Wybrane modele mechanizmow rynkowych oparte na prawach fizyki statystycznej i mechaniki kwantowej
SELECTED MODELS OF MARKET MECHANISMS BASED ON THE LAWS OF STATIC PHYSICS AND QUANTUM MECHANICS
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Recent research reveals that while analysing complex market mechanisms, one can notice certain quantum effects. On the other hand, the current mass-scale involvement in financial market investment activities leads to the conclusion that – when studying the operation of financial markets – the models of minority games, based on static physics, should be applied. Consequently, both quantum games and minority games have become focus of considerable interest. The financial market model, otherwise known as a minority game, postulates that the process of securities and money allocation is conditional upon price fluctuation, as well as information available in the market. Whenever a vast majority of investors intend to purchase goods and services on a massive scale, sale proves to be the more profitable option, and vice versa. The players who end up on the minority side win. Furthermore, the models based on quantum games have a certain advantage over the others, since they extend the theory of Nash equilibrium to the so-called quantum response equilibrium. The aim of this paper is to present two models of market mechanisms – of which one uses minority games as its basis, while the other – quantum games. The author begins with a discussion of the minority games model, which is followed by an analysis of the mechanism of dynamic English auction by means of the quantum theory.
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