Idempotency in Optimality Theory 1

Idempotency in Optimality Theory 1 GIORGIO MAGRI

An idempotent phonological grammar maps phonotactically licit forms faithfully to themselves. This paper establishes tight sufficient conditions for idempotency in (classical) Optimality Theory. Building on Tesar (2013), these conditions are derived in two steps. First, idempotency is shown to follow from a general formal condition on the faithfulness constraints. Second, this condition is show...

Optimality Of Monetary And Fiscal Policies In Iran: An Application Of The Stochastic Optimal Control Theory

Idempotency, Output-Drivenness and the Faithfulness Triangle Inequality: Some Consequences of McCarthy's (2003) Categoricity Generalization

Idempotency requires any phonotactically licit forms to be faithfully realized. Output-drivenness requires any discrepancies between underlying and output forms to be driven exclusively by phonotactics. Tesar (2013) and Magri (to appear) provide tight guarantees for OT output-drivenness and idempotency through conditions on the faithfulness constraints. This paper derives analogous faithfulness...

An Introduction to Idempotency

The word idempotency siwfies the study of semirings in wmch the addition operation is idempotent: a + a = a. The best-mown example is the max-plus semiring, consisting of the real numbers with negative infinity adjoined in which addition is defined as max(a,b) and multiplication as a+b, the latter being distnbutive over the former. Interest in such structures arose in the late 1950s through the...

Control Theory and Economic Policy Optimization: The Origin, Achievements and the Fading Optimism from a Historical Standpoint

Economists were interested in economic stabilization policies as early as the 1930’s but the formal applications of stability theory from the classical control theory to economic analysis appeared in the early 1950’s when a number of control engineers actively collaborated with economists on economic stability and feedback mechanisms. The theory of optimal control resulting from the contributio...