Derivation of the Economy-Wide Wage-Setting Curve Equation
The economy-wide wage-setting curve equation is derived through an algebraic process that begins with the firm's no-shirking wage curve and incorporates the assumption that all firms are identical. The key step is substituting the endogenous outside option, where the expected utility from another job is , into the initial equation: . By expanding the terms and isolating , the equation is simplified to an intermediate form, . Dividing by yields the final economy-wide wage-setting curve: .
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Introduction to Microeconomics Course
The Economy 2.0 Microeconomics @ CORE Econ
Ch.6 The firm and its employees - The Economy 2.0 Microeconomics @ CORE Econ
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A government implements a new nationwide program that significantly reduces the time and expense for unemployed individuals to find new job opportunities. According to the principles underlying the economy-wide no-shirking wage model, what is the most likely impact of this program on the wage that firms must pay to prevent workers from slacking?
Analyzing the Economy-Wide No-Shirking Wage Model
Wage Setting at Innovate Corp.
The Logic of the Economy-Wide Wage Model
In an economy-wide model where all firms are identical, the no-shirking wage a single firm must pay is determined independently of the wage level set by all other firms in the economy.
In the context of the economy-wide no-shirking wage model, represented by the equation
w = τ(b + a^N) + (1 - τ)(w - c) + c + rent(s,c), match each variable or term to its correct economic interpretation.In the derivation of the economy-wide no-shirking wage equation from the general form, the term representing the expected utility a worker could get from finding another job is replaced by the ______, under the assumption that all firms in the economy are identical.
Arrange the following statements into the correct logical sequence that demonstrates how the economy-wide no-shirking wage equation is derived from the general model for a single firm.
Evaluating Determinants of the No-Shirking Wage
An economy is described by the no-shirking wage equation:
w = τ(b + a^N) + (1 - τ)(w - c) + c + rent(s,c). A new government policy is enacted that significantly increases the value of state-provided unemployment benefits. Based only on the direct effect of this policy on the components of the equation, what is the immediate consequence for the wage (w) that firms must offer to prevent shirking?Derivation of the Economy-Wide Wage-Setting Curve Equation
Derivation of the Economy-Wide Wage-Setting Curve Equation
Analyzing an Economic Organization
In an economic model where all firms are identical, an unemployed individual's 'outside option' is the net value they expect to receive from finding a new job. This value is calculated as the uniform wage paid by all firms minus the cost of effort required for the job. Suppose a new management technique is implemented across the entire economy that reduces the disutility (cost) of effort for all workers. Holding the wage constant, what is the immediate effect on the value of an unemployed person's outside option?
Impact of a Nationwide Training Program
Impact of a Nationwide Training Program
In an economic model where all firms are identical and pay the same wage, the value of an unemployed worker's next best alternative (their 'outside option') is determined solely by external factors, such as the level of government unemployment benefits.
The Nature of the Outside Option
In an economic model where all firms are identical, the expected net utility an unemployed worker gets from finding a new job is considered an 'endogenous' variable. Which of the following statements best explains why this is the case?
In an economic model where all firms are identical, the expected net utility an unemployed worker gets from finding a new job is the difference between the uniform wage and the cost of effort. If a new nationwide labor agreement increases the uniform wage by $3 per hour, but simultaneously introduces new work requirements that increase the cost of effort by an equivalent of $3 per hour, what is the net effect on this expected utility?
Calculating an Unemployed Worker's Expected Net Utility
An economist is modeling a national labor market where all firms are assumed to be identical. They make the following claim: 'In this type of market, the wage level is self-referential. The very wage that firms decide to offer becomes a key component in determining the value of an unemployed person's alternative to remaining jobless.' Which of the following principles provides the strongest support for the economist's claim?
Learn After
The Economy-Wide Wage-Setting (WS) Curve Equation
An economic model defines the wage (
w) an employer must offer to ensure an employee does not shirk their duties. The initial relationship is given by the equation:w = τ(b + a^N) + (1 - τ)(w - c) + c + rent. Arrange the following algebraic steps in the correct logical order to solve this equation forw.An economist is deriving an equation for the wage (
w) that a firm must offer to prevent employees from shirking. They begin with the following relationship and attempt to solve forw:Initial Equation:
w = τ(b + a^N) + (1 - τ)(w - c) + c + rentBelow are the steps of their derivation. Which line contains the first algebraic error?
Line 1:
w = τ(b + a^N) + w - c - τw + τc + c + rentLine 2:0 = τ(b + a^N) - τw + τc + rentLine 3:τw = τ(b + a^N) + τc + rentLine 4:w = b + a^N + c + rentAn economic model for determining the wage (
w) that prevents employee shirking starts with the equation:w = τ(b + a^N) + (1 - τ)(w - c) + c + rent. If you algebraically isolate the termτwon one side of the equation, what is the resulting expression on the other side?An initial equation for the wage (
w) needed to prevent shirking isw = τ(b + a^N) + (1 - τ)(w - c) + c + rent. This can be algebraically rearranged toτw = τ(b + a^N + c) + rent. What is the most important economic insight revealed by this specific intermediate step in the derivation?Evaluating Alternative Formulations of a Wage Model
Deriving the Wage-Setting Relationship
True or False: In the algebraic derivation of the wage-setting equation from the initial condition
w = τ(b + a^N) + (1 - τ)(w - c) + c + rent, the simplification process involves the term(1 - τ)cbeing directly cancelled out by the standalone+cterm.The derivation of the wage-setting equation begins with
w = τ(b + a^N) + (1 - τ)(w - c) + c + rent. After several algebraic steps, this can be simplified to an intermediate form whereτwis isolated on the left side. The right side of this intermediate equation isτ(b + a^N + ____) + rent. What variable or constant fills the blank inside the parentheses?Evaluating a Model Modification
Adapting the Wage Derivation for a Special Case