We provide a bound on the size of simultaneous best response cycles for generic finite two-player games. The bound shows that no cycle will move through the entire strategy space as long as either player has more than two strategies. This bound increases quadratically in the size of the strategy spaces. It is the tightest possible in the sense that we can construct a generic game with a cycle t...

Markov games are a model of multiagent environments that are convenient for studying multiagent reinforcement learning. This paper describes a set of reinforcement-learning algorithms based on estimating value functions and presents convergence theorems for these algorithms. The main contribution of this paper is that it presents the convergence theorems in a way that makes it easy to reason ab...

We investigate experimentally the impact of continuous time on a four-player Hotelling location game. The static pure strategy Nash equilibrium (NE) consists of firms paired-up at the first and third quartiles of the linear city. In repeated simultaneous move games (discrete time grid), we fail to obtain convergence to this distinctive NE, as have previous studies. However, with asynchronous mo...

The first multiplayer game can be retraced back [1] to SpaceWars, 1962. It consisted in 2 players on the same machine, controlling a rudimentary 2D output. Three decades later, with the release of Doom in 1993, 4 players could challenge each other in a 3D environment, on a local network. Ten years later, massive multiplayer on-line games gather more than 100 000 simultaneous players in virtual ...

By means of an event study of stock market reactions to the announcement of the Olympic Games host cities, we find a significant and positive announcement effect of hosting the Summer Games, with a cumulative abnormal return of about 2% within a few days. We do not find any significant results for the Winter Games. Neither do we detect a significant impact when bidders lose the competition. Our...

Maybe an event can't be modeled completely through one game but there is more chance with several games. With emphasis on players' rationality, we present new properties of strategic games, which result in production of other games. Here, a new attitude to modeling will be presented in game theory as dynamic system of strategic games and its some applications such as analysis of the clash betwe...