Monotonicity properties of exclusion sensitivity

Old and New Monotonicity Properties

Suppose that each ballot consists of a strict preference ranking of the alternatives, that alternative x has just won the election, and that a single voter now changes her ballot by moving x higher up in the ranking (without changing her relative preference among other alternatives). The standard monotonicity property of social choice theory asserts, in any such scenario, that x should remain t...

Monotonicity properties of certain Laplacian eigenvectors

Nath and Paul (Linear Algebra Appl., 460 (2014), 97-110) have shown that the largest distance Laplacian eigenvalue of a path is simple and the corresponding eigenvector has properties similar to the Fiedler vector. We given an alternative proof, establishing a more general result in the process. AMS Classification: 05C05, 05C50

Monotonicity and Aging Properties of Random Sums

In this paper, we discuss the distributional properties of random sums. We first derive conditions under which the distribution of a binomial sum is PF2 and then show under the same conditions the distribution of a Poisson sum is PF2 by approximating a Poisson sum by a sequence of binomial sums. The PF2 property reveals the monotonicity property of the reversed failure rates of certain compound...

Monotonicity Properties of Stochastic Inventory Systems

Monotonicity properties of wholesale price contracts

This paper contributes to the supply chain contracts literature in economics and operations by performing qualitative sensitivity analysis of a wholesale price contract in a two-echelon supply chain setting. Ordertheory tools are used to derive sufficient conditions for monotonicity of contract parameters. The upstream supplier is modeled as a Stackelberg leader. The supplier is assumed to have...