Calculation of Higher-Order Fluxes in Symmetric Cores—I: Theory

Higher-order non-symmetric counterterms in pure Yang-Mills theory

We analyze the restoration of the Slavnov-Taylor (ST) identities for pure massless Yang-Mills theory in the Landau gauge within the BPHZL renormalization scheme. The Zimmermann-Lowenstein IR regulator M(s−1) is introduced via a suitable BRST doublet, thus preserving the nilpotency of the BRST differential. We explicitly obtain the most general form of the action-like part of the symmetric regul...

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...

Varieties of higher-order theory

Symmetric Fewnomial Inequalities and Higher Order Convexity

We prove a difficult symmetric fewnomial inequality by proving a more general inequality which applies to all functions with nonnegative fourth derivative.