Title: Fehr and Falk Wage Rigidity in a Competitive Incomplete Contract Market
1Fehr and FalkWage Rigidity in a Competitive
Incomplete Contract Market
- Economics 328
- Spring 2005
2The Golden Rule . . .What comes around goes
around!
- The traditional version is Do unto others as you
would have them do unto you. - The golden rule of how people behave appears to
be Do unto others as they have done unto you. - This helps us understand many economic phenomena
that traditional theory cannot easily explain. - Gifts from charities
- Tipping
- Bargaining
- Wages above market levels
- Understanding this golden rule helps understand
why evolution favored home sapiens over home
economicus
3Research Question
- Standard economic models predict that firms
should reduce their workers wages when there is
unemployment. - There exist numerous survey studies that firms do
not cut wages in the face of unemployment. - Firms dont take advantage of underbidding
offers by unemployed workers to work for less
than the firms going wage. - Surveys indicate that this failure to cut wages
is driven by fears that workers morale will be
hurt. - Workers will see the firm as hostile and
perceive the wage cut as an insult. - Worker will not work to their full capabilities.
- In an environment that promotes convergence to
the competitive equilibrium will a combination
of incomplete contracts and reciprocity between
employers and employees prevent convergence
4Experimental Design
- Fehr and Falk conducted a total of 6 double oral
auction markets. Each market had 7 firms and 11
workers. - Given that each firm can only employ one worker
all of the surplus should go to the firms due to
their market power. - Bids had to be improving but prices are allowed
to cross. In other words a firm can bid a wage
higher than the lowest requested wage. - Allows a firm to do a favor for a worker
- Should never be used according to standard theory
- Workers were never told the identity of the firm
they had been matched with (or vice versa). - Reciprocity vs. reputation
5Experimental Design
- After a firm and worker have agreed on a wage
the worker selects an effort level e. Because
the employer cannot specify the level of e when
it sets the wage the employment contract is
incomplete. - The firms payoff function is the following.
Note that this isnt a standard wage equation.
This functional form is used to rule out losses. - p (120 w)e
- The workers payoff is given by the following
function with costs drawn from Table 1. Notice
that effort only benefits the firm not the
worker. - U w c(e) - 20
6Experimental Design
- In the treatment sessions the worker set the
effort level. - The theoretical prediction is that workers should
always choose the minimum possible effort.
Anticipating this firms should therefore take
the entire surplus for themselves. - The possibility of positive reciprocity implies
that the firm might give the worker some of the
surplus in exchange for an effort level higher
than the minimum. - In control treatments the workers were not able
to set the effort level. - The employers payoff is (120 w) and the
employees payoff is (20 w). - The theoretical prediction is unchanged by not
allowing workers to set e. - Any scope for reciprocity is removed although
fairness concerns could still conceivably affect
wages.
7Experimental Results
- Even in the control sessions the average wage is
well above the equilibrium prediction of w 20.
The average wage decreases slightly over time. - Wages are uniformly higher in the treatment
sessions roughly double wages in the control
sessions and are rising with experience. As
such there is no reason to believe wages would
converge to the theoretical equilibrium with
greater experience.
8Experimental Results
- One possibility is that the high wages in the
treatment are driven by worker solidarity. The
presence of massive underbidding rules this out. - Similar underbidding does not occur in the
control sessions. - The occurrence of underbidding indicates that
firms are willingly paying high wages they
could hire workers for less but choose not to do
so. - Survey data indicates that in reality firms
almost always reject offers from underbidding
workers.
9Experimental Results
- Justifying firms decisions to pay higher than
necessary wages there is a strong positive
relationship between wages and effort levels. - There is a fraction of the workers (10 of 44) who
always return the minimum possible effort.
Almost all other workers have strong positive
correlation between the wage they receive and the
effort they exert. - The relationship between wage and effort is
statistically significant even controlling for
individual effects and two-sided censoring. - There is no strong relationship between the
wage-effort equation and experience.
10Experimental Results
- Just because there is a positive relationship
between wages and effort doesnt mean that
offering high wages is profit maximizing for
firms. The higher effort levels need to more
than compensate the firm for paying a higher
wage. As indicated in the figure to the right
firms clearly benefit by setting higher wages. - If anything the average wages are slightly too
low. - This result indicates that the refusal to accept
underbids is not driven by concerns for equity
but instead is a rational profit-maximizing
choice.
11Experimental Results
- The positive wage-effort relationship in the
preceding experiments is driven by positive
reciprocity. Fehr and Falk ran an additional set
of experiments designed to determine if negative
reciprocity could also lead to higher wages and a
positive relationship between wages and efforts. - The cost function shown below makes choosing the
highest effort money maximizing for workers.
This is equivalent to a setting where the firm
can closely monitor workers. - There is a small change in the firms profit
function which forces the experimenter to run a
new set of control sessions.
12Experimental Results
- Although not quite as strong as the positive
reciprocity result the ability to set efforts
clearly leads to higher wages. - Once again there is a strong positive
relationship between wages and efforts. - Wages decline over time in the control sessions
but are stable in the treatment sessions.
13Conclusions
- We have spent a great deal of time studying the
nature of fairness. This can seem very
abstract but as demonstrated in this paper can
have important practical consequences. - The presence of a strong positive relationship
between wages and effort due to positive
reciprocity implies that labor markets will
generally not converge to the competitive
equilibrium. - The standard result in economics is that the
competitive equilibrium is efficient. In these
markets the competitive equilibrium is
inefficient. By generating higher effort levels
positive reciprocity in increasing total surplus.
This is not a zero-sum game. It is possible
for employers and employees to work together and
increase the size of the pie to be split.