Matrix-Ball Construction of affine Robinson-Schensted correspondence

International audience In his study of Kazhdan-Lusztig cells in affine type A, Shi has introduced an affine analog of Robinson- Schensted correspondence. We generalize the Matrix-Ball Construction of Viennot and Fulton to give a more combi- natorial realization of Shi's algorithm. As a biproduct, we also give a way to realize the affine correspondence via the usual Robinson-Schensted bumping algorithm. Next, inspired by Honeywill, we extend the algorithm to a bijection between extended affine symmetric group and triples (P, Q, ρ) where P and Q are tabloids and ρ is a dominant weight. The weights ρ get a natural interpretation in terms of the Affine Matrix-Ball Construction. Finally, we prove that fibers of the inverse map possess a Weyl group symmetry, explaining the dominance condition on weights.

A SIMPLE ITERATIVE Z-ESTIMATOR FOR SEMIPARAMETRIC MODELS

We propose a new iterative estimation algorithm for use in semiparametric models where calculation of Z-estimators by conventional means is difficult or impossible. Unlike a Newton–Raphson approach, which makes use of the entire Hessian, this approach only uses curvature information associated with portions of the Hessian that are relatively easy to calculate. Consistency and asymptotic normality of estimators obtained from this algorithm are established under regularity conditions and an information dominance condition. Two specific examples, a quantile regression model with missing covariates and a GARCH-in-mean model with conditional mean of unknown functional form, demonstrate the applicability of the algorithm. This new approach can be interpreted as an extension of the maximization by parts estimation approach to semiparametric models.

Strong Forward Induction

Forward induction, as defined by Govindan and Wilson (2009. “On Forward Induction.” Econometrica 77:1–28), places a local dominance condition on off-equilibrium beliefs that restricts relevant strategy profiles for an equilibrium outcome to be infinitely more likely than profiles that include irrelevant strategies. Meanwhile, it places no global dominance restrictions and thus leaves open the possibility that a dominated strategy is deemed more likely than strategies dominating it. This paper defines strong forward induction, which improves upon forward induction. We also develop a solution concept called strong forward induction equilibrium that is obtained from iterative application of the strong forward induction criterion.

PERHITUNGAN TINGKAT UTANG MAKSIMAL PEMERINTAH SEBAGAI ACUAN BAGI KEBIJAKAN MONETER DI INDONESIA

The interaction of monetary and fiscal policy in an economy played an important role for macroeconomic stabilization policy. Blanchard (1990) has shown the fiscal domination condition in this policy interaction, fiscal dominance condition could be caused by the accumulation of government debt. This research analyzed the maximum debt that can be accumulated by the government, and still be sustained and could not drag the economy to the fiscal dominance condition. Using the Mendoza and Oviedo (2004) model, we find the maximum accumulated government debt is 45.2 percent of Indonesia GDP. This result is based on the 20 percent of expenditure adjustment of Indonesian government budget

Strategies that facilitate or counter eavesdropping on vocal interactions in songbirds

Most territorial songbirds live in communication networks where eavesdropping on vocal interactions may constitute an important option for gathering information regarding the relative dominance, condition and quality of individuals being eavesdropped upon. The relatively low costs and risks of eavesdropping, together with the obvious advantages of gaining such comparative information about other individuals, predict eavesdropping to be a widespread phenomenon even though it is not necessarily advantageous for the participants to be eavesdropped upon. Special eavesdropper strategies that facilitate eavesdropping (how best to eavesdrop) may therefore have evolved together with strategies for interacting that either co-facilitate (public signaling) or counter eavesdropping directly (private signaling) or indirectly by preventing any subsequent negative consequences of being eavesdropped upon (anonymity). This paper reviews the predictions for the strategies and also gives examples supporting their use by territorial songbirds in connection with vocal interactions.