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Prisoner's Dilemma

Mathematics

★Exhibit Content: Principles of Game Theory ★Interaction: Electromechanical Interaction ★Operation: 1. Two-player interaction, visitors start the game simultaneously; 2. Visitors choose one of the buttons "Super Jet" and "Gentle Jet"; 3. If both choose jet, then both will be punished. ★Exhibit Description: Through fun interactive nature, intuitively demonstrate the concept of Prisoner's Dilemma, understand game theory, and it is also a recommended exhibit by KexMall. The exhibit consists of a two-player duel jet, with selection buttons "Super Jet" and "Gentle Jet" on the operation platform. The exhibit is a two-player interactive exhibit, through the two buttons "Super Jet" and "Gentle Jet", visitors can conduct experiments on the Prisoner's Dilemma. Each visitor must choose one outcome, and after choosing, they will be sprayed forcefully or gently on the face. If both players choose Super Jet, then both will be forcefully sprayed. In the repeated Prisoner's Dilemma, the game is played repeatedly. Thus, each participant has the opportunity to "punish" the other participant's non-cooperative behavior in the previous round. At this time, cooperation may emerge as an equilibrium result. The incentive to cheat may then be overcome by the threat of punishment, potentially leading to a better, cooperative outcome. ★Scientific Principle: The Prisoner's Dilemma originates from a classic game: two suspects are interrogated separately. If both deny, each gets one year; if both confess, each gets eight years; if one confesses and the other denies, the confessor is released and the denier gets ten years. In a single game, regardless of the other's choice, individual rationality drives each to confess, resulting in both getting eight years, which is worse than the one year if both denied, but Pareto improvement cannot be achieved, revealing the contradiction that individual rationality leads to collective irrationality. In repeated games, participants have the opportunity to punish non-cooperative behavior, and cooperation may become an equilibrium result. In long-term or infinite repetitions, the Nash equilibrium tends toward Pareto optimality.

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Review

Principle Display: ★★★ Interaction Effect: ★★★★ Ease of Installation: ★★★★★ Durability: ★★★★ Overall Rating: ★★★

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