In partition function form games, the recursive core (r-core) is implemented by a modified version of Perry and Reny’s (1994) non-cooperative game. Specifically, every stationary subgame perfect Nash equilibrium (SSPNE) outcome is an r-core outcome. With the additional assumption of total r-balancedness, every r-core outcome is an SSPNE outcome.

Perfect simulation of an one-dimensional loss network on R with length distribution π and cable capacity C can performed using the clan of ancestors method. Domination of the clan of ancestors by a branching process with dependency in two generations improves the known sufficient conditions for the perfect scheme to be applicable.

Let M be a right module over a ring R. In this manuscript, we shall study on a special case of F-inverse split modules where F is a fully invariant submodule of M introduced in [12]. We say M is Z 2(M)-inverse split provided f^(-1)(Z2(M)) is a direct summand of M for each endomorphism f of M. We prove that M is Z2(M)-inverse split if and only if M is a direct...

In this paper we have studied five-dimensional Bianchi type-V spacetime in the f (R,T) theory. To solve Einstein’s field equations, assumed that Hubble parameter is inversely proportional toݎ ℎݐ power of scale factor alpha i.e. H 1/alphar. We obtained a singular model for r >0, non-singular r=0. The physical behavior models has also been discussed using some parameters.

THEOREM 1.1 (U. Sattes). Let r > 2 and g E C[O, l]\B$,‘. Then f”EB$’ is a best approximation to g, in L” (such a best approximation necessari/J) exisrs) if and only if there exists a subinterual (a, /?) c IO. 1 I and a positilse integer M > r + 1 for which the following conditions hold (i) f”l,n.ll, is a Perfect spline of degree r with exactly) M ~ r -1 knots arzd I.f”““(s)l = I a. e. on [u,pI....

Archaeologists working on plantation sites have typically ignored the role that violence played in the lives of enslaved African-Americans. By drawing together examples from archaeological publications in which violence has been mentioned, the commentary illustrates not only both the types and scale of violence endured by African-Americans, but also how archaeologists have effectively sanitized...

We introduce a new approach to study subgame-perfect equilibrium payoffs in stochastic games: the differential equations approach. We apply our approach to quitting games with perfect information. Those are sequential game in which at every stage one of n players is chosen; each player is chosen with probability 1/n. The chosen player i decides whether he quits, in which case the game terminate...

The wiretap channel put forward by Wyner for many years. In this paper, we consider the situation that the wiretapper can not only view the channel output via a second noisy channel, but also can get some side information about the codeword that transmitted in the main noisy channel. The designer tries to build the encoder-decoder in such a way as to maximize the transmission rate R, and the eq...