14 citations · 22 across the 12 of their papers we have counts for
18 papers
Semi-explicit entropic solution to a generalised Riemann problem in some hydrological context
Brice Franke, Majid Lagnaoui, Catherine Rainer
We discuss solutions of the one dimensional scalar conservation law with the flux function $y\longmapsto G_{c,ρ}\left(y\right)=((1-ρ)c-y)\mathbb{1}_{\{y>c\}}-ρy\mathbb{1}_{\{y\leqs…
Absorption Paths and Equilibria in Quitting Games
Galit Ashkenazi-Golan, Ilia Krasikov, Catherine Rainer +1
We study quitting games and define the concept of absorption paths, which is an alternative definition to strategy profiles that accomodates both discrete time aspects and continuo…
An example of multiple mean field limits in ergodic differential games
Pierre Cardaliaguet, Catherine Rainer
We present an example of symmetric ergodic -players differential games, played in memory strategies on the position of the players, for which the limit set, as , o…
Solving Two-State Markov Games with Incomplete Information on One Side *
Galit Ashkenazi-Golan, Catherine Rainer, Eilon Solan
We study the optimal use of information in Markov games with incomplete information on one side and two states. We provide a finite-stage algorithm for calculating the limit value…
On the (in)efficiency of MFG equilibria
Pierre Cardaliaguet, Catherine Rainer
Mean field games (MFG) are dynamic games with infinitely many infinitesimal agents. In this context, we study the efficiency of Nash MFG equilibria: Namely, we compare the social c…
A two player zerosum game where only one player observes a Brownian motion
Fabien Gensbittel, Catherine Rainer
We study a two-player zero-sum game in continuous time, where the payoff-a running cost-depends on a Brownian motion. This Brownian motion is observed in real time by one of the pl…