Monoclinic and triclinic phases in higher-order Devonshire theory

Monoclinic pseudosymmetry in 2-phenoxybenzenesulfonamide, a triclinic structure having Z' = 4, and spontaneous resolution in monoclinic N-methyl-2-phenoxybenzenesulfonamide.

2-Phenoxybenzenesulfonamide, C(12)H(11)NO(3)S, (I), crystallizes in space group P-1 with Z' = 4, but the structure closely mimics the monoclinic space group P2(1)/b with Z' = 2. The molecules of (I) are linked by a combination of N-H...O and C-H...O hydrogen bonds into two independent chains of centrosymmetric edge-fused R(2)(2)(18) and R(6)(6)(34) rings. N-Methyl-2-phenoxybenzenesulfonamide, C...

Higher-Order Game Theory

In applied game theory the motivation of players is a key element. It is encoded in the payoffs of the game form and often based on utility functions. But there are cases were formal descriptions in the form of a utility function do not exist. In this paper we introduce a representation of games where players’ goals are modeled based on so-called higher-order functions. Our representation provi...

Higher-Order Decision Theory

Classical decision theory models behaviour in terms of utility maximisation where utilities represent rational preference relations over outcomes. However, empirical evidence and theoretical considerations suggest that we need to go beyond this framework. We propose to represent goals by higherorder functions or operators that take other functions as arguments where the max and argmax operators...

Decision Theory with Higher Order

In existing models of decision under uncertainty where the decision maker may have multiple beliefs (vague beliefs) the different beliefs are not distinguished by their degree of reliability. This paper extends the model of vague beliefs in this direction: the decision maker may have multiple beliefs, but also has a complete order over them (a belief over his own beliefs, or higher order belief...

Varieties of higher-order theory