Stable and Efficient Networks with Farsighted Players: the Largest Consistent Set

In this paper we study strategic formation of bilateral networks with farsighted players in the classic framework of Jackson and Wolinsky (1996). We use the largest consistent set (LCS)(Chwe (1994)) as the solution concept for stability. We show that there exists a value function such that for every component balanced and anonymous allocation rule, the corresponding LCS does not contain any strongly efficient network. Using Pareto efficiency, a weaker concept of efficiency, we get a more positive result. However, then also, at least one environment of networks (with a component balanced and anonymous allocation rule) exists for which the largest consistent set does not contain any Pareto efficient network. These confirm that the well-known problem of the incompatibility between the set of stable networks and the set of efficient networks persists even in the environment with farsighted players. Next we study some possibilities of resolving this incompatibility.networks, farsighted, largest consistent set

BB and BcB_c mesons with NRQCD and Clover actions

We present preliminary results from our study of the heavy-light spectrum and decay constants. For the heavy quark, we use NRQCD at various masses around and above the $b$ quark mass. For the first time, the heavy quark action and the heavy-light current consistently include corrections at second order in the non-relativistic expansion, as well as the leading finite $a$ corrections. The light quarks are simulated using a tadpole-improved Clover action at various masses in the strange and $c$ quark region.Comment: 6 Pages LaTex. Axis files of figures included. Joint writeup of two talks presented at LATTICE96(heavy quarks

On Credible Coalitional Deviations by Prudent Players

In this paper we first explore the predictive power of the solution notion called conservative stable standard of behaviour (CSSB), introduced by Greenberg (1990) in environments with farsighted players (as modelled in Xue (1998)) as intuitively it is quite nice. Unfortunately, we find that CSSB has a number of undesirable properties. Therefore, we introduce a refinement of this which we call conservative stable weak predictor. We explore some existence properties of this new solution.Coalitions; stable behaviour; perfect foresight

Nucleon in Nuclear Matter

The modification of the properties of nucleon in nuclear medium have been investigated in the context of flux tube model. A nucleon has been described as diquark-quark system connected by flux tube and quasi particle diquark model has been used to describe the diquak constituting the nucleon. The modification of incompressiblity, the roper resonance etc in the nuclear medium have been investigated. The results are compared with recent experimental and theoretical predictions

Local asymptotic minimax risk bounds in a locally asymptotically mixture of normal experiments under asymmetric loss

Local asymptotic minimax risk bounds in a locally asymptotically mixture of normal family of distributions have been investigated under asymmetric loss functions and the asymptotic distribution of the optimal estimator that attains the bound has been obtained.Comment: Published at http://dx.doi.org/10.1214/074921706000000527 in the IMS Lecture Notes--Monograph Series (http://www.imstat.org/publications/lecnotes.htm) by the Institute of Mathematical Statistics (http://www.imstat.org

Hadronic decays of B_c mesons with flavor SU(3)_F symmetry

We study implications of a recent observation of non-leptonic $B^+_c\to D^0 K^+$ decay and a bound on $B^+_c\to D^0 \pi^+$ transition on CP-violating asymmetries in $B_c$ decays. In the U-spin symmetry limit, we derive a relation between the CP-asymmetries in the $B^+_c\to D^0 K^+$ and $B^+_c\to D^0 \pi^+$ channels and the corresponding branching ratios. We also derive several relations between non-leptonic $B_c$ decays into the final states with $D$ mesons in the flavor $SU(3)_F$ limit. We point out that a combined study of $SU(3)_F$ amplitudes in these decays can be used to constrain the angle $\gamma$ of the Cabibbo-Kobayashi-Maskawa (CKM) matrix.Comment: 12 pages, 2 tables, no figure

On Some properties of Di-hadronic states

The binding energies of di- hadronic states have been calculated assuming a 'molecular' interaction provided by the asymptotic expression of the residual confined gluon exchange potential between the component hadrons in the system. Meson- meson and meson- baryon states have been studied in detail and a mass formula has been used to calculate total mass of the 'molecules'.Comment: 11 page