Unconstrained optimization with MINTOOLKIT for GNU octave

The paper documents MINTOOLKIT for GNU Octave. MINTOOLKIT provides functions for minimization and numeric differentiation. The main algorithms are BFGS, LBFGS, and simulated annealing. Examples are given.

The structural approach of a natrex model on equilibrium exchange rates

Following a general macroeconomic approach, this paper sets a closed micro-founded structural model to determine the long run real exchange rate of a developed economy. In particular, the analysis follows the structure of a Natrex model. The main contribution of this research paper is the development of a solid theoretical framework that analyse in depth the basis of the real exchange rate and the details of the equilibrium dynamics after any shock influencing the steady state. In our case, the intertemporal factors derived from the stock-flow relationship will be particularly determinant. The main results of the paper can be summarised as follows. In first place, a complete well-integrated structural model for long-run real exchange rate determination is developed from first principles. Moreover, within the concrete dynamics of the model, it is found that some convergence restrictions will be necessary. On one hand, for the medium run convergence the sensitivity of the trade balance to changes in real exchange rate should be higher that the correspondent one to the investment decisions. On the other hand, and regarding long-run convergence, it is also necessary both that there exists a negative relationship between investment and capital stock accumulation and that the global saving of the economy depends positively on net foreign debt accumulation. In addition, there are also interesting conclusions about the effects that certain shocks over the exogenous variables of the model have on real exchange rates.

Bribe-proof rules in the division problem

The division problem consists of allocating an amount of a perfectly divisible good among a group of n agents with single-peaked preferences. A rule maps preference profiles into n shares of the amount to be allocated. A rule is bribe-proof if no group of agents can compensate another agent to misrepresent his preference and, after an appropriate redistribution of their shares, each obtain a strictly preferred share. We characterize all bribe-proof rules as the class of efficient, strategy-proof, and weak replacement monotonic rules. In addition, we identify the functional form of all bribe-proof and tops-only rules.

Learning from errors

We present a model of learning in which agents learn from errors. If an action turns out to be an error, the agent rejects not only that action but also neighboring actions. We find that, keepng memory of his errors, under mild assumptions an acceptable solution is asymptotically reached. Moreover, one can take advantage of big errors for a faster learning.

Stochastic dominance and absolute risk aversion

In this paper we propose the infimum of the Arrow-Pratt index of absolute risk aversion as a measure of global risk aversion of a utility function. We then show that, for any given arbitrary pair of distributions, there exists a threshold level of global risk aversion such that all increasing concave utility functions with at least as much global risk aversion would rank the two distributions in the same way. Furthermore, this threshold level is sharp in the sense that, for any lower level of global risk aversion, we can find two utility functions in this class yielding opposite preference relations for the two distributions.

Implementation of the Walrasian correspondence by market games

In this paper we present a set of axioms guaranteeing that, in exchange economies with or without indivisible goods, the set of Nash, Strong and active Walrasian Equilibria all coincide in the framework of market games.

Self-selection consistent functions

This paper studies collective choice rules whose outcomes consist of a collection of simultaneous decisions, each one of which is the only concern of some group of individuals in society. The need for such rules arises in different contexts, including the establishment of jurisdictions, the location of multiple public facilities, or the election of representative committees. We define a notion of allocation consistency requiring that each partial aspect of the global decision taken by society as a whole should be ratified by the group of agents who are directly concerned with this particular aspect. We investigate the possibility of designing envy-free allocation consistent rules, we also explore whether such rules may also respect the Condorcet criterion.

Algumas medidas microclimáticas, em mata da região "Bromélia-Malária", em Santa Catarina, Brasil: II - Efeito do abrigo, temperaturas extremas, amplitude térmica diária, temperatura do solo, radiação global, velocidade do vento e déficit de saturação

Em continuação a um artigo anterior (I), são apresentados os valores médios mensais das seguintes observaçõs: efeito do abrigo, temperaturas extremas, amplitude térmica diária, temperatura do solo, radiação global, velocidade do vento e déficit de saturação. O exame, dos gráficos e tabelas contidos no texto, mostra que: 1 - Enquanto em locais livremente expostos ao vento a diferença entre a temperatura lida dentro do abrigo tipo "Stevenson" e a obtida com o psicrômetro ventilado, só excepcionalmente tem significado estatístico, na mata as diferenças médias da ordem de 0,5ºC são comuns, em qualquer das horas de observação. 2 - As maiores médias das temperaturas máximas foram sempre as obtidas ao ar livre. Na mata elas são mais elevadas no vale e mais baixas no alto da elevação. 3 - As diferenças entre as temperaturas mínimas só são nítidas no inverno, quando em alguns pontos da mata elas são mais baixas e em outros mais altas do que as observadas ao ar livre. Nos meses mais frios a inversão noturna póde provocar, na mata, uma diferença médias de 3ºC para um desnível de 100 m. 4 - A não ser no vale, onde foram registrados alguns valores médios iguais aos observados aos ar livre, a amplitude térmica diária é sempre menor na mata. 5 - A evolução da curva da temperatura do solo é influenciada pela situação topográfica e pela proteção oferecida pela vegetação. 6 - A atenuação da velocidade do vento é provocada principalmente pelas copas das árvores. Abaixo dess estrato, praticamente não foi registrada variação nos valores médios da velocidade do vento. 7 - Para o estudo do estado higrométrico do ar, dentro da mata, o déficit de saturação fornece melhors informações do que a umidade relativa.

Anàlisi de l'estructura d'aprenentatge en l'ensenyament de l'educació fí­sica en l'educació obligatòria

En el present treball de recerca s'analitza l'estructura d'aprenentatge que els mestres utilitzen en diverses classes d'educació física en l'educació obligatòria. El treball s'organitza en dues parts, una primera part on s'explica què s'entén per educació física i estructura d'aprenentatge i on es relacionen els objectius generals de l'àrea amb els tipus d'estructura d'aprenentatge, individualista, competitiva o cooperativa, més adient per tal d'aconseguir-los. I una segona part on es dissenyen els instruments per a l'anàlisi de l'estructura i l'aprenentatge i s'utilitzen per l'observació de les classes de cinc mestres de cinc escoles diferents de la comarca d'Osona. En les conclusions del treball s'analitza la idoneïtat dels instruments analitzats i es constata la gran utilització de l'estructura d'aprenentatge competitiva en les classes observades.

Non compact euclidean cone 3-manifolds with cone angles less than 2∏

We study of noncompact Euclidean cone manifolds with cone angles less than c&2π and singular locus a submanifold. More precisely, we describe its structure outside a compact set. As a corol lary we classify those with cone angles & 2π/3 and those with cone angles = 2π/3.

Polynomial and linearized normal forms for almost periodic differential systems

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Hopf bifurcation for degenerate singular points of multiplicity 2n-1 in dimension 3

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Reduction of periodic difference systems to linear or autonomous ones

We extend Floquet theory for reducing nonlinear periodic difference systems to autonomous ones (actually linear) by using normal form theory.

Classes of measures generated by capacities

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