Two new paradoxes for decision theory

Self-referential paradoxes are familiar in semantics (and mathematics). In this paper I introduce decision theoretic analogues of the liar and truth-teller paradoxes and discuss the assumptions needed to generate them. I will offer no solutions, only problems, here. 

Toby is a postdoctoral researcher at Ludwig-Maximilians-Universität (LMU) Munich. His recent work focuses on the intersection of debates about free will and formal decision theory. He is beginning a Humboldt Fellowship in 2023 studying the issue of uncertainty about options in decision theory.