scholarly journals The Shapiro-Stiglitz Model with Non-constant Marginal Utility

2017 ◽  
Vol 1 (1) ◽  
pp. 36-48
Author(s):  
Joseph S. K. Wu ◽  
Chi Pui Ho

Abstract The Shapiro-Stiglitz model plays an important role in the employment theory. Woodford pointed out the theoretic limitation of the linear worker's utility function in that model. He questioned the model's implication of the secular decline in the unemployment rate when such rate was in fact trendless. He proposed to resolve this by allowing diminishing marginal utility of income. In this paper, the Shapiro- Stiglitz model is generalized using a nonlinear utility function implicit in the Stiglitz Efficiency-wage paper, thus linking these two well-known models. The nonlinear utility function in this generalized model not only allows for diminishing marginal utility of income but also allows for the analysis of parameters representing various factors affecting the secular unemployment rate. In particular, we can specify the condition under which the diminishing marginal utility can cause such rate to be trendless.

2019 ◽  
Author(s):  
Siddharth Garg

Objective: The aim of this paper was to examine the relationship between income, subjective wellbeing, and culture among people from a higher socio-economic class across the world. Rationale: Ed Diener proposed the law of diminishing marginal utility as an explanation for differences in subjective wellbeing among different income groups across different countries (Diener, Ng, & Tov, Balance in life and declining marginal utility of diverse resources, 2009). Thus, people with higher incomes would experience less subjective wellbeing due to income, and culture should emerge as a significant predictor. Method: Data from this study came from another study (https://siddharthgargblog.wordpress.com/2019/07/14/love-for-money/). I used an online survey to collect data on annual income in US dollars, subjective wellbeing (WHO-5), and country of residence (Indicator of Culture). 96 responses (Indians = 24, Foreigners = 72) were entered in IBM SPSS and a regression analysis was conducted. The raw dataset used in this study can be found at https://doi.org/10.6084/m9.figshare.8869040.v1Results: ANOVA showed a significant difference (p < 0.05) between Indians and foreigners on levels of subjective wellbeing. Linear regression shows the regression coefficient of culture to be significant (Beta = -.254, p = .014) but the regression coefficient of income was not found to be significant. The overall model was found to explain 8.2% of the variance in wellbeing.Conclusion: The sample of this study is too small to make any kind of generalization; it does lend a little bit of support to the idea of diminishing marginal utility of income on subjective wellbeing and provides a rationale for further research.


2021 ◽  
Vol 5 (520) ◽  
pp. 281-288
Author(s):  
O. V. Stepanova ◽  

The article is aimed at developing scientific-methodological recommendations for the integrated multi-criteria assessment of intellectual capital. Achieving this goal requires solving the following tasks: analysis of the theoretical principles of intellectual capital; analysis of intellectual capital components; analysis of methods for assessment of intellectual capital; development of a multi-criteria model of integrated assessment of intellectual capital on the basis of program-target approach and utility theory. In line with the conception of management by objectives, as well as in accordance with both the systemic and the program-target approaches, the objectives of enterprise are formulated taking into account the growth, renewal and efficient use of intellectual capital. Based on the analysis of available publications, a classification of factors affecting intellectual capital is compiled. Using the structure of intellectual capital and graph theory, the «tree of purposes» of intellectual capital is built, which represents an unoriented, bound graph, the verticals (nodes) of which are purposes, and the ribs (arcs) are the links between them. A system of criteria – indicators that affect the achievement of the objectives is formulated. As a criterion for optimality of achieving the objective, it is proposed to use the multi-criteria utility function. It is noted that in order to assess intellectual capital, it is advisable to use the additive utility function, which makes it possible to compute the integral indicator of intellectual capital. This, in turn, allows to analyze the growth, renewal and efficiency of the intellectual capital of enterprise over a number of years, as well as compare enterprises with each other.


2013 ◽  
Vol 103 (6) ◽  
pp. 2499-2529 ◽  
Author(s):  
Levon Barseghyan ◽  
Francesca Molinari ◽  
Ted O'Donoghue ◽  
Joshua C Teitelbaum

We use data on insurance deductible choices to estimate a structural model of risky choice that incorporates “standard” risk aversion (diminishing marginal utility for wealth) and probability distortions. We find that probability distortions—characterized by substantial overweighting of small probabilities and only mild insensitivity to probability changes—play an important role in explaining the aversion to risk manifested in deductible choices. This finding is robust to allowing for observed and unobserved heterogeneity in preferences. We demonstrate that neither Kőszegi-Rabin loss aversion alone nor Gul disappointment aversion alone can explain our estimated probability distortions, signifying a key role for probability weighting. (JEL D14, D81, G22)


2015 ◽  
Vol 7 (1) ◽  
pp. 17-31
Author(s):  
Rasoul Ramezanian ◽  
Akram Emdadi

In a testing session, students may want to use the information of other students, which is cheating. The authors of this paper develop an artificial society to model and simulate this situation. They consider two control factors to increase the incentive of students to not cheat. The first factor is the penalty for similarity between responses (as much as two answer-sheets of two students are the same, their final grades decrease). The second factor is the observers who look into the students and do not allow the observed students to cheat. In this model, agents participate in a test based on their level of knowledge, location and two above factors, deciding whether or not to cheat. These components are used to formulate the utility function. Taking advantage of the developed artificial society, the authors now study the above factors affecting the amount of cheating in a test session.


2015 ◽  
Author(s):  
Miles S. Kimball ◽  
Fumio Ohtake ◽  
Daniel H. Reck ◽  
Yoshiro Tsutsui ◽  
Fudong Zhang

2019 ◽  
pp. 1-46 ◽  
Author(s):  
Pascal Michaillat ◽  
Emmanuel Saez

At the zero lower bound, the New Keynesian model predicts that output and inflation collapse to implausibly low levels, and that government spending and forward guidance have implausibly large effects. To resolve these anomalies, we introduce wealth into the utility function; the justification is that wealth is a marker of social status, and people value status. Since people partly save to accrue social status, the Euler equation is modified. As a result, when the marginal utility of wealth is sufficiently large, the dynamical system representing the zero-lower-bound equilibrium transforms from a saddle to a source—which resolves all the anomalies.


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