8 citations · 18 across the 8 of their papers we have counts for
4 papers · 1 filter
Preference graphs: a combinatorial tool for game theory
Oliver Biggar, Iman Shames
The preference graph is a combinatorial representation of the structure of a normal-form game. Its nodes are the strategy profiles, with an arc between profiles if they differ in t…
The Attractor of the Replicator Dynamic in Zero-Sum Games
Oliver Biggar, Iman Shames
In this paper we characterise the long-run behaviour of the replicator dynamic in zero-sum games (symmetric or non-symmetric). Specifically, we prove that every zero-sum game posse…
The Replicator Dynamic, Chain Components and the Response Graph
Oliver Biggar, Iman Shames
In this paper we examine the relationship between the flow of the replicator dynamic, the continuum limit of Multiplicative Weights Update, and a game's response graph. We settle a…
The graph structure of two-player games
Oliver Biggar, Iman Shames
In this paper we analyse two-player games by their response graphs. The response graph has nodes which are strategy profiles, with an arc between profiles if they differ in the str…