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BLUFFING CAN BE REWARDING IN LOVE AFFAIRS:
The lesson of Cyrano de Bergerac
Sergio RinaldiDEI, Politecnico di Milano, Milano, Italy
EEP, IIASA, Laxenburg, Austria
OUTLINE
• PREMISE ON MODELS
• MULTIPLE ATTRACTORS
• WHAT ABOUT LOVE AFFAIRS?
• CYRANO DE BERGERAC
• EXTENSIONS AND CONCLUSIONS
PREMISE ON MODELSCan we graphically describe the evolution of a love story?
time
𝑥
0
time
𝑥
0
time
𝑥
0
time
𝑥
0 time
𝑥
0
time
𝑥
0
PREMISE ON MODELS From individuals to couples
time
𝑥1
0
time
𝑥2
0
time
𝑥1
𝑥2
0
PREMISE ON MODELS Typical love stories
𝑥1
𝑥2
0
𝑥1
𝑥2
0 𝑥1
𝑥2
0 𝑥1
𝑥2
0
𝑥1
𝑥2
0 𝑥1
𝑥2
0
PREMISE ON MODELS
SHE
1: SHE2: HE
t: todayt+1: tomorrow
𝑥1(𝑡 )−𝛼1𝑥1(𝑡)+ρ1𝐴2+𝑅1(𝑥2(𝑡))𝑅1(𝑥2)
𝑥2
𝑅1−
𝑅1+¿ ¿
Similarly for HE
Gone with the Wind (1936) – Margaret Mitchell (1900-1949)
Gone with the Wind (1939) - Victor Fleming
Vivien Leigh Clark Gable
Scarlett O'Hara Rhett Butler
Gone with the Wind (1936) – Margaret Mitchell (1900-1949)
Il Canzoniere (1366) – Francesco Petrarca (1304-1374)
Laura de Sade Francesco Petrarca
Time [years]Fran
cesc
o’s
love
0 5 10 15 20
1.5
1
0.5
0
-0.5
-1
Jules et Jim (1953) – Henri-Pierre Roché (1879-1959)
Jules et Jim (1962) - François Truffaut
KatheJules Jim
Oskar Werner Jeanne Moreau Henri Serre
Jules et Jim (1953) – Henri-Pierre Roché (1879-1959)
La belle et la bête (1740)Jeanne-Marie Leprince de Beaumont (1711-1780)
Beauty and the Beast (1991) - Walt Disney
Pride and Prejudice (1813) – Jane Austen (1775-1817)
Pride & Prejudice (2005) - Joe Wright
Keira Knightley Matthew Macfadyen
Elizabeth Bennet Fitzwilliam Darcy
ACyr = - 2 ARox = 0.6 AChr = 1
Cyrano de Bergerac – Edmond Rostand (1868-1918)
Cyrano de Bergerac (1990) - Jean-Paul Rappeneau
Gérard Depardieu Anne Brochet Vincent Perez
Cyrano de Bergerac Roxane Christian de Neuvillette
MULTIPLE ATTRACTORS
a simple experiment
MULTIPLE ATTRACTORS
MULTIPLE ATTRACTORS
MULTIPLE ATTRACTORS
anae
robi
c ba
cter
ia
aerobic bacteria
two equilibria
HEALTHY
SICK
MULTIPLE ATTRACTORS
NORMAL HICCUP
one equilibrium and one cycle
MULTIPLE ATTRACTORStwo strange attractors
EPYLESSYNORMAL
MULTIPLE ATTRACTORSFrom bad to good
BAD
GOOD
???
WHAT ABOUT LOVE AFFAIRS?
𝑥1
𝑥2
BAD
GOOD
WHAT ABOUT LOVE AFFAIRS?
IDEA: Bluff
– Love – Appeal 𝑥1
𝑥2
BAD
GOOD
WHAT ABOUT LOVE AFFAIRS?
𝑥1
𝑥2
GOOD
𝑥1
𝑥2
BAD
GOOD
NO BLUFF WITH BLUFF
CYRANO DE BERGERAC
CYRANO DE BERGERAC
CYRANO DE BERGERAC
CYRANO DE BERGERAC
CYRANO DE BERGERAC
Fifteen years later
CYRANO DE BERGERAC
CYRANO DE BERGERACThe model
SHEHE
Cyrano
Roxane
CYRANO DE BERGERACThe model
SHEHE
The parameters
Virtual phase: without bluffing
𝑥1
𝑥2
0BAD
GOOD
Real phase: with bluffing
𝑥1
𝑥2
𝑃
0
Separation phase
𝑥1
𝑥2
𝑃
0
𝑄
Virtual phase: the expected future
𝑥1
𝑥2
0
𝑄
BAD
GOOD
Summary: The overall story
𝑥1
𝑥2
0
𝑄
𝑃
BAD
GOOD
EXTENSIONS AND CONCLUSIONS
EXTENSIONS AND CONCLUSIONS
EXTENSIONS AND CONCLUSIONS
• high no bluffing• intermediate temporary bluffing• low permanent bluffing
These results explain the incresing use of chatting and aesthetic surgery
Appeals:
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