Inverse Stackelberg Solutions for Games with Many Followers

TL;DR

This paper studies inverse Stackelberg games involving many players, providing characterizations and existence results for solutions in static and differential game settings under strategy set compactness.

Contribution

It introduces new solution characterizations and existence theorems for inverse Stackelberg games with multiple followers, expanding the theoretical framework.

Findings

Characterization of inverse Stackelberg solutions

Existence theorems under concavity conditions

Applicability to static and differential games

Abstract

The paper is devoted to inverse Stackelberg games with many players. We consider both static and differential games. The main assumption of the paper is the compactness of the strategy sets. We obtain the characterization of inverse Stackelberg solutions and under additional concavity conditions establish the existence theorem.