5 papers
Conjugation invariants determine the metacommutation permutation only up to relabelling
Matthew Fried
Let be the Hurwitz quaternions, an odd prime, and a prime of norm . Metacommutation induces a permutation of the $…
What Multichoice Values Cannot See: The Information Content of Anonymous Values for Games with Graded Participation
Matthew Fried
In a cooperative game with graded participation, each of players acts at one of ordered levels; multichoice games, voting with abstention, and graded feature attribution al…
Which Wallpaper Groups Arise from Tiled Games?
Matthew Fried
Which discrete symmetry groups can arise from strategic interaction? We tile the plane with copies of a bimatrix game's support complex, joined by controlled boundary rules, and sh…
Game Conductors of Finite Groups: Determinantal Torsion from Structured Payoff Probes
Matthew Fried
We attach to a finite group and a structured payoff probe an integer \emph{payoff-difference lattice} and its \emph{conductor} : the primes at which $M_…
What Semivalues Cannot See: The Information Content of Anonymous Marginal Values
Matthew Fried
The semivalue family shares a common kernel: games invisible to every anonymous marginal value at once, nonzero from four players (Kleinberg and Weiss, 1985; Amer, Derks and Gimén…