress	20,612	1.610	0.459	37.1 [36.3, 37.9]
	Neutral	20,086	1.639	0.466	45.9 [45.2, 46.6]
	Overconfident	20,337	1.664	0.469	57.0 [56.4, 57.6]
B: Maia2+Psyche	Stress	22,606	1.612	0.497	41.2 [40.5, 41.9]
	Neutral	12,901	1.542	0.529	51.8 [51.0, 52.6]
	Overconfident	5,180	1.515	0.575	66.0 [65.0, 67.0]

Table 6: Signal chain behavioral metrics across conditions (per-game means; 95% bootstrap CI for controls). Moves = total modulated-side moves; “–” indicates move counts not recorded for control runs.

Figure 8: Top-move agreement by condition across both experiments (4,002 games). Both engines show the same monotonic gradient: stress reduces agreement (more deviation from model’s top pick), overconfidence increases it (near-deterministic selection). The gradient is steeper for Maia2+Psyche because its stronger model probabilities give the signal chain more concentrated input to work with.

Metric	Ailed-60k spread	Maia2+Psyche spread
Score	$+0.6$ pp (9.2 $\to$ 9.8)	$+20.7$ pp (30.1 $\to$ 50.8)
Top agree%	$+19.9$ pp (37.1 $\to$ 57.0)	$+24.8$ pp (41.2 $\to$ 66.0)
Confidence	$+0.010$ (0.459 $\to$ 0.469)	$+0.078$ (0.497 $\to$ 0.575)
Entropy	$+0.054$ (1.610 $\to$ 1.664)	$-0.097$ (1.612 $\to$ 1.515)

Table 7: Signal chain gradient comparison: stress

\to

overconfident spread across engines.

Engine	Mode	Stress	Neutral	Overconf.	Spread	Score s $\to$ o
Ailed-60k	Full	37.1	45.9	57.0	19.9 pp	9.2–9.8%
Ailed-60k	Entropy-only	37.4	45.8	56.3	18.9 pp	10.0–5.5%
Ailed-60k	Fixed ( $c{=}1$ )	36.5	44.2	55.4	18.9 pp	10.2–9.0%
Maia2+Psyche	Full	41.2	51.8	66.0	24.8 pp	30.1–50.8%
Maia2+Psyche	Entropy-only	43.2	51.5	71.3	28.1 pp	25.8–52.0%
Maia2+Psyche	Fixed ( $c{=}1$ )	41.1	50.1	71.6	30.5 pp	27.8–50.5%

Table 8: Outcome predictor ablation: top-move agreement (%) and spread across confidence modes. Spread = overconfident

-

stress.

Configuration	Stress	Neutral	Overconf.	Spread
Full chain	41.9	60.1	76.6	34.7 pp
No gate	35.6	53.5	72.0	36.4 pp
No dynamics	54.1	61.7	68.4	14.3 pp
No EQ	44.3	62.5	74.9	30.6 pp
No saturation	48.3	64.7	78.2	29.9 pp
No gate + no dynamics	51.7	52.9	54.1	2.4 pp

Table 9: Stage-wise signal chain ablation: top-move agreement (%) by psyche zone (Maia2+Psyche, 334 games per zone per config). Flat control (667 games/zone) shown for reference. Spread = overconfident

-

stress.

Finding	Evidence	Ref.
Signal chain produces monotonic gradient	Top agree: 37–57% (A), 41–66% (B)	Section 7.2.4
Gradient is architecture-agnostic	${\sim}$ 20–25 pp spread for both engines	Section 7.2.5
Overconfident = near-transparent	66% Maia2 agree, 596/667 draws (B)	Section 7.2.1
Stress degrades competitive score	30.1% stress vs. 50.8% overconfident (B)	Section 7.2.1
Confidence tracks psyche state	Monotonic increase: 0.459 $\to$ 0.575	Section 7.2.4
Training data gap limits Ailed	9.2–9.9% score vs. 30–51% for Maia2+Psyche	Section 7.2.1

Table 10: Summary of key experimental findings from 12,414 games across four experiments.

Zone	Human CPL [95% CI]	Ailed CPL [95% CI]	Difference
Panic	64.9 [63.3, 66.5]	48.4 [39.6, 58.5]	$+16.5$
Stressed	96.8 [94.8, 98.9]	66.8 [55.7, 78.8]	$+30.0$
Neutral	76.8 [75.2, 78.4]	61.3 [53.2, 70.1]	$+15.5$
Confident	79.4 [77.9, 81.0]	65.0 [54.1, 77.5]	$+14.4$
Overconf	54.5 [53.4, 55.7]	58.2 [50.1, 67.6]	$-3.7$

Table 11: Mean centipawn loss per psyche zone: human 1100-ELO players (Lichess 2016,

n=7{,}748

games, 25,000 moves/zone, Stockfish depth 8) vs. Ailed (2,001 experiment games, 300 moves/zone). Difference = Human

-

Ailed.

Ailed: A Psyche-Driven Chess Engine with Dynamic Emotional Modulation

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