Although the concept of utility is fundamental to many economic theories, up to now a generally accepted method determining a subject's utility function is not available. We investigated two methods that are used in economic sciences for describing utility functions by using response-locked event-related potentials in order to assess their neural underpinnings. For determining the certainty equ...

Recent studies have identified the uncertainty effect (UE), whereby risky prospects (e.g., a binary lottery that offers either a $50 or $100 gift certificate) are valued less than their worst possible outcome (a $50 certificate). This effect has been proposed to result from “direct risk-aversion” which posits that the mere uncertainty of a lottery directly decreases its value. However, this eff...

A ladder lottery, known as the “Amidakuji” in Japan, is a common way to choose an assignment randomly. Formally, a ladder lottery of a permutation π = (p1, p2, . . . , pn) is a network with n vertical lines (lines for short) and many horizontal lines (bars for short) as follows (see Fig. 1). The i-th line from the left is called line i. The top ends of the n lines correspond to π. The bottom en...

This article analyzes the factors affecting sales revenue of sports lottery from perspective innovative diffusion theory by system dynamics analysis. With quantification and simulation dynamics, is affected found. daily amount during FIFA World Cup 2018 as samples, six variables (reach frequency, adoption rate, betting among per person day, advertisement expenditure, successful potential bettor...

An infinity of gods collectively select a random natural number by each removing a finite number of balls from an urn in a reverse supertask. It is discussed whether this is an absurdity that indicates the impossibility of reverse supertasks.

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The lottery preparation, a new general kind of Laver preparation, works uniformly with supercompact cardinals, strongly compact cardinals, strong cardinals, measurable cardinals, or what have you. And like the Laver preparation, the lottery preparation makes these cardinals indestructible by various kinds of further forcing. A supercompact cardinal κ, for example, becomes fully indestructible b...