Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Learning to Personalize Treatments When Agents Are Strategic   There is increasing interest in allocating treatments based on observed
individual data: examples include targeted marketing, individualized credit
offers, and heterogenous pricing. Treatment personalization introduces
incentives for individuals to modify their behavior to obtain a better
treatment. This shifts the distribution of covariates, requiring a new
definition for the Conditional Average Treatment Effect (CATE) that makes
explicit its dependence on how treatments are allocated. We provide necessary
conditions that treatment rules under strategic behavior must meet. The optimal
rule without strategic behavior allocates treatments only to those with a
positive CATE. With strategic behavior, we show that the optimal rule can
involve randomization, allocating treatments with less than 100\% probability
even to those with a positive CATE induced by that rule. We propose a dynamic
experiment based on Bayesian Optimization that converges to the optimal
treatment allocation function without parametric assumptions on individual
strategic behavior.

14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int