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The Sleeping Beauty problem is a problem of imperfect recall that has received considerable attention. One approach to solving the Sleeping Beauty problem is to allow Sleeping Beauty to make decisions based on her beliefs, and then…

综合金融 · 定量金融 2026-01-23 Ben Abramowitz

The way a rational agent changes her belief in certain propositions/hypotheses in the light of new evidence lies at the heart of Bayesian inference. The basic natural assumption, as summarized in van Fraassen's Reflection Principle…

人工智能 · 计算机科学 2008-06-10 Berry Groisman

In the context of the Sleeping Beauty problem, it has been argued that so-called "halfers" can avoid Dutch book arguments by adopting evidential decision theory. I introduce a Dutch book for a variant of the Sleeping Beauty problem and…

其他统计学 · 统计学 2017-05-11 Vincent Conitzer

The Sleeping Beauty problem is a probability riddle with no definite solution for more than two decades and its solution is of great interest in many fields of knowledge. There are two main competing solutions to the problem: the halfer…

历史与综述 · 数学 2024-03-26 Paulo S. Piva , Gabriel Ruffolo

The Sleeping Beauty Problem remains a paradoxical problem that penetrates multiple disciplines that include probability theory, self-locating belief, decision theory, cognitive science, the philosophy of mathematics and science. It asks the…

物理与社会 · 物理学 2023-12-14 Hutan Ashrafian

At the beginning of a dynamic game, players may have exogenous theories about how the opponents are going to play. Suppose that these theories are commonly known. Then, players will refine their first-order beliefs, and challenge their own…

计算机科学与博弈论 · 计算机科学 2017-07-28 Emiliano Catonini

The Sleeping Beauty Problem (SBP) is a long-standing puzzle in classical probability theory and has been used to challenge the Many-Worlds Interpretation (MWI) of quantum mechanics, since both involve objective determinacy combined with…

量子物理 · 物理学 2026-03-05 Jiaxuan Zhang

How should we update de dicto beliefs in the face of de se evidence? The Sleeping Beauty problem divides philosophers into two camps, halfers and thirders. But there is some disagreement among halfers about how their position should…

其他统计学 · 统计学 2016-10-19 Vincent Conitzer

There is a long history in game theory on the topic of Bayesian or "rational" learning, in which each player maintains beliefs over a set of alternative behaviours, or types, for the other players. This idea has gained increasing interest…

人工智能 · 计算机科学 2016-03-03 Stefano V. Albrecht , Jacob W. Crandall , Subramanian Ramamoorthy

This paper sets out to resolve how agents ought to act in the Sleeping Beauty problem and various related anthropic (self-locating belief) problems, not through the calculation of anthropic probabilities, but through finding the correct…

数据分析、统计与概率 · 物理学 2017-09-21 Stuart Armstrong

This paper examines games with strategic complements or substitutes and incomplete information, where players are uncertain about the opponents' parameters. We assume that the players' beliefs about the opponent's parameters are selected…

理论经济学 · 经济学 2025-01-28 Joep van Sloun

In quantum game theory, one of the most intriguing and important questions is, "Is it possible to get quantum advantages without any modification of the classical game?" The answer to this question so far has largely been negative. So far,…

量子物理 · 物理学 2016-02-16 Jeongho Bang , Junghee Ryu , Marcin Pawłowski , B. S. Ham , Jinhyoung Lee

In this paper, we make a review on the concepts of rationality across several different fields, namely in economics, psychology and evolutionary biology and behavioural ecology. We review how processes like natural selection can help us…

人工智能 · 计算机科学 2018-12-03 Catarina Moreira

We investigate how distorted, yet structured, beliefs can persist in strategic situations. Specifically, we study two-player games in which each player is endowed with a biased-belief function that represents the discrepancy between a…

理论经济学 · 经济学 2020-06-30 Yuval Heller , Eyal Winter

The Sleeping Beauty problem is a puzzle in probability theory that has gained much attention since Elga's discussion of it [Elga, Adam, Analysis 60 (2), p.143-147 (2000)]. Sleeping Beauty is put asleep, and a coin is tossed. If the outcome…

概率论 · 数学 2024-08-14 Laurens Walleghem

Although many investigators affirm a desire to build reasoning systems that behave consistently with the axiomatic basis defined by probability theory and utility theory, limited resources for engineering and computation can make a complete…

人工智能 · 计算机科学 2013-04-11 Eric J. Horvitz

The dominant theories of rational choice assume logical omniscience. That is, they assume that when facing a decision problem, an agent can perform all relevant computations and determine the truth value of all relevant logical/mathematical…

人工智能 · 计算机科学 2023-07-12 Caspar Oesterheld , Abram Demski , Vincent Conitzer

The general use of subjective probabilities to model belief has been justified using many axiomatic schemes. For example, ?consistent betting behavior' arguments are well-known. To those not already convinced of the unique fitness and…

人工智能 · 计算机科学 2013-03-25 Paul Snow

The rational choice theory is based on this idea that people rationally pursue goals for increasing their personal interests. In most conditions, the behavior of an actor is not independent of the person and others' behavior. Here, we…

计量经济学 · 经济学 2018-02-27 Madjid Eshaghi Gordji , Gholamreza Askari

Rationalization empowers deep learning models with self-explaining capabilities through a cooperative game, where a generator selects a semantically consistent subset of the input as a rationale, and a subsequent predictor makes predictions…

人工智能 · 计算机科学 2023-12-18 Wei Liu , Haozhao Wang , Jun Wang , Zhiying Deng , YuanKai Zhang , Cheng Wang , Ruixuan Li
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