In this document we provide a couple of exercises that help understand the basic concepts of game theory, including pure and mixed strategies, zero sum and non-zero sum games, and saddle-point and Nash solutions. The definition for concepts and the ideas for these exercises were taken in part from [1, 2]. Before we start, let us introduce some notation. We are going to assume that we have only ...

The algorithm given on page 6 may deadlock because communications do not follow the directedness of the tree but may occur in either direction. The algorithm, and its proof, are correct if we restrict ourselves to trees, rather than RDAG`s. RDAG's ((1]) do not contain directed cycles, but may contain cycles. In those cases the algorithm, and the 'proof' of the absence of deadlock on p.7 are inc...

Some studies suggest that entomopathogenic nematodes (EPN) affect plant-parasitic nematode populations. Here, the effects of live and dead IJ of Heterorhabditis bacteriophora JPM4, H. baujardi LPP7, Steinernema feltiae SN and S. carpocapsae All were evaluated against eggs and J2 of the plant-parasitic nematode Meloidogyne mayaguensis. According to treatment, 100 IJ were applied with 350 eggs, 3...

Acknowledgments In the path for pursuing my Ph.D, there are many people supporting me, guiding me and helping me. Ph.D, all the years offering the financial support to me along the path to achieving it and teaching me to prepare excellent talks. I feel lucky in his research group that I have the opportunities to exchange and cooperate with many other research groups from all over the world. Pro...

Definition 2.1. A game (in extensive form) is said to be zero-sum if and only if, at each terminal vertex, the payoff vector (p 1 ,. .. , p n) satisfies n i=1 p i = 0. Two-person zero sum games in normal form. Here's an example.. .    −1 −3 −3 −2 0 1 −2 −1 2 −2 0 1    The rows represent the strategies of Player 1. The columns represent the strategies of Player 2. The entries a ij represen...

The editing software used by the Economic Census offers a variety of imputation options, many of which employ statistical models. In prior censuses, the services sectors portion of the Economic Census has relied on industry average imputation as its primary statistical imputation model. This ratio imputation method uses weighted least squares estimates for no-intercept simple linear regression ...

In this paper we consider a generalization to algebraic number fields of the classical Hermite constant γ n . For this constant we extend the well-known Minkowski bound and study the notion of extreme forms in this setting. Let us briefly recall the definition of Hermite’s constant. Let (a ij ) be a positive definite symmetric real n¬n matrix and let f(x " ,... ,x n ) ̄3 ij a ij x i x j be its a...

In this paper, we obtain the classification theorem for 3-dimensional complete space-like $\lambda$-translators $x:M^{3} \rightarrow \mathbb{R}^{4}_{1}$ with constant norm of second fundamental form and $f_{4} = \sum_{i,j,k,l} h_{ij} h_{jk} h_{kl} h_{li}$ $h_{ij}$ being components in Minkowski space $\mathbb{R}^{4}_{1}$.