Ph.D., Economics, Yale
University, expected May 2006
M.Phil., Economics, Yale University, May 2004
M.A., Economics, New Economic School, May 2001, diploma cum laude
B.Sc. & M.Sc., Mathematics, Moscow State University, May 1999, diploma cum laude |
Yale University Dissertation
Fellowship, 2005
Cowles Foundation Prize, 2004
Summer Graduate Fellowship, Summer 2002 and 2003
Four-year Fellowship at Yale Economic Growth Center Prize, 2001
Four-year Fellowship, Department of Economics, Yale University, 2001
Don Patinkin Award for the best Diploma thesis, New Economic School, Moscow, 2001
Prof. Alexandrov Fellowship for outstanding academic performance, Moscow State Univ., 1998 |
Instructor:
Introduction to Game Theory, Yale University, Summer 2005
Introduction to Game Theory, Yale University, Summer 2004
Teaching Assistant:
Econometrics 2000-2001, New Economic School
Game Theory, Fall 2003 and Fall 2004, Yale University
Mathematical Economics, Spring 2004, Yale University
Financial Markets, Spring 2006 (expected), Yale University
Math and Science Tutor:
Yale College, 2005-2006, Tutor all undergraduate Economics and Math courses |
Shapiro Dmitry "Markets with heterogeneous
expectations and the equity premium decline," mimeo, 2005 |
Shapiro Dmitry "Separating non-monetary and
strategic motives in public good games," mimeo, Yale University |
Shapiro Dmitry "Reputation dynamics in credit
markets," mimeo, Yale University |
Vadim Marmer, Dmitry Shapiro and Paul MacAvoy "Bottlenecks in
Regional Markets for Natural Gas Transmission Services" (forthcoming "Energy
Economics") |
Anat Bracha, Jeremy Gray, Rustam Ibragimov, Boaz Nadler, Dmitry
Shapiro, Glena Ames and Donald Brown "Randomized sign tests for dependent
observations of discrete choice under risk," (Cowles Foundation Discussion Paper
No. 1526, June 2005. Submitted to "Games and Economic Behavior") |
Shapiro Dmitry "Political Incentives and
Investment Climate" (2001), NES Economic School Research Center, series "Best
Student Papers," April (2001). |
Shapiro Dmitry "Theoretical Analysis of the
Russian Privatization," Work in progress, (together with Vladimir Rokhlin and Michael
ONeil) |
|
The first chapter of my
dissertation analyzes the stock market dynamic under the presence of agents with
heterogeneous beliefs and connects it to the recently observed decline of equity premium
and assets overvaluation. While I use a behavioral approach by considering agents
with non-rational expectations, I do not exploit such asymmetric assumptions as optimistic
bias or short-sale constraints to obtain my results. The second chapter experimentally
analyzes the importance of non-monetary and strategic considerations in subjects
reasoning. The results show that such recent theories as fairness, altruism,
reciprocation, etc. have a rather modest effect and explain less than half of the
subjects deviation from payoff-maximizing behavior. The third chapter describes the
interactions between a borrower (country) and creditors (investors), where the borrower
has private information, and the loan sizes are determined endogenously by the competitive
credit market. I show that without behaviorally honest types all equilibria but one are
inefficient and result in the countrys eventual default. The result helps to explain
why developing countries often fail to establish a good reputation in order to attract
potential investors.
1. Markets with Heterogeneous Expectations and the Equity Premium Decline
As early as the 1950s, Milton Friedman argued that, since rational agents will
consistently make more money than agents with incorrect expectations, the latter will
eventually be driven out of the market and thus can be ignored. This served as a
justification for considering models where all agents have rational expectations.
Recently, however, many authors have argued that noise traders should not be disregarded
because it might take a long time before their wealth will become insignificant. Moreover,
even with negligible wealth, noise traders can have considerable impact on prices.
Following this literature many authors suggested asset market models where agents have
heterogeneous non-rational expectations about future returns. Even the simplest
deterministic models of this sort were capable of generating a complicated dynamic that
resembled the actual stock market and could explain some financial puzzles.
In the first chapter of my dissertation, I also analyze a model in which different types
of agents have different non-rational expectations about the future price and cash flows
of a risky asset. The distribution of beliefs evolves in such a way that types with higher
profit increase their market weight. We could think that either the wealth of successful
agents is increasing or that other agents adopt the beliefs of successful types. My model
is different from the literature (for example, Brock and Hommes, Econometrica 1997) in
that evolution is modeled at the level of the aggregate distribution of beliefs about
returns, not at the level of individual learning rules. At this aggregate level I can
allow for a very general class of evolution dynamics. Effectively agents can use any
individual learning techniques as long as, at the aggregate level, the change in
distribution of beliefs satisfies some natural properties such as monotonicity. This
change in modeling assumptions produces very different results.
I first show that the equilibrium price converges but that, even in the long-run,
heterogeneous beliefs survive. The main result of the paper is that, unlike in earlier
papers, the long-run equilibrium price is the risk-neutral fundamental price although all
agents are risk-averse. Even when I allow the evolution to depend on the realization of
random dividend shocks, the equilibrium price is absorbed with probability one by a
symmetric interval around the risk-neutral price. An immediate consequence of this result
is that the asset is going to be overvalued from the classical point of view, and its
excess return will be low. This result might explain the observed decline of the equity
premium in the U.S. stock market and the overvaluation of the assets. In the literature,
there are many behavioral theories of asset overvaluation. Unlike most of these, my model
provides an explanation of overvaluation that does not depend on asymmetry
assumptions such as optimistic bias and short-sale constraints.
2. Separating Non-monetary and Strategic Motives in Public Good Games
A well-established finding in experimental economics is that people tend to be
considerably more cooperative than individual payoff-maximization would suggest. Recently,
behavioral theories have addressed this issue by stressing different factors such as
fairness, altruism, reciprocity, etc. In my second essay I try to understand the
importance of these factors in peoples reasoning.I divide the theories suggested in
the literature into three groups: utility interdependence or UI (concern about
other peoples payoffs, e.g., fairness, altruism); action interdependence or
AI (subjects want to influence future opponents' decisions or to reciprocate past actions,
e.g., reciprocation, encouragement, reputation); and learning. I compare subjects'
behavior in three different treatments: a benchmark treatment; a phantom treatment when UI
and AI are not applicable; and a two-type treatment when only UI is not applicable.
The benchmark treatment is a standard public-good game, where contributing zero is a
dominant strategy. In the phantom treatment, subjects are randomly matched with the
decisions that were made in the (separate) benchmark treatment. Since the opponents do not
get any payoff and their actions cannot be influenced, it removes both UI and AI
considerations from the subjects behavior. In the two-type treatments, one type of
subjects gets a fixed payment regardless of the outcome, and the second type has a
standard payoff function, with only the opponent's type being known. Thus, when subjects
are matched with a person who gets fixed payoff they do not have UI considerations. The
advantage of the suggested treatments is that they do not change main aspects of the game
such as strategic uncertainty, information and payoff structures. The main result is that
non-monetary and strategic considerations have a rather modest effect. They explain less
than half of the over-contribution. Specifically, the removal of both AI and UI factors
decreases the over-contribution by 40% and the removal of UI considerations decreases the
over-contribution by 25% as compared to the benchmark. Something else, perhaps a lack of
understanding of the optimal strategy, must explain most of the over-contribution.
3. Reputation dynamics in Credit Market
In the third essay, I use a game-theoretical approach to investigate why countries,
governments or local authorities often fail to create a good reputation in order to
attract potential investors. I model the interactions between investors and a country as
an infinite partnership game where investors are uncertain about the country's patience
and the level of investment is set endogenously based on the investors information
and confidence about the country. The motivation of the players is standard: the country
wants to maximize its discounted wealth by choosing the best time (if ever) to default.
The investors are competitive and risk-neutral. In the equilibrium they correctly estimate
the probability of confiscation, and provide such an amount of investments that their
expected rate of return is equal to the riskless interest rate.
I show that there are three types of equilibria depending on the initial confidence level.
There is a unique efficient equilibrium when the initial confidence is high. In that case
the investment risk and the effect of incomplete information are asymptotically
eliminated, and more patient types will enjoy the efficient level of investments. For the
continuum of intermediate values of initial confidence, the level of investments grows at
first but after some point it starts to decline and all types will eventually default. For
low initial values, the investments decline from the beginning and again all types will
eventually default. The possibility of inefficient outcomes arises from the fact that all
types in the model are opportunistically rational. As the game progresses, it is revealed
that the countrys type is more and more patient. However, this knowledge per se
does not decrease the risk of investment because, even though the country is patient, it
still might prefer to default depending on the path of future payoffs. Consequently,
investors might choose low investments despite their information about the countrys
patience. The model might explain, for example, the Russian case, in which confidence and
foreign investment levels first rose and then fell leading eventually, to default (in
1998) and to alleged asset confiscation (in 2003). |