The field of Artificial Intelligence, which started roughly half a century ago, has a turbulent history. In the 1980s there has been a major paradigm shift towards embodiment. While embodied artificial intelligence is still highly diverse, changing, and far from “theoretically stable”, a certain consensus about the important issues and methods has been achieved or is rapidly emerging. In this n...

Theoretically speaking, heavy tax rates on gambling should dampen growth of the casino revenues. Indeed, a cursory glance at data across U.S. states suggests more jobs and income are generated directly by the gaming industry when lower tax rates are applied. Using a detailed computable general equilibrium model, we evaluate the effects of a proposed machinebased casino on New Jersey’s economy a...

2-D projective moment invariants were firstly proposed by Suk and Flusser in [12]. We point out here that there is a useless projective moment invariant which is equivalent to zero in their paper. 3-D projective moment invariants are generated theoretically by investigating the property of signed volume of a tetrahedron. The main part is the selection of permutation invariant cores for multiple...

We study security games with multiple defenders. To achieve maximum security, defenders must perfectly synchronize their randomized allocations of resources. However, in real-life scenarios (such as protection of the port of Boston) this is not the case. Our goal is to quantify the loss incurred by miscoordination between defenders, both theoretically and empirically. We introduce two notions t...