Global Coalitional Games

Global coalitional games are TU cooperative games intended to model situations where the worth of coalitions varies across different partitions of the players. Formally, they are real-valued functions whose domain is the direct product of the subset lattice and the lattice of partitions of a finite player set. Therefore, the dimension of the associated vector space grows dramatically fast with the cardinality of the player set, inducing flexibility as well as complexity. Accordingly, some reasonable restrictions that reduce such a dimension are considered. The solution concepts associated with the Shapley value and the core are studied for the general (i.e., unrestricted) case.lattice, lattice function, coalition, partition, Shapley value, core

Nodal Statistics of Planar Random Waves

We consider Berry's random planar wave model (1977) for a positive Laplace eigenvalue $E>0$, both in the real and complex case, and prove limit theorems for the nodal statistics associated with a smooth compact domain, in the high-energy limit ($E\to \infty$). Our main result is that both the nodal length (real case) and the number of nodal intersections (complex case) verify a Central Limit Theorem, which is in sharp contrast with the non-Gaussian behaviour observed for real and complex arithmetic random waves on the flat $2$-torus, see Marinucci et al. (2016) and Dalmao et al. (2016). Our findings can be naturally reformulated in terms of the nodal statistics of a single random wave restricted to a compact domain diverging to the whole plane. As such, they can be fruitfully combined with the recent results by Canzani and Hanin (2016), in order to show that, at any point of isotropic scaling and for energy levels diverging sufficently fast, the nodal length of any Gaussian pullback monochromatic wave verifies a central limit theorem with the same scaling as Berry's model. As a remarkable byproduct of our analysis, we rigorously confirm the asymptotic behaviour for the variances of the nodal length and of the number of nodal intersections of isotropic random waves, as derived in Berry (2002).Comment: Preliminary version. 51 page

Heterogeneous consumers, demand regimes, monetary policy and equilibrium determinacy

This paper investigates the effects of monetary policy in presence of heterogeneous consumers. We study the effectiveness (quantitative effects) of monetary policy and equilibrium determinacy properties of a New Keynesian DSGE model where a fraction of households cannot smooth consumption. We show that two-demand regimes can emerge (according to the “slope” of IS curve) and that the main unconventional results, stressed by recent literature, only hold in the unconventional case of an IS curve positively sloped.Heterogeneous consumers, liquidity constraints, determinacy, demand regimes

Efficacy of Monetary Policy and Limited Asset Market Participation

A common wisdom argues that limited asset market participation reduces the efficacy of monetary policy. This paper investigates this issue in the context of the New Keynesian dynamic stochastic general equilibrium models. Despite limited participation actually reduces effects of interest rate policies by reducing the effect on inter-temporal allocation of consumption, we find an opposite result. Monetary policy becomes more effective as long as the share of agents who cannot access to the financial market increases. The reason has a very Keynesian flavor.Consumers’ heterogeneity, efficacy of monetary policy, rule- of-thumb.

Heterogeneous Consumers, Demand Regimes, Monetary Policy Efficacy and Determinacy

The aim of this paper is to investigate both the efficacy and the stability properties of monetary policy rules in presence of heterogeneous consumers. We aim to underline the link between the well- known Taylor Principle and the demand-policy regimes, defined on the basis of the monetary policy transmission mechanism. By developing an analytical analysis, we show that the transmission mechanism plays a key role on monetary efficacy and equilibrium determinacy.Heterogeneous consumers, liquidity constraints, determinacy, Euler equation.