Monotone refers to a sound, for example music or speech, that has a single unvaried tone. See:

monophony In music, monophony is the simplest of musical textures, consisting of a melody (or "tune"), typically sung by a single singer or played by a single instrument player (e.g., a flute player) without accompanying harmony or chords. Many folk son ...

. Monotone or monotonicity may also refer to:

In economics

Monotone preferences In economics, an agent's preferences are said to be weakly monotonic if, given a consumption bundle x, the agent prefers all consumption bundles y that have more of all goods. That is, y \gg x implies y\succ x. An agent's preferences are said to b ...

, a property of a consumer's preference ordering. *

Monotonicity (mechanism design) In mechanism design, monotonicity is a property of a social choice function. It is a necessary condition for being able to implement the function using a strategyproof mechanism. Its verbal description is: In other words: Notation There is a ...

, a property of a social choice function. *

Monotonicity criterion The monotonicity criterion is a voting system criterion used to evaluate both single and multiple winner ranked voting systems. A ranked voting system is monotonic if it is neither possible to prevent the election of a candidate by ranking them h ...

, a property of a voting system. *

Resource monotonicity Resource monotonicity (RM; aka aggregate monotonicity) is a principle of fair division. It says that, if there are more resources to share, then all agents should be weakly better off; no agent should lose from the increase in resources. The RM pri ...

, a property of resource allocation rules and bargaining systems.

In mathematics

Monotone class theorem In measure theory and probability, the monotone class theorem connects monotone classes and sigma-algebras. The theorem says that the smallest monotone class containing an algebra of sets G is precisely the smallest -algebra containing G. It ...

, in measure theory *

Monotone convergence theorem In the mathematical field of real analysis, the monotone convergence theorem is any of a number of related theorems proving the convergence of monotonic sequences (sequences that are non-decreasing or non-increasing) that are also bounded. Inform ...

, in mathematics *

Monotone polygon In geometry, a polygon ''P'' in the plane is called monotone with respect to a straight line ''L'', if every line orthogonal to ''L'' intersects the boundary of ''P'' at most twice. Similarly, a polygonal chain ''C'' is called monotone with respec ...

, a property of a geometric object *

Monotonic function In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order. This concept first arose in calculus, and was later generalized to the more abstract setting of order ...

, a property of a mathematical function *

Monotonicity of entailment Monotonicity of entailment is a property of many logical systems that states that the hypotheses of any derived fact may be freely extended with additional assumptions. In sequent calculi this property can be captured by an inference rule called ...

, a property of some logical systems *

Monotonically increasing In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order. This concept first arose in calculus, and was later generalized to the more abstract setting of order ...

, a property of number

sequence In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called ''elements'', or ''terms''). The number of elements (possibly infinite) is calle ...

Other uses

Monotone (software) Monotone is an Open-source software, open source software tool for distributed revision control. Monotone tracks revisions to files, groups sets of revisions into changesets, and tracks history across renames. The focus of the project is on int ...

, an open source revision control system *

Monotonic orthography Greek orthography has used a variety of diacritics starting in the Hellenistic period. The more complex polytonic orthography ( el, πολυτονικό σύστημα γραφής, translit=polytonikó sýstīma grafī́s), which includes fiv ...

, simplified spelling of modern Greek *

The Monotones The Monotones were a six-member American doo-wop vocal group in the 1950s. They are considered a one-hit wonder, as their only hit single was " The Book of Love", which peaked at No. 5 on the Billboard Top 100 in 1958. Biography The Monotones ...

, 1950s American rock and roll band * Quantifier monotonicity, in formal semantics {{disambig