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Related papers: What does Newcomb's paradox teach us?

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In Newcomb's paradox you choose to receive either the contents of a particular closed box, or the contents of both that closed box and another one. Before you choose though, an antagonist uses a prediction algorithm to deduce your choice,…

Computer Science and Game Theory · Computer Science 2010-10-01 David H. Wolpert Gregory Benford

This paper proposes a careful separation between an entity's epistemic system and their decision system. Crucially, Bayesian counterfactuals are estimated by the epistemic system; not by the decision system. Based on this remark, I prove…

Theoretical Economics · Economics 2020-08-11 Lê Nguyên Hoang

We show that quantum game theory offers solution to the famous Newcomb's paradox (free will problem). Divine foreknowledge is not necessary for successful completion of the game because quantum theory offers a way to discern human…

Quantum Physics · Physics 2007-05-23 E. W. Piotrowski , J. Sladkowski

The Newcomb's paradox is one of the most known paradox in Game Theory about the Oracles. We will define the graph associated to the time lines of the Game. After this Studying its topology and using only the Expected Utility Principle we…

Artificial Intelligence · Computer Science 2019-10-22 Giuseppe Giacopelli

We identify a choiceless variation of the box game paradox, in which players predict unknown real numbers with near-perfect accuracy despite lacking any useful information. We also verify that choice is necessary in the solution of the…

Logic · Mathematics 2023-01-09 Elliot Glazer

We regard the Newcomb's Paradox as a reduction of the Prisoner's Dilemma and search for the considerable quantum solution. The all known classical solutions to the Newcomb's problem always imply that human has freewill and is due to the…

Quantum Physics · Physics 2007-05-23 Dong Pyo Chi , Kabgyun Jeong

Consider the following game: You are given two indistinguishable envelopes, each containing money. One contains twice as much as the other. You may pick one envelope and keep the money it contains. Having chosen an envelope, you are given…

Probability · Mathematics 2021-01-29 Nemo Semret

Artificial intelligence (AI) is understood to affect the content of people's decisions. Here, using a behavioral implementation of the classic Newcomb's paradox in 1,305 participants, we show that AI can also change how people decide. In…

Human-Computer Interaction · Computer Science 2026-04-01 Aoi Naito , Hirokazu Shirado

In this paper, I will demonstrate a new perspective on the Two Envelope Problem. I hope to show with convincing clarity how the paradox results from an inherent problem pertaining to the interpretation of Bayesian probability. Specifically,…

Other Statistics · Statistics 2012-08-27 Eric Bliss

Parrondo's paradox arises in sequences of games in which a winning expectation may be obtained by playing the games in a random order, even though each game in the sequence may be lost when played individually. We present a suitable version…

Probability · Mathematics 2007-06-19 Antonio Di Crescenzo

In this article we will propose a completely new point of view for solving one of the most important paradoxes concerning game theory. The solution develop shifts the focus from the result to the strategy s ability to operate in a cognitive…

General Finance · Quantitative Finance 2019-07-26 Andrea Berdondini

When formulated using Bayesian networks, two standard decision algorithms (Evidential Decision Theory and Causal Decision Theory) can be shown to fail systematically when faced with aspects of the prisoner's dilemma and so-called…

Artificial Intelligence · Computer Science 2023-06-02 Alex Altair

In Newcomb's problem, causal decision theory (CDT) recommends two-boxing and thus comes apart from evidential decision theory (EDT) and ex ante policy optimisation (which prescribe one-boxing). However, in Newcomb's problem, you should…

Artificial Intelligence · Computer Science 2024-11-22 Emery Cooper , Caspar Oesterheld , Vincent Conitzer

We consider how an agent should update her uncertainty when it is represented by a set P of probability distributions and the agent observes that a random variable X takes on value x, given that the agent makes decisions using the minimax…

Artificial Intelligence · Computer Science 2014-07-29 Peter D. Grunwald , Joseph Y. Halpern

Recently, we introduced in arXiv:1105.2434 a model for product adoption in social networks with multiple products, where the agents, influenced by their neighbours, can adopt one out of several alternatives. We identify and analyze here…

Computer Science and Game Theory · Computer Science 2013-05-29 Krzysztof R. Apt , Evangelos Markakis , Sunil Simon

Bayesian networks and their accompanying graphical models are widely used for prediction and analysis across many disciplines. We will reformulate these in terms of linear maps. This reformulation will suggest a natural extension, which we…

Mathematical Physics · Physics 2015-04-01 Michael Pejic

In this work, we investigate the application of Reinforcement Learning to two well known decision dilemmas, namely Newcomb's Problem and Prisoner's Dilemma. These problems are exemplary for dilemmas that autonomous agents are faced with…

Artificial Intelligence · Computer Science 2016-10-25 Dominik Meyer , Johannes Feldmaier , Hao Shen

We propose a game-theoretic framework that incorporates both incomplete information and general ambiguity attitudes on factors external to all players. Our starting point is players' preferences on payoff-distribution vectors, essentially…

Economics · Quantitative Finance 2017-04-04 Jian Yang

Parrondo's paradox is about a paradoxical game and gambling where two probabilistic losing games can be combined to form a winning game. While the counter intuitive game is interesting in itself, it can be thought of a discrete version of…

Physics and Society · Physics 2016-02-16 Abhijit Kar Gupta , Sourabh Banerjee

Conventional noncooperative game theory hypothesizes that the joint strategy of a set of players in a game must satisfy an "equilibrium concept". All other joint strategies are considered impossible; the only issue is what equilibrium…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 David H. Wolpert
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