Graduate Summer School: Mean Field Games and Applications

June 18 - 29, 2018

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, June 18, 2018

Morning Session

8:00 - 9:00 Check-In/Breakfast (Hosted by IPAM)
9:00 - 10:00
Wilfrid Gangbo (University of California, Los Angeles (UCLA))

Rudiments of Optimal Transport and Mean Field Games I

 
10:10 - 10:40 Recitation: Alpár Mészáros
10:40 - 11:00 Break
11:00 - 12:00
Wilfrid Gangbo (University of California, Los Angeles (UCLA))

Rudiments of Optimal Transport and Mean Field Games II

 
12:10 - 12:40 Recitation: Alpár Mészáros
12:40 - 2:30 Lunch (on your own)

Afternoon Session

2:30 - 3:30
Yann Brenier (Centre National de la Recherche Scientifique (CNRS))

Optimal transport viewed as an elementary limit case of MFG: part I
PDF Presentation

 
3:40 - 4:10 Recitation: Alpár Mészáros
4:10 - 6:00 Reception (Hosted by IPAM) & Poster Session

Tuesday, June 19, 2018

Morning Session

8:00 - 9:00 Breakfast (hosted by IPAM)
9:00 - 10:00
Yann Brenier (Centre National de la Recherche Scientifique (CNRS))

Optimal transport viewed as an elementary limit case of MFG: part II
PDF Presentation

 
10:10 - 10:40 Recitation: Alpár Mészáros
10:40 - 11:00 Break
11:00 - 12:00
Tamer Basar (University of Illinois at Urbana-Champaign)

Stochastic Differential Games in Finite and Infinite Population Regimes I
PDF Presentation

 
12:10 - 12:40 Recitation: Yat Tin Chow
12:40 - 2:10 Lunch (on your own)

Afternoon Session

2:10 - 3:10
Daniel Lacker (Columbia University)

Probabilistic compactification methods for mean field games I
PDF Presentation

 
3:20 - 3:50 Recitation: Daniel Lacker
3:50 - 4:00 Break
4:00 - 5:00
Yat Tin Chow (University of California, Los Angeles (UCLA))

A discussion of some algorithms for Hamilton-Jacobi equations in density space I

 

Wednesday, June 20, 2018

Morning Session

8:00 - 9:00 Breakfast (hosted by IPAM)
9:00 - 10:00
Tamer Basar (University of Illinois at Urbana-Champaign)

Stochastic Differential Games in Finite and Infinite Population Regimes II
PDF Presentation

 
10:10 - 10:40 Recitation: Yat Tin Chow
10:40 - 11:00 Break
11:00 - 12:00
Tamer Basar (University of Illinois at Urbana-Champaign)

Stochastic Differential Games in Finite and Infinite Population Regimes III
PDF Presentation

 
12:10 - 12:40 Recitation: Yat Tin Chow
12:40 - 2:30 Lunch (on your own)

Afternoon Session

2:30 - 3:30
Marie-Therese Wolfram (University of Warwick, RICAM)

Mean field game models in pedestrian dynamics I
PDF Presentation

 
3:40 - 4:10 Recitation: Marie-Therese Wolfram

Thursday, June 21, 2018

Morning Session

8:00 - 9:00 Breakfast (hosted by IPAM)
9:00 - 10:00
Daniel Lacker (Columbia University)

Probabilistic compactification methods for mean field games II
PDF Presentation

 
10:10 - 10:40 Recitation: Daniel Lacker
10:40 - 11:00 Break
11:00 - 12:00
Daniel Lacker (Columbia University)

Probabilistic compactification methods for mean field games III
PDF Presentation

 
12:10 - 12:40 Recitation: Daniel Lacker
12:40 - 2:10 Lunch (on your own)

Afternoon Session

2:10 - 3:10
Marie-Therese Wolfram (University of Warwick, RICAM)

Mean field game models in pedestrian dynamics II
PDF Presentation

 
3:20 - 3:50 Recitation: Marie-Therese Wolfram
3:50 - 4:00 Break
4:00 - 5:00
Yat Tin Chow (University of California, Los Angeles (UCLA))

A discussion of some algorithms for Hamilton-Jacobi equations in density space II

 

Friday, June 22, 2018

Morning Session

8:00 - 9:00 Breakfast (hosted by IPAM)
9:00 - 10:00
Marie-Therese Wolfram (University of Warwick, RICAM)

Boltzmann mean field games I
PDF Presentation

 
10:10 - 10:40 Recitation: Marie-Therese Wolfram
10:40 - 11:00 Break
11:00 - 12:00
Daniel Lacker (Columbia University)

Probabilistic compactification methods for mean field games IV
PDF Presentation

 
12:10 - 12:40 Recitation: Daniel Lacker
12:40 - 2:00 Lunch (on your own)

Afternoon Session

2:00 - 3:00
Marie-Therese Wolfram (University of Warwick, RICAM)

Boltzmann mean field games II
PDF Presentation

 
3:10 - 3:40 Recitation: Marie-Therese Wolfram

Monday, June 25, 2018

Morning Session

8:00 - 9:00 Please note different location: Ackerman Viewpoint Conference Room (A29)
Breakfast (hosted by IPAM)
9:00 - 10:00
Diogo Aguiar Gomes (King Abdullah Univ. of Science and Technology (KAUST))

Explicit solutions for MFGs
PDF Presentation

 
10:10 - 10:40 Recitation: Levon Nurbekyan
10:40 - 11:00 Break
11:00 - 12:00
Yann Brenier (Centre National de la Recherche Scientifique (CNRS))

Link between MFG and initial value problems: part I
PDF Presentation

 
12:10 - 12:40 Recitation: Alpár Mészáros
12:40 - 2:30 Lunch (on your own)

Afternoon Session

2:30 - 3:30
 
3:40 - 4:10 Recitation: Wuchen Li

Tuesday, June 26, 2018

Morning Session

8:00 - 9:00 Breakfast (hosted by IPAM)
9:00 - 10:00
Yann Brenier (Centre National de la Recherche Scientifique (CNRS))

Link between MFG and initial value problems: part II
PDF Presentation

 
10:10 - 10:40 Recitation: Alpár Mészáros
10:40 - 11:00 Break
11:00 - 12:00
Diogo Aguiar Gomes (King Abdullah Univ. of Science and Technology (KAUST))

Price formation models
PDF Presentation

 
12:10 - 12:40 Recitation: Levon Nurbekyan
12:40 - 2:10 Lunch (on your own)

Afternoon Session

2:10 - 3:10
Diogo Aguiar Gomes (King Abdullah Univ. of Science and Technology (KAUST))

A priori estimates for mean-field games
PDF Presentation

 
3:20 - 3:50 Recitation: Levon Nurbekyan
3:50 - 4:00 Break
4:00 - 5:00
Wuchen Li (University of California, Los Angeles (UCLA))

Mean field games via probability manifold I
PDF Presentation

 

Wednesday, June 27, 2018

Morning Session

8:00 - 9:00 Breakfast (hosted by IPAM)
9:00 - 10:00
Diogo Aguiar Gomes (King Abdullah Univ. of Science and Technology (KAUST))

Monotonicity methods for mean-field games
PDF Presentation

 
10:10 - 10:40 Recitation: Levon Nurbekyan
10:40 - 11:00 Break
11:00 - 12:00
 
12:10 - 12:40 Recitation: Wuchen Li
12:40 - 2:30 Lunch (on your own)

Afternoon Session

3:00 - 4:00 Please note different location: Moore 100
Yann Brenier (Centre National de la Recherche Scientifique (CNRS))

Public Lecture: The melting rubik cube: from fluids to combinatorics and vice versa
PDF Presentation

 

Thursday, June 28, 2018

Morning Session

8:00 - 9:00 Breakfast (hosted by IPAM)
9:00 - 10:00
David Ambrose (Drexel University)

PDE Methods for Non-Separable Mean Field Games I: Data in the Wiener Algebra
PDF Presentation

 
10:10 - 10:40 Recitation: David Ambrose
10:40 - 11:00 Break
11:00 - 12:00
12:10 - 12:40 Recitation: Wuchen Li
12:40 - 2:10 Lunch (on your own)

Afternoon Session

2:10 - 3:10
David Ambrose (Drexel University)

PDE Methods for Non-Separable Mean Field Games II: Data in Sobolev Spaces (Part 1)
PDF Presentation

 
3:20 - 3:50 Recitation: David Ambrose
3:50 - 4:00 Break
4:00 - 5:00
Wuchen Li (University of California, Los Angeles (UCLA))

Mean field games via probability manifold II
PDF Presentation

 

Friday, June 29, 2018

Morning Session

8:00 - 9:00 Breakfast (hosted by IPAM)
9:00 - 10:00
David Ambrose (Drexel University)

PDE Methods for Non-Separable Mean Field Games III: Data in Sobolev Spaces (Part 2)
PDF Presentation

 
10:10 - 10:40 Recitation: David Ambrose
10:40 - 11:00 Break
11:00 - 12:00
 
12:10 - 12:40 Recitation: Wuchen Li
12:40 - 2:30 Lunch (on your own)

Afternoon Session

2:30 - 3:30
David Ambrose (Drexel University)

PDE Methods for Non-Separable Mean Field Games IV: Further Topics
PDF Presentation