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Quantum-mechanical machinery for rational decision-making in classical guessing game.

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Quantum reasoning can provide advantages in classical games without altering game rules. This approach enhances strategy generation by leveraging weak preferences, though inappropriate preferences may lead to failure.

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Area of Science:

  • Quantum Game Theory
  • Decision Theory

Background:

  • Classical game theory often requires game modification for quantum advantages.
  • Previous research suggested quantum benefits necessitate altered game settings.

Purpose of the Study:

  • To investigate if quantum advantages are achievable in classical games without modification.
  • To explore the role of internal reasoning processes in achieving quantum benefits.

Main Methods:

  • Considered a classical guessing game.
  • Defined a one-player reasoning problem within decision theory.
  • Simulated classical and quantum reasoning processes.

Main Results:

  • Demonstrated a scenario where quantum reasoning improves strategy using weak preferences.
  • Showed that quantum advantages can be gained without altering the classical game.
  • Identified potential for quantum reasoning to cause failure with inappropriate preferences.

Conclusions:

  • Quantum reasoning offers a pathway to advantages in unmodified classical games.
  • The internal decision-making process is key to leveraging quantum effects.
  • Careful consideration of preferences is crucial for successful quantum reasoning application.