A Differential Game with a Blind Player

A Differential Game with a Blind Player

We consider a zero sum differential game with lack of observation on one side. The initial state of the system is drawn at random according to some probability μ0 on IR N . Player I is informed of the initial position of state while player II knows only μ0. Moreover Player I observes Player II’s moves while Player II is blind and has no further information. We prove that in this game with a ter...

A Two-Player Zero-Sum Electromagnetic Differential Game with Uncertainty

We consider dynamic electromagnetic evasion-interrogation games where the evader can use ferroelectric material coatings to attempt to avoid detection while the interrogator can manipulate the interrogating frequencies to enhance detection. The resulting problem is formulated as a two-player zero-sum dynamic differential game in which the cost functional is based on the expected value of the in...

A Differential Oligopoly Game with Sticky Prices and Environmental Externality

Experiments with a Bayesian Game Player

In 7] we proposed a Bayesian algorithm for game playing that we will call BP. BP maintains a probabilistic model of its uncertainty and uses it to grow its search tree in the most relevant directions, and to value the tree's nodes. Here we describe the rst implementations of this algorithm and report on experiments comparing it with the standard (alpha-beta, or AB) approach, and the \probabilit...

a differential oligopoly game with sticky prices and environmental externality