We prove NP-hardness of six families of naturally defined, interesting board games. Some of
them are “only just hard” in the sense that slight variations of them are polynomial. We …

We introduce in this paper the notion of a stable winning coalition in a multiplayer game.
This is used as a new system of classi cation of games. An axiomatic re nement of this classi …

A Gamut of Game Theories Page 1 ----...... AWCLC) A Gamut of Game Theories The evaluation
of compounds of games, playing lots of games at once, gives a natural construction of surreal …

We introduce a generalization of the classical game of Nim by placing the piles on the
vertices of a simplicial complex and allowing a move to affect the piles on any set of vertices …

In this note we are going to present a winning strategy for a game on trees (reminiscent of
the games of Hackenbush type) which, it seems, has been invented by J. Von Neumann in …

The game of two-person whist is played with a deck of cards. Each card belongs to a suit,
and each suit is totally ordered. The cards are distributed between the two players so that …

Surreal numbers are an alternate number system that constructs the real numbers using ony
cuts, and in addition builds some more esoteric numbers. Games are a more general …