30 citations · 33 across the 5 of their papers we have counts for
6 papers
Some Structure Properties of Finite Normal-Form Games
Nicholas Ham
Game theory provides a mathematical framework for analysing strategic situations involving at least two players. Normal-form games model situations where the players simultaneously…
Lattice paths and submonoids of
James East, Nicholas Ham
We study a number of combinatorial and algebraic structures arising from walks on the two-dimensional integer lattice. To a given step set , there are two na…
The Planar Modular Partition Monoid
Nicholas Ham
The primary contribution of this thesis is to introduce and examine the planar modular partition monoid for parameters , which has simultaneously and inde…
Enumeration of idempotents in planar diagram monoids
Igor Dolinka, James East, Athanasios Evangelou +5
We classify and enumerate the idempotents in several planar diagram monoids: namely, the Motzkin, Jones (a.k.a. Temperley-Lieb) and Kauffman monoids. The classification is in terms…
Enumeration of idempotents in diagram semigroups and algebras
Igor Dolinka, James East, Athanasios Evangelou +4
We give a characterisation of the idempotents of the partition monoid, and use this to enumerate the idempotents in the finite partition, Brauer and partial Brauer monoids, giving…
Notions of Anonymity, Fairness and Symmetry for Finite Strategic-Form Games
Nicholas Ham
In this paper we survey various notions of anonymity and symmetry for finite strategic-form games present in relevant literature, and discuss notions of fairness; show that game bi…