Exploration-exploitation is a powerful and practical tool in multi-agent learning (MAL);
however, its effects are far from understood. To make progress in this direction, we study a …

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 …

In view of the complexity of the dynamics of learning in games, we seek to decompose a
game into simpler components where the dynamics' long-run behavior is well understood. A …

A finite-horizon Lanchester model of a (continuous-time) differential game of oligopolistic
advertising is considered, and the analytical form of the unique closed-loop Nash …

With their prominent scene understanding and reasoning capabilities, pre-trained visual-
language models (VLMs) such as GPT-4V have attracted increasing attention in robotic task …

Do the world's best tennis pros play Nash equilibrium mixed strategies? We answer this
question using data on serve direction choices (to the receiver's left, right or body) from the …

It is shown that the n-player lottery contest admits a best-response potential (Voorneveld,
2000). This is true also when the contest technology reflects the possibility of a draw. The …

Fictitious play (FP) is one of the most fundamental game-theoretical learning frameworks for
computing Nash equilibrium in $ n $-player games, which builds the foundation for modern …

In view of the complexity of the dynamics of no-regret learning in games, we seek to
decompose a finite game into simpler components where the day-to-day behavior of the …

Orthogonal direct-sum decompositions of finite games into potential, harmonic and
nonstrategic components exist in the literature. In this paper we study the issue of …