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Tytuł:
Modeling shortest path games with Petri nets: A Lyapunov based theory
Autorzy:
Clempner, J.
Powiązania:
https://bibliotekanauki.pl/articles/908393.pdf
Data publikacji:
2006
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
Nash equilibrium point
shortest path game
game theory
Lyapunov equilibrium point
Bellman’s equation
Lyapunov-like fuction
stability
teoria gier
funkcja Lapunowa
równanie Bellmana
stabilność
Opis:
In this paper we introduce a new modeling paradigm for shortest path games representation with Petri nets. Whereas previous works have restricted attention to tracking the net using Bellman’s equation as a utility function, this work uses a Lyapunov-like function. In this sense, we change the traditional cost function by a trajectory-tracking function which is also an optimal cost-to-target function. This makes a significant difference in the conceptualization of the problem domain, allowing the replacement of the Nash equilibrium point by the Lyapunov equilibrium point in game theory. We show that the Lyapunov equilibrium point coincides with the Nash equilibrium point. As a consequence, all properties of equilibrium and stability are preserved in game theory. This is the most important contribution of this work. The potential of this approach remains in its formal proof simplicity for the existence of an equilibrium point.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2006, 16, 3; 387-397
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Ustalona a preferowana kolejność ruchów w grze pojedynczej
Fixed and preferable order of moves in a single-game
Autorzy:
Laskowski, S.
Powiązania:
https://bibliotekanauki.pl/articles/317570.pdf
Data publikacji:
2007
Wydawca:
Instytut Łączności - Państwowy Instytut Badawczy
Tematy:
teoria gier
gry rynkowe
kolejność ruchów w grze
równowaga Nasha
gry Stackelberga
gra pojedyncza
gra podwójna
game theory
market games
order of market player movement
Nash equilibrium
Stackelberg games
single game
double game
Opis:
Przeanalizowano dwuosobowe gry o sumie niezerowej pod kątem preferowanej dla graczy kolejności ruchów, ich związku z faktem istnienia lub nieistnienia równowagi Nasha, związku z modelami gry Stackelberga oraz konieczności wykonywania ruchów w określonej kolejności.
An analyses of two-person non-zero sum games in the context of preferable order of the players moves, and their relationship with the fact of existing or non existing Nash equilibrium, with the models of Stackelberg games and with the necessity of making a move in a given order was made.
Źródło:
Telekomunikacja i Techniki Informacyjne; 2007, 3-4; 10-29
1640-1549
1899-8933
Pojawia się w:
Telekomunikacja i Techniki Informacyjne
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Etyka biznesu a naganne powszechne praktyki
Business Ethics and Common Blameworthy Practices
Autorzy:
Kucharski, Jarosław
Powiązania:
https://bibliotekanauki.pl/articles/469070.pdf
Data publikacji:
2009
Wydawca:
Polska Akademia Nauk. Instytut Filozofii i Socjologii PAN
Tematy:
blameworthy practices
business ethics,
orruption
game theory
Pareto’s optimum
Nash equilibrium
fairness
Opis:
The aim of this article is to examine how a businessman, who takes care about moral considerations should behave in some situations, in which some blameworthy common practices are present. There is a dilemma between efficiency (or even continuing existence) of business on one side and moral considerations on the other. The proposition formulated by R. M. Green is analyzed and criticized. The „everyone is doing it” argument is rejected., as well as the requirements coming from moral absolutism. In the end an argument based on writings of T. Carson, J. G. Dees and P. C. Crampton, which shows the proper way of moral behaviour where such dilemmas are met, is presented.
Źródło:
Prakseologia; 2009, 149; 241-252
0079-4872
Pojawia się w:
Prakseologia
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Minority Game and Quantum Game Theory
Gra Mniejszościowa I Kwantowa Teoria Gier
Autorzy:
Bolonek, Katarzyna
Powiązania:
https://bibliotekanauki.pl/articles/906291.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
minority game
quantum game theory
Nash equilibrium
Opis:
Artykuł zawiera propozycje procedur kwantowania gier dobrze znanych w klasycznej teorii gier. Przedstawiono proste modele gier kwantowych. Jako pierwszy został omówiony dylemat więźnia zarówno w wersji klasycznej jak i kwantowej, który ma wiele praktycznych zastosowań w ekonomii, jednym z przykładów są oszustwa w porozumieniach kartelowych. Kolejnym modelem gry kwantowej jest kwantowa gra rynkowa opisana za pomocą kwantowego oscylatora harmonicznego. Jako ostatni został omówiony model kwantowej gry mniejszościowej.
This paper builds up on proposed convincing procedures telling how to quantize well-known games from the classical game theory. The thesis introduces some simple models of quantum games. At first, the prisoners’ dilemma in classical and quantum version is described. This simple model has many practical applications in economics, one example being frauds in cartel agreements. The next model of quantum game is the quantum market game, described with the help of the quantum harmonic oscillator. It is known that quantum algorithms may be thought of as the games between classical and quantum agents; therefore, as the last example the quantum minority game is introduced.
Źródło:
Acta Universitatis Lodziensis. Folia Oeconomica; 2009, 228
0208-6018
2353-7663
Pojawia się w:
Acta Universitatis Lodziensis. Folia Oeconomica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Meanders of the Theory of Social Choice
Autorzy:
Sosnowska, Honorata
Powiązania:
https://bibliotekanauki.pl/articles/942373.pdf
Data publikacji:
2010
Wydawca:
Szkoła Główna Handlowa w Warszawie
Tematy:
theory of general equilibrium
microeconomics
theory of social choice
Źródło:
Warsaw Forum of Economic Sociology; 2010, 1, 1; 187-191
2081-9633
Pojawia się w:
Warsaw Forum of Economic Sociology
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Cooperative games with incomplete information for Secondary Base Stations in cognitive radio networks
Autorzy:
Martyna, J.
Powiązania:
https://bibliotekanauki.pl/articles/308673.pdf
Data publikacji:
2013
Wydawca:
Instytut Łączności - Państwowy Instytut Badawczy
Tematy:
Bayesian equilibrium
cognitive radio networks
game theory
wireless communication
Opis:
Cognitive radio (CR) technology is considered to be an effective solution for enhancing overall spectrum efficiency. Using CR technology fully involves the providing of incentives to Primary Radio Networks (PRNs) and revenue to the service provider so that Secondary Base Stations (SBSs) may utilize PRN spectrum bands accordingly. In this paper, a cooperative games with incomplete information for SBSs in a CR network is presented. Each SBS can cooperate with neighboring SBSs in order to improve its view of the spectrum. Moreover, proposed game-theory models assume that the devices have incomplete information about their components, meaning that some players do not completely know the structure of the game. Using the proposed algorithm, each SBS can leave or join the coalition while maximizing its overall utility. The simulation results illustrate that the proposed algorithm allows us to reduce the average payoff per SBS up to 140% relative to a CR network without cooperation among SBSs.
Źródło:
Journal of Telecommunications and Information Technology; 2013, 3; 106-111
1509-4553
1899-8852
Pojawia się w:
Journal of Telecommunications and Information Technology
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On ”Games and Dynamic Games” by A. Haurie, J.B. Krawczyk and G. Zaccour
Autorzy:
Więcek, Piotr
Powiązania:
https://bibliotekanauki.pl/articles/748451.pdf
Data publikacji:
2013
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
game theory, dynamic games, equilibrium
Opis:
Although the title, ''Games and Dynamic Games"  of the new book by Alain Haurie, Jacek B. Krawczyk and Georges Zaccour suggests just another textbook on general game theory, with a little more stress made on dynamic aspect of games, the book appears to be something of novelty both in the scope and the treatment of the material. From the very first chapters of the book, it is clear that we will not be given another standard course of game theory, and that the dynamics of games will be the main issue. It starts with the simplest treatment of game dynamics, which is the extensive form of the game, and, having defined and explained the basic notions of static game theory, progresses to more complex dynamic models. Those start with deterministic repeated games, continue with variable state discrete time (or multistage) dynamic games and deterministic differential (that is, continuous time) games, and finish with stochastic models extending the ones presented before. Each part presents in a self-contained and comprehensive way, the main notions and solution concepts (such as open- and closed-loop strategies, Nash and correlated equilibria, subgame-perfectness, using threats to improve the performance of the equilibrium strategies) and theoretical results. It complements them with a number of economic applications, presented in detail. These applications relate to many fields of interest of economists, such as exploitation of renewable resources, environmental and energy issues, macroeconomics and finance. Each chapter ends with a set of excercices and a {\it game engineering} part, where a detailed presentation of a real-life application of some relevant game model is presented. Just this part is a novelty in the game-theoretic literature, as it shows to what extent the game-theoretic models can be applicable. Although the book presents the mathematical tools to model the situations of conflict in a rather rigorous way, it is clear that its target reader is someone with a background in economics or managemant science rather than mathematics. All the basic mathematical concepts used in the book are carefully explained, with those more complex ones (which appear in the latter chapters of the book) approached mainly through examples and intuitions. I believe this is a good decision of the authors, as in that way it makes the book really accessible to its potential readers. In fact, even though the tools (even those most advanced) of dynamic game theory have now been for many years used to model the economic interactions, surprisingly there has not been a single textbook addressed to more advanced students and researchers in economics and management science, presenting the state-of-art in the theory and applications of dynamic games in a comprehensive way. Those already existing required mathematical expertise well beyond what one could expect from typical economics/management students, and could not serve as textbooks for this type of readers. Moreover, those existing books concentrated without exception on some particular classes of dynamic games (such as differential games and their subclasses, stochastic games, repeated games). The book of Haurie, Krawczyk and Zaccour fills well the existing gap.Another important advantage of the book is its stress made not only on theoretical concepts and their adoption in real-life models, but on computation issues. The authors present a host of techniques to compute the solutions to the considered games either symbolically or numerically. They also provide information about software that can be used to solve similar games. Also the examples presented in game engineering sections are not abstract. They are based on real data, and issues of the credibility of the solutions obtained is discussed.The clarity of the exposition of often complicated topics is in general a big advantage of the book, although in latter chapters this clarity is sometimes unfortunatelly lost. The best example is the part about games over event trees with a confusing introduction concerning game with finite action sets and then the whole chapter concerning games with continuous ones. Also the last chapter, about stochastic-diffusion games, seems not very well conceived, as it jumps forth and back between an example and some more general considerations, leaving the reader confused about the generality of what is presented. These are certainly minor problems, but unfortunatelly there are other, more upseting issues. In general, it seems that the manuscript was not proofread carefully enough. The number of typos is enormous (the errata added to the book enumerates just a small fraction). Also some other faults, such as references to the colors on one of the figures, which is in black and white (p. 187), self-contradicting sentences like ''We use $\beta$ for a discount factor because we use $\beta$ to denote a strategy'' (p. 233), faults in references between chapters of the book (p. 372, footnote on p. 419) could have been easily eliminated if the book was properly proofread. What is worse though, is that there are also some more serious mistakes: one of the assumptions of the Kakutani fixed point theorem is missing, $\epsilon$-Nash equilibrium in Lemma 10.1 should be $A\epsilon$-equilibrium. And finally---it seems that most of the section 11.6.1 is missing from the manuscript. This significantly reduces the value of the book. Nevertheless, although I believe that all these errors should make the reader more cautious when reading the book, they do not unmake its main quality, which is acquainting all those interested in describing some real-life multi-agent economic situations in a rigorous way with the theory which provides the tools for doing it.
Źródło:
Mathematica Applicanda; 2013, 41, 1
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
USEFUL GOVERNMENT EXPENDITURE INFLUENCE ON THE SHADOW ECONOMY
Autorzy:
Malaczewska, Paulina
Powiązania:
https://bibliotekanauki.pl/articles/452927.pdf
Data publikacji:
2013
Wydawca:
Szkoła Główna Gospodarstwa Wiejskiego w Warszawie. Katedra Ekonometrii i Statystyki
Tematy:
shadow economy
useful government expenditure
game theory
Nash equilibrium
Opis:
This paper contains the attempt to describe the phenomenon of shadow economy as a zero-sum non-cooperative, normal form game between households and the government. In the model government spending can be treated as a government consumption or as an expenses that contribute to increased social welfare and for the provision of public goods and services. We conduct sensitivity analysis of Nash equilibrium in models with two different types of government expenditure and examine whether proposed models indicate a various mechanisms and determinants of the undeclared economic activity.
Źródło:
Metody Ilościowe w Badaniach Ekonomicznych; 2013, 14, 2; 61-69
2082-792X
Pojawia się w:
Metody Ilościowe w Badaniach Ekonomicznych
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A game theoretical study of generalised trust and reciprocation in Poland. I. Theory and experimental design
Autorzy:
Markowska-Przybyła, U.
Ramsey, D.
Powiązania:
https://bibliotekanauki.pl/articles/406367.pdf
Data publikacji:
2014
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
experimental game theory
Bayesian equilibrium
trust
reciprocation
eksperymentalna teoria gier
równowaga Bayesa
zaufanie
wzajemność
Opis:
Although studies using experimental game theory have been carried out in various countries, no such major study has occurred in Poland. The study described here aims to investigate generalised trust and reciprocation among Polish students. In the literature, these traits are seen to be positively correlated with economic growth. Poland is regarded as the most successful post-soviet bloc country in transforming to a market economy but the level of generalised trust compared to other postcommunist countries is reported to be low. This study aims to see to what degree this reported level of generalised trust is visible amongst young Poles via experimental game theory, along with a questionnaire. The three games to be played have been described. Bayesian equilibria illustrating behaviour observed in previous studies have been derived for two of these games and the experimental procedure has been described.
Źródło:
Operations Research and Decisions; 2014, 24, 3; 59-76
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Berge equilibrium in discontinuous games
Autorzy:
Deghdak, M.
Powiązania:
https://bibliotekanauki.pl/articles/206586.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
Berge equilibrium
game theory
discontinuous games
abstract games
Opis:
In this paper we consider some classes of abstract discontinuous games, for which the games possessing essential Berge equilibrium are the generic case. We extend the essential Berge equilibrium result from Deghdak (2014) to general abstract games.
Źródło:
Control and Cybernetics; 2014, 43, 3; 439-448
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
How Quantum Prisoner’s Dilemma Can Support Negotiations
Autorzy:
Szopa, Marek
Powiązania:
https://bibliotekanauki.pl/articles/430038.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet w Białymstoku. Wydawnictwo Uniwersytetu w Białymstoku
Tematy:
game theory
quantum game
prisoner’s dilemma
Nash equilibrium
Pareto optimal solutions
Opis:
Decision-making by the two negotiating parties is simulated by a prisoner’s dilemma game. The game is formulated in a quantum manner, where players strategies are unitary transformations of qubits built over the basis of opposite decision options. Quantum strategies are correlated through the mechanism of quantum entanglement and the result of the game is obtained by the collapse of the resulting transformed state. The range of strategies allowed for quantum players is richer than in case of a classical game and therefore the result of the game can be better optimized. On the other hand, the quantum game is save against eavesdropping and the players can be assured that this type of quantum arbitration is fair. We show that quantum prisoner’s dilemma has more favorable Nash equilibria than its classical analog and they are close to the Pareto optimal solutions. Some economical examples of utilizing quantum game Nash equilibria are proposed.
Źródło:
Optimum. Economic Studies; 2014, 5(71)
1506-7637
Pojawia się w:
Optimum. Economic Studies
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A process algebraic form to represent extensive games
Autorzy:
Gheibi, O.
Ramezanian, R.
Powiązania:
https://bibliotekanauki.pl/articles/205871.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
extensive games
Nash equilibrium
process theory
process algebra
Opis:
In this paper, we introduce an agent-based representation of games, in order to propose a compact representation for multi-party games in game theory. Our method is inspired by concepts in process theory and process algebra. In addition, we introduce an algorithm whose input is a game in the form of process algebra (proposed in this paper) and as an output, the algorithm finds the Nash equilibrium of the game in linear space complexity.
Źródło:
Control and Cybernetics; 2015, 44, 1; 129-148
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis of Ineffectiveness Arising in “Investor-government” Relations
Autorzy:
Sokolovskyi, Dmytro B.
Sokolovska, Olena V.
Powiązania:
https://bibliotekanauki.pl/articles/417302.pdf
Data publikacji:
2015-09-15
Wydawca:
Akademia Leona Koźmińskiego w Warszawie
Tematy:
investors
Pareto-optimality
modeling
Game Theory
Nash equilibrium
Government
economic behavior
Opis:
Purpose: This article deals with the problem of forming Pareto non-optimal norms of mutual behavior of investors and government in the process of decision-making related to financing designed to reduce risks in investment activity. Methodology: Considering the interdependent type (nature) of interactions between related parties, game theory tools were used to model such interactions. Much attention was directed to search for� parameters of interaction leading to certain Nash equilibriums in pure strategies. The formal results obtained with the model were verified by statistical analysis. Findings: Analysis showed that the rational behavior of related parties can lead to unexpected results. Powerful investors will aim to work in socially-oriented economies, whereas primarily small investors will operate in most liberal economies with a�minimum tax burden but with a�higher level of risk. As for governments’ behaviors, the images are the same: small economies tend to liberalize their tax systems and to secure investment faster than powerful ones. Empirical verification based on statistical data of groups of countries generally confirmed the conclusions. These formal and logical conclusions were from statistical analysis of 124 countries divided into 5 groups: OECD countries, post-socialist countries, Latin American countries, APAC countries and ACP countries. Provided that the more powerful ones are covered economies, there was stronger interdependence between the size of economies and tax burden and also between total investment and tax burden, where this dependence is positive. Originality: The results obtained used Nash equilibriums in pure strategies as models of behavioral norms to define behaviors of related parties and also to explain assumptions concerning the behaviors of investors and government.
Źródło:
Management and Business Administration. Central Europe; 2015, 3; 47-70
2084-3356
Pojawia się w:
Management and Business Administration. Central Europe
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Po co matematykom Jan Jakub Rousseau?
Why do mathematicians need Jean-Jacques Rousseau?
Autorzy:
Kalinowska, Alina
Stański, Adam
Powiązania:
https://bibliotekanauki.pl/articles/1388538.pdf
Data publikacji:
2015-09-30
Wydawca:
Uniwersytet Gdański. Wydawnictwo Uniwersytetu Gdańskiego
Tematy:
Game Theory
Competitive game
Cooperative games
Nash equilibrium
Pareto efficiency
Opis:
One day, Jean-Jacques Rousseau, who was known mainly as a philosopher and a pedagogue, told a deer hunting story. In doing so, he managed to play a small role in the development of the branch of maths called ‘game theory’. Later his story was converted into a game. Initially game theory was used to explain exchange in the field of economics. Over time, the mathematical modeling was found to be useful in the social sciences. A game theory describes diverse and cognizant participants forced to make decisions. In regards to the game based on cooperation, a choice is at the same time a dilemma. It can be viewed as a moral or philosophical predicament and in addition it gives as an inside into the human psyche and behaviour. Game theory has the potential to offer an attractive mathematical model, useful in analyzing social interactions. Though currently unappreciated by pedagogy, it has the potential to be successfully used in pedagogical studies analyzing conflict of interest of all participants in an educational process.
Źródło:
Problemy Wczesnej Edukacji; 2015, 30, 3; 121-125
1734-1582
2451-2230
Pojawia się w:
Problemy Wczesnej Edukacji
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Reconciling Incrementalism with Policy Change. The Punctuated Equilibrium Theory in Political Science
Łącząc inkrementalizm ze zmianą polityczną. Teoria przerywanej równowagi w naukach o polityce
Autorzy:
Czapiewski, Tomasz
Powiązania:
https://bibliotekanauki.pl/articles/1953206.pdf
Data publikacji:
2015-12-31
Wydawca:
Wydawnictwo Adam Marszałek
Tematy:
theory of politics
policy process
public policy
policy change
punctuated equilibrium theory
Opis:
The aim of this article is to explain current definition and application of punctuated equilibrium theory, which is as influential as any conceptual framework concerning policy process in political science, stimulating thought and research over the last two decades. Baumgartner and Jones borrowed the concept from studies of the evolution of species, but – as author shows – without operationalized definition, and turned it into a metaphor that can have mostly pedagogical use. Author explains how punctuated equilibrium is useful for analyzing policy change in political systems other than the United States, but in the European political systems, political parties and their preferences must be taken into account. It is also presented how punctuated equilibrium is in fact a much-improved version of the incrementalism theory, rather than an application of biological insights to politics. Author differentiate successful application of the punctuated equilibrium in the description of the policy process from the explanation of Baumgartner and Jones about how those identified patterns in modern democracies were caused.
Celem artykułu jest wyjaśnienie aktualnej definicji i pozycji teorii przerywanej równowagi, która jest jednym z najbardziej wpływowych podejść badawczych dotyczących procesu politycznego w naukach o polityce, stymulując koncepcje i badania przez ostatnie dwie dekady. Baumgartner i Jones inkorporowali pojęcie z badań nad ewolucją gatunków, ale – jak wskazuje autor artykułu – pozbawiając go pierwotnej operacjonalizacji, zamieniając w metaforę o bardziej pedagogicznym walorze. Autor wyjaśnia, jak teoria przerywanej równowagi jest przydatna w analizie zmiany politycznej w systemach politycznych innych niż Stany Zjednoczone, ale w europejskich systemach politycznych konieczne jest uwzględnienie roli partii politycznych i ich preferencji. Zaprezentowano także, jak teoria jest faktycznie raczej znacznie poprawioną wersją teorii inkrementalizmu niż wykorzystaniem dorobku biologii w polityce. Autor odróżnia także pełną sukcesów aplikację teorii, która opisuje rzeczywistość procesu politycznego, od wyjaśnień i związków przyczynowych, które zdaniem Baumgartnera i Jonesa taki przebieg procesu zdeterminowały.
Źródło:
Athenaeum. Polskie Studia Politologiczne; 2015, 48; 37-50
1505-2192
Pojawia się w:
Athenaeum. Polskie Studia Politologiczne
Dostawca treści:
Biblioteka Nauki
Artykuł
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