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Implication of power law distributions instead of normal ones
Background: many real-world outcomes (e.g. YT views, city populations, world frequencies) are not normally distributed
→ instead: highly skewed: a few “superstars” or outliers get extremely high values, while most have very low values
Power law distribution (Zipf’s law, Pareto)
ex. small number of yt videos get millions of views; most get very few
a few words like “the”, “and”, “of” are used much more than others
Normal distributions underestimate how extreme the “superstar” cases can be
→ For these cases, no expectation of averages or bell curves but extremes
Why do superstars exist?
Theory: demand-side choices and market distribution
Rational choices: everyone wants the best (most useful word, best video, etc.) → creates a heavy tail where a few caputure most attention (superstars)
Ex. most-used words are the most efficient to convey info
highly scalable markets (e.g. online videos) reinforce this: sucess breeds success (Zipf distribution power laws)
Optimization: consumers want high quality which cannot be substituted → winners take most
Ex. markets with scalable production (YT, books, etc.) show this most clearly
Conformity: the more people buy/use something, the more likely new buyers will do the same (“success begets sucess”/matthew effect) & there is a constant low probability of randomly buying new products
Ex. Customers sometimes randomly pick new products, allowing for “breakouts”
→ success of a product as a signaling device for high quality
Study: Bundesliga player market values
Obs: player values are highly skewed, a few stars at the top
Measures:
market value explained by both performance (goals, assists) and popularity (press citations that are not explained by performance measures)
Results:
both performance and popularity drive superstar status
1 more goal ~4% higher market value
1% more press coverage ~0.12% higher value
→ both optimization (quality) and conformity (popularity) matter
Happiness as the ultimate goal
In economics: utility = happines; people strive for well-being
→ well-being typicall measured by wages or leisure, but can also be measured directly
instruments to measure happiness:
indirectly: via labor market outcomes, health measures (depression, psychological well-being)
Directly: survey life satisfaction (e.g. SOEP socioeconomic panel, 0-10 scale)
determinants of happiness
positive correlation:
higher income
employment
more education
having a partner
negative correlation:
physical or mental illness
→ all results are similar across countries
Income and happiness
individual income is pos. correlated with life satisfaction
But over time: rising income doesn’t always mean more happiness for everyone
Easterlin Paradox:
At the aggregate level, more income doesn’t guarantee more happiness after a certain threshold
→ Higher income boosts well-being up to a point, then flattens out.
potential explanations for easterlin paradox
social comparison: people care about income relative to others (not just their own)
Ex. if everyone gets a raise, it’s less special than just you getting a raise
Evidence: social comparison is generally supported, but newer studies question it
→ Problem: hard to define the exact reference group
Potential explanation for easterlin paradox
Adaptation: Pay raises only boost happiness for a short time
→ people adapt (“hedonic treadmill”): new income level becomes the new normal
Empirical evidence:
90% adaptation within 3 years
Study: Salary Transparency and Satisfaction
Uni of California: disclosure of public employee wages online & effect on individual satisfaction
Study: Employees randomly informed about the website
Methodology: 20% of control group vs. 50% of treatment group visited the website
Results:
employees below median pay:
lower satisfaction
more likely to consider quitting or looking for a new job
no significant effects for those above the median