Human decision makers increasingly delegate choices to AI agents, raising a natural question: does the AI implement the human principal's preferences or pursue its own? To study this question using revealed preference techniques, I introduce the Luce Alignment Model, where the AI's choices are a mixture of two Luce rules, one reflecting the human's preferences and the other the AI's. I show that the AI's alignment (similarity of human and AI preferences) can be generically identified in two settings: the laboratory setting, where both human and AI choices are observed, and the field setting, where only AI choices are observed.
Figures & tables
Agent
Option
{x,y,z}
{x,y}
{x,z}
{y,z}
ρAI
x
1/3
7/15
1/2
–
y
1/3
8/15
–
8/15
z
1/3
–
1/2
7/15
ρH
x
1/2
3/5
3/4
–
y
1/3
2/5
–
2/3
z
1/6
–
1/4
1/3
Table 1: Observed choice probabilities in Example 1
Agent
Option
{x,y,z}
{x,y}
{x,z}
{y,z}
ρA
x
1/6
1/3
1/4
–
y
1/3
2/3
–
2/5
z
1/2
–
3/4
3/5
Table 2: Recovered autonomous AI stochastic choice ρA