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EN
We consider the allocation of a finite number of homogeneous divisible items among three players. Under the assumption that each player assigns a positive value to every item, we develop a simple algorithm that returns a Pareto optimal and equitable allocation. This is based on the tight relationship between two geometric objects of fair division: The Individual Pieces Set (IPS) and the Radon–Nykodim Set (RNS). The algorithm can be considered as an extension of the Adjusted Winner procedure by Brams and Taylor to the three-player case, without the guarantee of envy-freeness.
EN
The Generalized Transportation Problem is a variant of the classical Transpor-tation Problem, where the sum of the amounts of goods delivered to the destina-tion points is different from (usually lower than) the total amount sent from the sources. The Stochastic Generalized Transportation Problem (SGTP) is a version with random demand. We present the Bi-Criteria SGTP and propose an algorithm for determining the set of effective solutions.
PL
Artykuł przedstawia wyniki analizy policy mix z wykorzystaniem niekooperacyjnej gry między władzami fiskalnymi i monetarnymi oraz modelu makroekonomicznego opartego na koncepcji nowej syntezy neoklasycznej. Dokonano estymacji modelu dla Polski w latach 2000-2014. Przeprowadzono szereg symulacji z wykorzystaniem modelu oraz systemu komputerowego wyznaczającego wypłaty gry. Przeanalizowano alternatywne policies mix w stosunku do realizowanych w przeszłości polityk: monetarnej i fiskalnej. Wyznaczono i przeanalizowano optymalne strategie odpowiedzi oraz strategie równowagi Nasha.
EN
Analysis of the policy mix is presented using a noncooperative game and a macroeconomic model formulated on the basis of the New Neoclassical Synthesis concept. The game describes interactions of the fiscal and monetary authorities. The model has been estimated for the Poland in 2000–2014. Simulations have been made using the model and the constructed computer based system calculating payoffs of the game. The fiscal and monetary policies alternative to the historical ones are shown and analyzed. The best response strategies and the Nash equilibria are derived and discussed.
EN
Planning is one of the most important aspects of project management. A project plan defines objectives, activities and timeframe for project realization. To be able to define the required timeframe for project realization it is important to prepare its schedule. The purpose of this paper is to present the project scheduling problem as a multiple criteria decision making problem and to solve it using two evolutionary algorithms: SPEA2 and an evolutionary algorithm driven by the fuzzification of Pareto dominance. A comparison of these two approaches is conducted to investigate if it is reasonable to use the fuzzification of the Pareto dominance relation in evolutionary algorithms for the multiple criteria project scheduling problem
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