Quantum Games with Unawareness with Duopoly Problems in View
| Autor: | Jakub Bilski, Piotr Frąckiewicz |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
TheoryofComputation_MISCELLANEOUS
Computer science media_common.quotation_subject General Physics and Astronomy lcsh:Astrophysics Cournot competition 01 natural sciences Outcome (game theory) Article 010305 fluids & plasmas symbols.namesake quantum game Quantum games Perception lcsh:QB460-466 0103 physical sciences Common knowledge lcsh:Science 010306 general physics Duopoly quantum duopoly media_common ComputingMilieux_PERSONALCOMPUTING TheoryofComputation_GENERAL lcsh:QC1-999 game with unawareness Nash equilibrium Bertrand competition symbols lcsh:Q Mathematical economics lcsh:Physics |
| Zdroj: | Entropy Entropy, Vol 21, Iss 11, p 1097 (2019) Volume 21 Issue 11 |
| ISSN: | 1099-4300 |
| DOI: | 10.3390/e21111097 |
| Popis: | Playing the Cournot duopoly in the quantum domain can lead to the optimal strategy profile in the case of maximally correlated actions of the players. However, that result can be obtained if the fact that the players play the quantum game is common knowledge among the players. Our purpose is to determine reasonable game outcomes when players&rsquo perceptions about what game is actually played are limited. To this end, we consider a collection consisting of the classical and quantum games that specifies how each player views the game and how each player views the other players&rsquo perceptions of the game. We show that a slight change in how the players perceive the game may considerably affect the result of the game and, in the case of maximally correlated strategies, may vary from the inefficient Nash equilibrium outcome in the classical Cournot duopoly to the Pareto optimal outcome. We complete our work by investigating in the same way the Bertrand duopoly model. |
| Databáze: | OpenAIRE |
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