scholarly journals Game Theory, the Prisoner's Dilemma, and the Book of Mormon

2013 ◽  
Author(s):  
Robert Schwartz
Keyword(s):  
Game Theory ◽  
Prisoner's Dilemma ◽  
Prisoner’S Dilemma ◽  
Book Of Mormon

scholarly journals The Superiority of Quantum Strategy in 3-Player Prisoner’s Dilemma

Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1443
Author(s):  
Zhiyuan Dong ◽  
Ai-Guo Wu
Keyword(s):  
Game Theory ◽  
Prisoner's Dilemma ◽  
Prisoner’S Dilemma ◽  
Quantum Game ◽  
Final State ◽  
The Game Theory ◽  
Initial States ◽  
Quantum Strategy ◽  
Selection Of

In this paper, we extend the quantum game theory of Prisoner’s Dilemma to the N-player case. The final state of quantum game theory of N-player Prisoner’s Dilemma is derived, which can be used to investigate the payoff of each player. As demonstration, two cases (2-player and 3-player) are studied to illustrate the superiority of quantum strategy in the game theory. Specifically, the non-unique entanglement parameter is found to maximize the total payoff, which oscillates periodically. Finally, the optimal strategic set is proved to depend on the selection of initial states.

The Prisoner's Dilemma Game and Cooperation in the Rat

1984 ◽  
Vol 55 (3) ◽  
pp. 687-696 ◽  
Author(s):  
Rick M. Gardner ◽  
Terry L. Corbin ◽  
Janelle S. Beltramo ◽  
Gary S. Nickell
Keyword(s):  
Game Theory ◽  
Visual Communication ◽  
Prisoner's Dilemma ◽  
Human Subjects ◽  
Cooperative Behavior ◽  
Prisoner’S Dilemma ◽  
The Other ◽  
Prisoner’S Dilemma Game ◽  
Prisoner's Dilemma Game ◽  
Cooperative Behaviors

Cooperation in pairs of rats playing the prisoner's dilemma game was investigated. Six pairs of animals were taught to make either cooperative or uncooperative responses by running to one or the other end of a T-maze. Two T-mazes were joined together such that animals could respond simultaneously. Animals were run under conditions in which visual communication was present and absent. Mutually uncooperative responses were the most common and mutually cooperative behaviors the least preferred. Introduction of a barrier between the mazes, which removed visual communication between pairs, sharply accentuated uncooperative behavior. Similarities of the present findings to results with human subjects and the implications of using game theory for studying cooperative behavior in animals are discussed.

scholarly journals Cooperative n-person Prisoner's Dilemma on a Network

2021 ◽  
Vol 14 ◽  
pp. 122-126
Author(s):  
Aleksandra L. Grinikh ◽  
◽  
Leon A. Petrosyan ◽  
Keyword(s):  
Game Theory ◽  
Cooperative Game ◽  
Prisoner's Dilemma ◽  
Prisoner’S Dilemma ◽  
Pairwise Interaction ◽  
Network Interaction ◽  
The Game Theory

In the paper n-person prisoner's dilemma on the network is investigated. A cooperative game with the pairwise interaction of players is constructed. The model is a modification of the classic 2-person prisoner's dilemma problem in the game theory. Network interaction provide an ability to take into account the in uence only to the adjacent players from the whole set of players. The feature of the game is found that allows to make a decision about necessity of playing dominated strategy by a few players. This solution is based on the number of the adjacent players. The work is a continuation of the paper published earlier by Grinikh A.L. and Petrosyan L.A. in 2021.

Designing Practices, Institutions, and Processes

2018 ◽  
pp. 193-220
Author(s):  
Barry Hoffmaster ◽  
Cliff Hooker
Keyword(s):  
Game Theory ◽  
Prisoner's Dilemma ◽  
Institutional Design ◽  
Prisoner’S Dilemma ◽  
The Third ◽  
Ethical Design ◽  
Design Solutions

Ethics is embedded in the practices and institutions of society. Three examples illustrate the communal importance of ethical design. First is the distinction between Fights, Games, and Debates as successively more ethical and more intelligent institutional designs for handling conflict. The second is the Prisoner’s Dilemma in game theory, whose best solution is to step outside the game and change the surrounding institutional design. The third is an account of the ethical and effective institutional design solutions for various situations, especially of mediation for those that invoke the notion of ‘polycentric’ problems.

Game Theory in Business Ethics: Bad Ideology or Bad Press?

1999 ◽  
Vol 9 (1) ◽  
pp. 37-45 ◽  
Author(s):  
Kay Mathiesen
Keyword(s):  
Game Theory ◽  
Business Ethics ◽  
Human Nature ◽  
Ethical Theory ◽  
Prisoner's Dilemma ◽  
Final Section ◽  
Prisoner’S Dilemma ◽  
Human Motivation ◽  
Theory Of Human Nature ◽  
The Way

Solomon’s article and Binmore’s response exemplify a standard exchange between the game theorist and those critical of applying game theory to ethics. The critic of game theory lists a number of problems with game theory and the game theorist responds by arguing that the critic’s objections are based on a misrepresentation of the theory. Binmore claims that the game theorist is in the position of the innocent man who, when asked why he beats his wife, must explain that he doesn’t beat his wife at all (Binmore, 2). However, even if we agree that the denial is true, we might still like to know why, if you are not beating your wife, do others consistently accuse you of doing so? Or, to get away from this rather sexist metaphor, why are critics of game theory like Solomon (according to game theorists) consistently getting game theory wrong?While, as I argue in the first section, critics of game theory such as Solomon may misrepresent game theory, this misrepresentation is not entirely their own fault. The way in which game theory is traditionally presented is misleading. For example, students are usually first introduced to game theory through the prisoner’s dilemma. It is compelling drama, but lousy PR for the use of ethics in game theory. (You want to know what to do? Let’s see how two thieves reason.) However, while Binmore is right to argue that game theory neither assumes nor entails the theory of human nature that Solomon finds objectionable, Solomon is also right to argue that game theory is promulgated and applied with what appear to be a robust set of assumptions about human motivation. I argue in the second section, however, that in fact neither these applications of game theory, nor game theory itself, is committed to a particular theory of human motivation. Thus, while game theory is not able to provide a complete ethical theory (assuming that a theory of human motivation is essential to such a theory), it is not contrary to ethics. In the final section I note that Aristotle, rather than being the alternative to using game theory in business ethics, as Solomon suggests, actually points the way to an ethical theory that can combine a discussion of both game theory and “those nagging and controversial questions about what it is that people do and ought to care about” (Solomon, 7).

The Effect of Incentives: The Value of Reputation

2021 ◽  
pp. 99-118
Author(s):  
Jason Brennan ◽  
William English ◽  
John Hasnas ◽  
Peter Jaworski
Keyword(s):  
Game Theory ◽  
Prisoner's Dilemma ◽  
Prisoner’S Dilemma ◽  
Moral Goodness ◽  
Long Run ◽  
Self Interest ◽  
Reputation Effects

It is useful to model the temptation to act wrongly using the prisoner’s dilemma, one of the most important games in game theory. The prisoner’s dilemma appears to show that the pursuit of self-interest can paradoxically lead to situations in which everyone makes choices they know will undermine their self-interest. However, introducing the possibility of repeated, self-sorting prisoner’s dilemmas with reputation effects reveals something important about the connection between self-interest and morality: We have strong incentives not to cheat because in the long run, we do best by developing the reputation for being honest. However, unfortunately, this also introduces an incentive to exaggerate our moral goodness and to engage in moral grandstanding.

At Lunch with Freeman Dyson

2021 ◽  
Vol 6 (1) ◽  
Author(s):  
William Press
Keyword(s):  
Game Theory ◽  
Prisoner's Dilemma ◽  
Prisoner’S Dilemma ◽  
Prisoner’S Dilemma Game ◽  
Iterated Prisoner's Dilemma ◽  
Mathematical Game ◽  
Freeman Dyson ◽  
Prisoner's Dilemma Game ◽  
A Minor ◽  
Iterated Prisoner’S Dilemma

This is the story of a minor discovery in mathematical game theory. It concerns the prisoner’s dilemma game, which, played once, involves little strategy. But consider the iterated prisoner’s dilemma (IPD) game. In the IPD, there is information in the previous plays, which each player can use to devise a superior strategy that remains self-interested.

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