In this paper we construct from a cographic matroid M , a pure multicomplex whose degree sequence is the h–vector of the the matroid complex of M. This result proves a conjecture of Richard Stanley [Sta96] in the particular case of cographic matroids. We also prove that the multicomplexes constructed are M–shellable, so proving a conjecture of Manoj Chari [Cha97] again in the case of cographic ...

This short note demonstrates how one can define a transformation of a non-zero sum game into a zero sum, so that the optimal mixed strategy achieving equilibrium always exists. The transformation is equivalent to introduction of a passive player into a game (a player with a singleton set of pure strategies), whose payoff depends on the actions of the active players, and it is justified by the l...

the aim of the present study was to investigate the effect of an official basketball game and its result on serum testosterone and cortisol responses as well as a possible difference in these hormones between fixed and reserved players. for this purpose, two teams were purposefully selected from semi-final games of tehran first clubs. the blood samples of 22 female players (mean age: 20 years, ...

Strategies to encourage exercise have led to research on cycle ergometer 'exergaming', as a means of enhancing exercise enjoyment. This research has typically prescribed the exercise intensity and used one exercise mode. The aim of this study was to compare self-selected exercise intensity on a cycle ergometer with and without exergaming modes activated. A total of 20 participants aged between ...

We introduce a new multi-player geometric game, which we will refer to as the isolation game, and study its Nash equilibria and best or better response dynamics. The isolation game is inspired by the Voronoi game, competitive facility location, and geometric sampling. In the Voronoi game studied by Dürr and Thang, each player’s objective is to maximize the area of her Voronoi region. In contras...

In this book, Notturn o states that in there has been a significant paradigm shift in Philosophy: the shift from an old episte m ological paradigm which he denomina t e s EP1 to a new one which he calls EP2. EP1 is the view that states that there are self-evident truths that exist and remain changeless and eternal. Under this paradigm, these trut hs guarantee objective knowledge. The EP2 start ...

The classical algorithm for solving Büchi games requires time O(n ·m) for game graphs with n states and m edges. For game graphs with constant outdegree, the best known algorithm has running time O(n/ log n). We present two new algorithms for Büchi games. First, we give an algorithm that performs at most O(m) more work than the classical algorithm, but runs in time O(n) on infinitely many graph...

Future agent mediated eCommerce will involve open systems of agents interoperating between different institutions, where different auction protocols may be in use. We argue that in order to achieve this agents will need a method to automatically verify the properties of a previously unseen auction protocol; for example, they may wish to verify that it is fair and robust to deception. We are the...