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Related Concept Videos

Equity Theory01:26

Equity Theory

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Equity theory explains how our sense of fairness influences the dynamics of close relationships. Rooted in social psychology, the theory posits that individuals evaluate fairness by comparing the ratio of their contributions to the rewards they receive. Relationship satisfaction is highest when these ratios are perceived as balanced between partners, promoting mutual reciprocity and a sense of justice.Equity vs. Equality in RelationshipsEquity is distinct from equality. Fairness does not...
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Introduction to Nonlinear Inequalities01:25

Introduction to Nonlinear Inequalities

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Linear and nonlinear inequalities are fundamental for analyzing variable relationships and identifying ranges satisfying specific conditions. A linear inequality involves variables raised only to the first power, resulting in a straight-line graph. This line partitions the coordinate plane into two distinct regions: one that satisfies the inequality and one that does not. Each region represents a set of solutions where the linear relationship holds true under the specified constraint.Nonlinear...
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Application of Nonlinear Inequalities01:29

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A nonlinear inequality describes a comparison involving an expression that curves or behaves more complexly than a straight line. These inequalities often appear in forms that include squares, products, or variables in the denominator.To solve such an inequality, one starts by rewriting it so that zero appears on one side. For example, the inequality:  can be factored as: This form makes it easier to identify the values that cause the expression to equal zero. In this case, the key values...
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Solving Inequalities Graphically01:24

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Solving inequalities graphically involves using a visual approach to determine where a mathematical expression meets a specific condition, such as being greater than or less than another value. By examining the position of a graph relative to the x-axis or another graph, it becomes possible to identify the range of x-values that satisfy the inequality. This method provides an intuitive understanding of solution intervals by showing where the inequality holds true.Graphical solutions to...
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Inequalities01:28

Inequalities

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Inequalities express mathematical relationships where two values are not equal and are compared using symbols such as <, >, ≤, or ≥. These expressions define a range of possible solutions rather than a single value. Interval notation provides a concise way to express these solution sets, especially when the variable spans a continuous range. An open interval, written as (a, b), excludes the endpoints, while a closed interval [a, b] includes them. There are also half-open...
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Graphical Representation of Inequalities01:28

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The graph of the equation where y equals x squared forms a curve known as a parabola. This curve acts as a boundary in the coordinate plane, dividing it into distinct regions based on the relative position of points.When the equality sign in the equation is replaced with an inequality—such as greater than, less than, greater than or equal to, or less than or equal to—the graphical representation changes from a single curve into a broader shaded area that signifies the set of all...
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Related Experiment Video

Updated: Nov 11, 2025

Automated, Quantitative Cognitive/Behavioral Screening of Mice: For Genetics, Pharmacology, Animal Cognition and Undergraduate Instruction
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Getting to a feasible income equality.

Ji-Won Park1, Chae Un Kim2

  • 1Regional Science, Cornell University, Ithaca, New York, United States of America.

Plos One
|March 30, 2021
PubMed
Summary

This study introduces feasible income equality to maximize social welfare, offering a practical alternative to the Gini coefficient for guiding government economic policies and interventions.

Area of Science:

  • Economics
  • Econometrics
  • Social Welfare Analysis

Background:

  • Income inequality poses significant challenges to economic systems.
  • The Gini coefficient is a common but idealistic measure of income inequality.
  • Existing measures lack practical guidance for policy interventions.

Purpose of the Study:

  • To propose a novel concept of 'feasible' income equality.
  • To develop a model for optimal income distribution maximizing social welfare.
  • To provide a realistic guideline for government economic policies.

Main Methods:

  • Modeling optimal income distribution using sigmoid welfare function.
  • Utilizing Boltzmann income distribution for analysis.
  • Empirical analysis of income distribution in four countries.

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Main Results:

  • Demonstration of a feasible income equality model.
  • Evaluation of optimal income distributions.
  • Validation of the proposed concept through empirical data.

Conclusions:

  • Feasible income equality offers a more realistic approach to income distribution.
  • The proposed model can serve as a practical guideline for government interventions.
  • This framework aids in optimizing social welfare through targeted economic policies.