This paper addresses the two-way implication between punctuality level of public transport and commuter behavior. We consider a modal competition between public transport and an alternative mode. Commuters may choose different strategies to minimize their journey cost. In particular, when the...

This paper addresses the two-way implication between punctuality level of public transport and commuter behavior. We consider a modal competition between public transport and an alternative mode. Commuters may choose different strategies to minimize their journey cost. In particular, when the...

The paper examines under what conditions vertically differentiated duopolists engage in first-degree price discrimination. Each firm decides on a pricing regime at a first stage and sets prices at a second stage. The paper shows that when unit cost is an increasing and convex function of...

This note further characterizes the tacit collusion equilibria in the investment timing game of Boyer, Lasserre and Moreaux [1]. Tacit collusion equilibria may or may not exist, and when they do may involve either finite time investments (type 1) or infinite delay (type 2). The relationship...

Potential based no-regret dynamics are shown to be related to fictitious play. Roughly, these are epsilon-best reply dynamics where epsilon is the maximal regret, which vanishes with time. This allows for alternative and sometimes much shorter proofs of known results on convergence of no-regret...

The dual reduction process, introduced by Myerson, allows a finite game to be reduced to a smaller-dimensional game such that any correlated equilibrium of the reduced game is an equilibrium of the original game. We study the properties and applications of this process. It is shown that generic...

If a game has a unique Nash equilibrium, then this equilibrium is arguably the solution of the game from the refinement's literature point of view. However, it might be that for almost all initial conditions, all strategies in the support of this equilibrium are eliminated by the replicator...

In a recent but well known paper, Reny has proved the existence of Nash equilibria for compact and quasiconcave games, with possibly discontinuous payoff functions. In this paper, we prove that the quasiconcavity assumption in Reny's theorem can be weakened : we introduce a measure allowing to...

A power system is modeled by an interaction form, the solution of which is called a settlement. By stability we mean the existence of some settlement for any preference profile. Like in other models of power structure, instability is equivalent to the existence of a cycle. Structural properties...