Model Description • Actors: An infinite population of individuals indexed by ei, one’s ability to earn a secular income, and zi, one’s ideal level of doctrinal strictness. – ei ∼ g(e|θ), where θ captures human development and g(e|θ) satisfies the monotone likelihood ratio property (MLRP). – zi ∼ h(z|ρ), where ρ captures society’s overall preference for doctrinal strictness and h(z|ρ) satisfies ...

A function f : {0, 1} → {0, 1} is said to be k-monotone if it flips between 0 and 1 at most k times on every ascending chain. Such functions represent a natural generalization of (1-)monotone functions, and have been recently studied in circuit complexity, PAC learning, and cryptography. Our work is part of a renewed focus in understanding testability of properties characterized by freeness of ...

In this paper, among others, we prove the following results: (1) Let (X, d) be a complete cone metric space partially ordered by v and q be a c-distance on X. Suppose F : X × X → X and g : X → X be two continuous and commuting functions with F (X × X) ⊆ g(X). Let F satisfy mixed g-monotone property and q(F (x, y), F (u, v)) k2 (q(gx, gu) + q(gy, gv)) for some k ∈ [0, 1) and all x, y, u, v ∈ X w...

We prove a new lower bound on the randomized decision tree complexity of monotone graph properties. For a monotone graph property $A$ of graphs on $n$ vertices, let $p=p(A)$ denote the threshold probability of $A$, namely the value of $p$ for which a random graph from $G(n,p)$ has property $A$ with probability $1/2$. Then the expected number of queries made by any decision tree for $A$ on such ...

Using the concept of a mixed g-monotone mapping, we prove some coupled coincidence and coupled common fixed point theorems for nonlinear contractive mappings in partially ordered complete quasi-metric spaces with a Q-function q. The presented theorems are generalizations of the recent coupled fixed point theorems due to Bhaskar and Lakshmikantham 2006 , Lakshmikantham and Ćirić 2009 and many ot...

In this paper, some recent results established by Marin Borcut [M. Borcut, Tripled fixed point theorems for monotone mappings in partially ordered metric spaces, Carpathian J. Math. 28, 2 (2012), 207--214] and [M. Borcut, Tripled coincidence theorems for monotone mappings in partially ordered metric spaces, Creat. Math. Inform. 21, 2 (2012), 135--142] are generalized and improved, with much sho...