We construct a parametric family of (modified) divide-the-dollar games: when there is excess demand, some portion the dollar may disappear and remaining distributed in bankruptcy problem. In two extremes, this game captures standard Nash (Econometrica 21:128–140, 1953) (when whole vanishes) studied Ashlagi et al. (Math Soc Sci 63:228–233, 2012) remains) as special cases. first show that all int...

Abstract Grouper are demersal fishes that can be found in tropical and subtropical waters. In Indonesia, one of the areas where grouper production takes place Saleh Bay, a semi-enclosed water with small islands, coral reefs high diversity. Information’s about population abundance species Bay currently limited. The benefits this research to enhance availability information on diversity area as f...

We prove a regularity lemma with respect to arbitrary Keisler measures μ on V , ν on W where the bipartite graph (V,W,R) is definable in a saturated structure M̄ and the formula R(x, y) is stable. The proof is rather quick, making use of local stability theory. The special case where (V,W,R) is pseudofinite, μ, ν are the counting measures, and M̄ is suitably chosen (for example a nonstandard mode...

In this paper, we study the classic problem of fairly allocating indivisible items with the extra feature that the items lie on a line. Our goal is to find a fair allocation that is contiguous, meaning that the bundle of each agent forms a contiguous block on the line. While allocations satisfying the classical fairness notions of proportionality, envyfreeness, and equitability are not guarante...

The target basins of this project are located in the Mekong River Basin across the toposequence (northern Thailand, northeast Thailand, Mekong Delta in Vietnam). An additional site is located in Bhutan. In these basins, diverse stakeholders with differing perceptions of water dynamics adopt various strategies to cope with the problems. There is a need, therefore, to understand the factors influ...

Oak-dependent birds are expected to suffer severe population declines as a result of sudden oak death (SOD). We investigated how the disappearance of two highly SOD-sensitive tree species, tanoak (Lithocarpus densiflorus) and coast live oak (Quercus agrifolia), may in turn affect levels of bird species richness, diversity, and equitability in coastal oak habitats of California. Combining avian ...

In a simple, finite and undirected graph G with vertex set V edge E, Prof. Sampathkumar defined degree equitability among vertices of G. Two u v are said to be equitable if |deg(u) − deg(v)| ≤ 1. Equitable domination has been studied in [7]. V.R.Kulli B.Janakiram strong non - split [12]. this paper, the version new type is