We study how the structure of the interaction graph of a game affects the existence of pure Nash equilibria. In particular, for a fixed interaction graph, we are interested in whether there exist pure Nash equilibria which arise when random utility tables are assigned to the players. We provide conditions for the structure of the graph under which equilibria are likely to exist and complementary conditions which make the existence of equilibria highly unlikely. Our results have immediate implications for many deterministic graphs and generalize known results for random games on the complete graph. In particular, our results imply that the probability that bounded degree graphs have pure Nash equilibria is exponentially small in the size of ...
International audienceHow many pure Nash equilibria can we expect to have in a finite game chosen at...
In this talk, I will show how one can characterize and compute Nash equilibria in multiplayer games ...
We analyze dynamic local interaction in population games where the local interaction structure (mode...
We study how the structure of the interaction graph of a game affects the existence of pure Nash equ...
This paper studies the likelihood of the existence of a pure Nash equilibrium (PNE) in random payoff...
In finite games, mixed Nash equilibria always exist, but pure equilibria may fail to exist. To asses...
We use techniques from the statistical mechanics of disordered systems to analyse the properties of ...
We prove that in every normal form n-player game with m actions for each player, there exists an app...
We prove that in every normal form n-player game with m actions for each player, there exists an app...
Abstract — This paper studies n-person simultaneous-move games with linear best response function, w...
Pure Nash equilibria are foundational to the field of game theory. We use a "random games" approach ...
In the network creation game with n vertices, every vertex (a player) buys a set of adjacent edges, ...
Abstract: This paper studies a wide class of games, representing many different economic envi-ronmen...
Abstract. We study the complexity of computing Nash equilibria in games where players arranged as th...
One of the natural objectives of the field of the social networks is to predict agents ’ behaviour. ...
International audienceHow many pure Nash equilibria can we expect to have in a finite game chosen at...
In this talk, I will show how one can characterize and compute Nash equilibria in multiplayer games ...
We analyze dynamic local interaction in population games where the local interaction structure (mode...
We study how the structure of the interaction graph of a game affects the existence of pure Nash equ...
This paper studies the likelihood of the existence of a pure Nash equilibrium (PNE) in random payoff...
In finite games, mixed Nash equilibria always exist, but pure equilibria may fail to exist. To asses...
We use techniques from the statistical mechanics of disordered systems to analyse the properties of ...
We prove that in every normal form n-player game with m actions for each player, there exists an app...
We prove that in every normal form n-player game with m actions for each player, there exists an app...
Abstract — This paper studies n-person simultaneous-move games with linear best response function, w...
Pure Nash equilibria are foundational to the field of game theory. We use a "random games" approach ...
In the network creation game with n vertices, every vertex (a player) buys a set of adjacent edges, ...
Abstract: This paper studies a wide class of games, representing many different economic envi-ronmen...
Abstract. We study the complexity of computing Nash equilibria in games where players arranged as th...
One of the natural objectives of the field of the social networks is to predict agents ’ behaviour. ...
International audienceHow many pure Nash equilibria can we expect to have in a finite game chosen at...
In this talk, I will show how one can characterize and compute Nash equilibria in multiplayer games ...
We analyze dynamic local interaction in population games where the local interaction structure (mode...