VINCENT P. CRAWFORD
Department of Economics
University of California, San Diego
9500 Gilman Drive
La Jolla, CA 92093-0508
(858) 534-3452
(858) 534-3383 messages
(858) 534-7040 fax
e-mail: vcrawfor
"at" dss.ucsd.edu
On 1 January 2010 I begin
appointments as Professorial Fellow of All
Souls College and Drummond Professor of Political Economy, Department of Economics, University of Oxford. New contacts will
be posted before the move; please continue to use the above contacts until
then. At that time I
will transfer to emeritus status at UCSD, where I will still be in residence
periodically for part of each year, with dates to be posted here.
2003 Photo by Zoe Crawford at right
(click to enlarge)
2009 students on the job market: Ben Gillen, Jaimie Lien, Juanjuan
Meng, Bryan Tomlin
Please
scroll down for curriculum vitae, older downloadable
papers, recent papers and presentations on behavioral labor economics and
behavioral and experimental game theory, press, links, and photos
Courses in 2009 – 2010
(includes "A Game of Fair Division," Review
of Economic Studies 44 (June 1977), now a major motion picture!)
Recent Papers and Presentations (download free Foxit
Reader for pdf files; read Preston McAfee
on why it's better (it is: a lot) and on the also-free PDF Forge Creator
to make your own pdf files)
Behavioral labor economics
Vincent P.
Crawford and Juanjuan Meng, "New York City Cabdrivers’ Labor Supply Revisited:
Reference-Dependent Preferences with Rational-Expectations Targets for Hours
and Income",
revised 16 July 2009
Original version of paper, 23 July 2008
Original version of Lecture
Slides, 23 July 2008

Behavioral and experimental game theory
Vox, Center
for Economic Policy Research, August 2008 interview by Romesh
Vaitilingam on "Behavioural
game theory: how real people think in strategic interactions"
(audio only)
Miguel A. Costa-Gomes, Vincent P. Crawford, and Nagore Iriberri, "Comparing Models of Strategic
Thinking in Van Huyck, Battalio, and Beil’s Coordination Games,"
Journal of the European Economic Association 7 (2009), 365-376;
presented in the session, "Limited Cognition, Strategic Thinking, and
Learning", Milan EEA-ESEM Meetings,
27 - 31 August 2008; previous version
Web appendix: "Limiting LQRE as a
Model of Limiting Outcomes in Van Huyck, Battalio, and Beil’s
Coordination Games"
Vincent P. Crawford, Tamar Kugler,
Zvika Neeman, and Ady Pauzner, "Behaviorally Optimal Auction
Design: An Example and Some Observations," Journal of the European
Economic Association 7 (2009), 377=387; presented in the session,
"Limited Cognition, Strategic Thinking, and Learning", Milan EEA-ESEM Meetings, 27-31 August
2008; previous
version
Vincent Crawford, "Modeling
Behavior in Novel Strategic Situations via Level-k Thinking"
Lecture slides (there is no paper yet), presented in the Marketing Seminar,
Haas School of Business, University of California, Berkeley, 3 April 2008; the
Applied Micro Theory Workshop, University of Pennsylvania, 28 April 2008; and
at GAMES 2008, Third World Congress of the Game Theory Society, 14 July
2008
Vincent Crawford, Uri
Gneezy, and Yuval
Rottenstreich, “The
Power of Focal Points is Limited: Even Minute Payoff Asymmetry May Yield Large
Coordination Failures,” American Economic Review 98 (2008), in
press; Web
Appendix (pdf)
(This paper is an extensive revision of Gneezy and Rottenstreich, “The Power of Focal Points
is Limited: Even Minute Payoff Asymmetry yields Massive
Coordination Failures,” 2005.)

Framing the game in our "
with the
Vincent P.
Crawford, "Level-k Thinking"
Lecture slides (there is no paper yet), presented at the
2007 North American Meeting of the Economic Science Association, Tucson, October
18-21
Vincent P.
Crawford, Preliminary
version of "Let’s Talk It Over: Coordination Via Preplay
Communication With Level-k Thinking"and Lecture Slides, presented at the 26th Arne Ryde
Symposium, “Communication in Games and Experiments,” 24-25
August 2007, Lund, Sweden (poster)
Vincent P. Crawford and Nagore Iriberri, "Level-k Auctions: Can a Non-Equilibrium
Model of Strategic Thinking Explain the Winner's Curse and Overbidding in
Private-Value Auctions?," Econometrica 75
(November 2007), 1721–1770; Final
version of Web Appendix with detailed calculations
and other supporting materials; Lecture
slides (ppt)
Previous
version, July 2006; Previous version,
November 2005 (this version extends our
October 2005 specification of truthful level-k types to allow L0 to condition
on its own information in a more sensible way, which changes the model's
predictions for Avery and Kagel's (1997) design; and corrects an error in our
derivation of the implications of random level-k types in Goeree, Holt,
and Palfrey's (2002) design); First version,
October 2005
Vincent P.
Crawford and Nagore Iriberri,
"Fatal Attraction: Salience,
Naivete, and Sophistication in Experimental Hide-and-Seek Games," American
Economic Review 97 (December 2007), 1731-1750; Web
Appendix (pdf); Data Appendix (zip); Lecture slides (ppt)
Presented as SESS Student
Previous version, February 2006; Previous version, January 2005; Previous version, September
2004; Preliminary
version, June 2004
Reference (without screen credit, and with no real appreciation
of the importance of level-k thinking...) on 2005 episode of the CBS
series Numb3rs, "Assassin," first aired 10/21/2005 (courtesy of
William Nguyen Phan; YouTube
Clip; Text;
Moriarti Comment)
Charlie: Hide and seek.
Don: What are you talking about, like the kids’ version?
Charlie: A mathematical approach to it, yes. See, the assassin must hide
in order to accomplish his goal, we must seek and find the assassin before he
achieves that goal.
Megan: Ah, behavioral game theory, yeah, we studied this at
Charlie: I doubt you studied it the way that Rubinstein, Tversky and
Heller studied two person constant sum hide and seek with unique mixed strategy
equilibria.
Megan: No, not quite that way.
Don: Just bear with him.
Thoughts on Hide and Seek games played on naturally occuring
"landscapes" from Edgar Allan Poe's The Purloined Letter (complete story)
General principles:
"…But he perpetually
errs by being too deep or too shallow, for the matter in hand; and many a
schoolboy is a better reasoner than he. I knew one about eight years of age,
whose success at guessing in the game of 'even and odd' attracted universal
admiration. This game is simple, and is played with marbles. One player holds
in his hand a number of these toys, and demands of another whether that number
is even or odd. If the guess is right, the guesser wins one; if wrong, he loses
one. The boy to whom I allude won all the marbles of the school. Of course he
had some principle of guessing; and this lay in mere observation and admeasurement
of the astuteness of his opponents. For example, an arrant simpleton is his
opponent, and, holding up his closed hand, asks, 'are they even or odd?' Our
schoolboy replies, 'odd,' and loses; but upon the second trial he wins, for he
then says to himself, the simpleton had them even upon the first trial, and his
amount of cunning is just sufficient to make him have them odd upon the second;
I will therefore guess odd'; --he guesses odd, and wins. Now, with a simpleton
a degree above the first, he would have reasoned thus: 'This fellow finds that
in the first instance I guessed odd, and, in the second, he will propose to
himself upon the first impulse, a simple variation from even to odd, as did the
first simpleton; but then a second thought will suggest that this is too simple
a variation, and finally he will decide upon putting it even as before. I will
therefore guess even' guesses even, and wins. Now this mode of reasoning in the
schoolboy, whom his fellows termed 'lucky,' --what, in its last analysis, is
it?"
"It is merely," I said, "an identification of the reasoner's
intellect with that of his opponent."
(glossary: "arrant
simpleton" = L1 (conditional on shared history, which makes one
choice focal in a way that would attract L0); "simpleton a degree
above the first" = L2; boy with all the marbles = L2 or L3,
depending on his assessment of how simple his opponent is)
Specific application:
"At length my eyes, in going
the circuit of the room, fell upon a trumpery filigree card-rack of pasteboard,
that hung dangling by a dirty blue ribbon, from a little brass knob just
beneath the middle of the mantelpiece. In this rack, which had three or four
compartments, were five or six visiting cards and a solitary letter. This last
was much soiled and crumpled. It was torn nearly in two, across the middle --as
if a design, in the first instance, to tear it entirely up as worthless, had
been altered, or stayed, in the second. It had a large black seal, bearing the
D-- cipher very conspicuously, and was addressed, in a diminutive female hand,
to D--, the minister, himself. It was thrust carelessly, and even, as it
seemed, contemptuously, into one of the upper divisions of the rack.
"No sooner had I glanced at
this letter, than I concluded it to be that of which I was in search. To be
sure, it was, to all appearance, radically different from the one of which the
Prefect had read us so minute a description. Here the seal was large and black,
with the D-- cipher; there it was small and red, with the ducal arms of the S--
family. Here, the address, to the Minister, was diminutive and feminine; there
the superscription, to a certain royal personage, was markedly bold and
decided; the size alone formed a point of correspondence. But, then, the
radicalness of these differences, which was excessive; the dirt; the soiled and
torn condition of the paper, so inconsistent with the true methodical habits of
D--, and so suggestive of a design to delude the beholder into an idea of the
worthlessness of the document; these things, together with the hyperobtrusive
situation of this document, full in the view of every visitor, and thus exactly
in accordance with the conclusions to which I had previously arrived; these
things, I say, were strongly corroborative of suspicion, in one who came with
the intention to suspect."
Vincent P. Crawford, "Look-ups as the Windows of the
Strategic Soul: Studying Cognition via Information Search in Game Experiments" (based
on joint work with Miguel A. Costa-Gomes and
Bruno Broseta), in Andrew Caplin and Andrew Schotter,
editors, Perspectives on the Future of Economics: Positive and Normative
Foundations, Volume 1 in the series Handbooks of Economic Methodologies,
Oxford University Press, 2008; Lecture Slides
presented at Methodologies
of Modern Economics Conference, Center for Experimental Social Science, New
York University, 28-29 July 2006; Lecture
Slides to be presented at the Conference on the Foundations of Positive and
Normative Economics, New York University, 25-26 April 2008.
Previous version, October
2006
Miguel A.
Costa-Gomes and Vincent P. Crawford, "Studying
Cognition via Information Search in Two-Person Guessing Game Experiments,"
paper still in progress
Lecture Slides, Berkeley Psychology and Economics Seminar,
6 March 2007, and the Barcelona JOCS Seminar, 26 March 2007; focusing on
cognitive and experimental issues; earlier version of Lecture Slides, Chicago, 2007, AEA
Meetings; focusing on cognitive and experimental issues
Lecture Slides, Workshop on Econometrics
and Experimental Economics, Northwestern University, 28 April 2006; focusing on
econometric issues
Lecture Slides, "Studying
Strategic Thinking by Monitoring Search for Hidden Payoff Information and
Interpreting the Data in the Light of Algorithms that Link Cognition, Search,
and Decisions," NSF Workshop on “Behavior, Computation, and
Networks in Human Subject Experimentation,” Del Mar, California, July
31-August 1, 2008
Lecture Slides, Cemmap/ELSE Workshop on
"Experimental Analysis of Procedural Rationality in Games and
Decisions,"
Lecture Slides, "Studying Strategic Thinking
Experimentally by Monitoring Search for Hidden Payoff Information,"
Behavioral, Social and Computer Sciences Seminar, Calit2, University of
Miguel A.
Costa-Gomes and Vincent P. Crawford, "Cognition
and Behavior in Two-Person Guessing Games: An Experimental Study," American
Economic Review 96 (December 2006), 1737-1768; Web
Appendix (zip) (A. Instructions
for Baseline and Robot/Trained Subjects Treatments; B. Description of Pilots;
C. Preliminary Statistical Tests; D. Figures Showing Subjects' Aggregate Guess
Distributions, Game by Game; E. Subjects' Guess and Look-up Data; F.
Specification Tests and Analysis of Clusters; G. Supplementary Tables; H.
Analysis of Search); Data
Appendix (zip); Lecture slides; part of Figure 1 from Nagel (1995 AER) referred to in slides
Previous version, August
2006; previous version, December
2005; previous version, October
2004; first version, April 2004
Figures showing aggregate frequency
distributions of guesses game by game (with games identified by the codes from
Table 2):
Sara Robinson extensively discusses this paper in her article, "How Real People Think in
Strategic Games," in the January/Februrary 2004 issue of SIAM News
Vincent P. Crawford, "Lying for
Strategic Advantage: Rational and Boundedly Rational Misrepresentation of
Intentions," American Economic Review 93 (March
2003), 133-149; Lecture slides
Previous version (UCSD Discussion Paper
2001-16)

Quotes:
Let me read you some of the actual
chatter that we picked up that Spring and Summer:
· 'Unbelievable news in coming
weeks'
· 'Big event ... there will be a
very, very, very, very big uproar'
· 'There will be attacks in the
near future'
Troubling, yes. But they
don’t tell us when; they don’t tell us where; they don’t tell
us who; and they don’t tell us how." -- Condoleeza Rice, Opening
Remarks to the National Commission on Terrorist Attacks Upon the
"Συνέντευξη του Διακεκριμένου Καθηγητή του Πανεπιστημίου της Καλιφόρνια, Σαν Ντιέγκο, Professor Vincent P. Crawford: Στο εργαστήριο μαθαίνουμε πώς λαμβάνονται οι αποφάσεις," Εφημερίδα ΤA ΝΕΑ 15/03/2005, ειδικό ένθετο MBA Ανοιχτό: ("Interview of
Distinguished Professor at the University of California, San Diego, Professor
Vincent P. Crawford: In the Laboratory We Learn How Decisions are Made",
in the special inset "MBA Open" of the Greek newspaper "The
News," 15 March 2005 (interviewed by Constantina Kottaridi))
Vincent P. Crawford,
Lecture Slides for "Outguessing and
Deception in Novel Strategic Situations," SESS Distinguished Lecture, Singapore Management University,
November 2004; SMU Video webcast (asf,
379 megabytes; may load slowly); Lecture
Slides for version
presented at Northwestern University, October 2005
Vincent P.
Crawford, "Introduction
to Experimental Game Theory" (Symposium), Journal of Economic Theory
104 (May 2002), 1-15; html
Miguel
Costa-Gomes, Vincent Crawford, and Bruno Broseta, "Cognition and Behavior in Normal-Form Games: An
Experimental Study," Econometrica 69 (September 2001)),
1193-1235; Correction
of minor typos in Table 2 of published version (p.1216)
Preliminary version (UCSD Discussion Paper
98-22, includes appendices); extensively revised version plus Appendix A (UCSD
Discussion Paper 2000-02R), Appendices B, C, D,
and E; Lecture slides; MouseLab home page
Vincent P.
Crawford, "Learning Dynamics, Lock-in, and
Equilibrium Selection in Experimental Coordination Games," in Ugo
Pagano and Antonio Nicita, editors, The Evolution of Economic Diversity (papers
from Workshop X, International School of Economic Research, University of
Siena), London and New York: Routledge, 2001, 133-163; Lecture slides
Readers (and potential
Routledge authors) should note that Routledge eliminated crucial parts of
Figure 6.2(b), making it meaningless. There should be a closed dot at (2,0) and
an open dot at (0,0), as in the UCSD Discussion Paper 97-19 version.
Vincent P.
Crawford and Bruno Broseta, "What Price
Coordination? The Efficiency-enhancing Effect of Auctioning the Right to Play,"
American Economic Review 88 (March 1998), 198-225.
Vincent
Crawford, "Theory and Experiment in the
Analysis of Strategic Interaction," in David Kreps and Ken Wallis,
editors, Advances in Economics and Econometrics:
Theory and Applications, Seventh World Congress, Vol. I, Econometric Society Monographs
No. 27, Cambridge, U.K., and New York: Cambridge University Press, 1997,
206-242; reprinted with minor changes and
additions in Colin Camerer, George Loewenstein, and Matthew Rabin, editors, Advances
in Behavioral Economics, Princeton, NJ: Princeton University Press, 2003, 344-373.
Vincent
Crawford, "A Survey
of Experiments on Communication via Cheap Talk," Journal of
Economic Theory 78 (February 1998), 286-298.
Vincent P.
Crawford, "Adaptive Dynamics in Coordination
Games," Econometrica 63 (January 1995), 103-143
Vincent P.
Crawford, "An
'Evolutionary' Interpretation of Van Huyck, Battalio, and Beil's Experimental
Results on Coordination," Games and Economic Behavior 3
(February 1991), 25-59
Vincent P.
Crawford, "Explicit Communication and
Bargaining Outcomes," American Economic Review Papers and
Proceedings 80 (May 1990), 213-219
Vincent P.
Crawford, "Equilibrium
without Independence," Journal of Economic Theory 50 (February
1990), 127-154
Vincent P.
Crawford, "Learning and
Mixed-Strategy Equilibria in Evolutionary Games," Journal of
Theoretical Biology 140 (23 October 1989), 537-550
Matching Markets
Vincent P.
Crawford, "The
Flexible-Salary Match: A Proposal
to Increase the Salary Flexibility of the National Resident Matching Program,"
Journal of Economic Behavior and Organization 66 (2008), 149-160; working paper version.
Previous version, February 2005; First version, August 2004
Sara Robinson's August 24, 2004 New York Times
article about the proposal, "Tweaking the
Math to Make Happier Medical Marriages"
and the graphic published with the article
Patricia Morén's
March 29, 2007 Diario
Medico (free online registration required) article about the
proposal, "La flexibilidad salarial
del residente mejora su asignación a distintos centros"
Read more about
the National Resident Matching Program;
about the residents'
lawsuit
Vincent P.
Crawford and Elsie Marie Knoer, "Job
Matching with Heterogeneous Firms and Workers," Econometrica 49
(March 1981), 437-450
Alexander S.
Kelso, Jr., and Vincent P. Crawford, "Job
Matching, Coalition Formation, and Gross Substitutes," Econometrica
50 (November 1982), 1483-1504
Vincent P.
Crawford, "Comparative
Statics in Matching Markets," Journal of Economic Theory 54
(August 1991), 389-400
Miscellany
Vincent P.
Crawford and Ping-Sing Kuo,
"A Dual
Dutch Auction in Taipei: The Choice of Numeraire and Auction Form in
Multi-Object Auctions with Bundling," Journal of Economic Behavior
and Organization 52 (August 2003), 427-442; final
version (UCSD Discussion Paper 2000-10); Lecture slides
"The Protestant Ethic and
the Spirit of Stuffiness" or "Who is Gerard Wanrooy and why did he (and his boss at
Elsevier, Joop Dirkmaat), overriding JEBO editor
Barkley Rosser's decision, refuse to publish one of these photographs in the
article or to post them as accompanying materials linked on JEBO's
website; and why did they try even to refuse us the right to publish a link in JEBO
to the photographs posted on this website?"
Informal talk on "Strategies for Getting
Papers Published in Journals" (audio only, hard to hear), National Dong Hwa University,


Vincent P. Crawford, "Review
of Games
of Strategy
by Avinash Dixit and Susan Skeath," Journal of Economic Literature
39 (September 2001), 904-905; html

Vincent
Crawford, "John
Nash and the Analysis of Strategic Behavior," Economics
Letters 75 (May 2002), 377-382; UCSD Discussion Paper 2000-03; reprinted in Greek translation, with
minor changes, as "O John Nash και η
ανάλυση της
στρατηγικής
συμπεριφοράς,"
in Θεωρια
Παιγνιων:
Αφιερωμα στον John
Nash (Game Theory: A Festschrift in Honor of John Nash), Constantina Kottaridi
and Gregorios Siourounis, editors, Athens: Eurasia Publications, 2002
Vincent P. Crawford, "Review
of Rational Ritual: Culture, Coordination, and Common Knowledge by
Michael Suk-Young Chwe," Journal of Economic Literature 40
(June 2002), 577-578; html
Past Courses (at UCSD unless otherwise noted; only most
recent year is shown for undergraduate courses)
American Academy of Arts and Sciences
Photos
from the 2003 Induction Ceremony

In
memory of my father, Bennett Crain, 1930-2006
Great-great-great-great-uncle
"Bill" (William
Harris Crawford, 1772-1834; click to
enlarge)
Vincent Crawford/ UCSD
Department of Economics /last modified 10 November 2009
Copyright © Vincent P. Crawford, 2009. All
federal and state copyrights reserved for all original material presented on
this site, or in the courses it refers to, through any medium, including
lecture or print.