SlideShare a Scribd company logo
? EXERCISE 31.1 (Contributing to a public good) Each of n people chooses whether or not to
contribute a fixed amount toward the provision of a public good. The good is provided if and only if
at least k people contribute, where 2kn; if it is not provided, contributions are not refunded. Each
person ranks outcomes from best to worst as follows: (i) any outcome in which the good is
provided and she does not contribute, (ii) any outcome in which the good is provided and she
contributes, (iii) any outcome in which the good is not provided and she does not contribute, (iv)
any outcome in which the good is not provided and she contributes. Formulate this situation as a
strategic game and find its Nash equilibria. (Is there a Nash equilibrium in which more than k
people contribute? One in which k people contribute? One in which fewer than k people
contribute? (Be careful!))

More Related Content

More from ajay1317

Un mtodo operativo para administrar el inventario es la i.pdf
 Un mtodo operativo para administrar el inventario es la i.pdf Un mtodo operativo para administrar el inventario es la i.pdf
Un mtodo operativo para administrar el inventario es la i.pdf
ajay1317
 
Table Region .pdf
 Table Region  .pdf Table Region  .pdf
Table Region .pdf
ajay1317
 
Supongamos que la Tierra gir hacia atrs pero an orbita.pdf
 Supongamos que la Tierra gir hacia atrs pero an orbita.pdf Supongamos que la Tierra gir hacia atrs pero an orbita.pdf
Supongamos que la Tierra gir hacia atrs pero an orbita.pdf
ajay1317
 
Synthesizes the new DNA strands in the 5 3 direction .pdf
 Synthesizes the new DNA strands in the 5 3 direction  .pdf Synthesizes the new DNA strands in the 5 3 direction  .pdf
Synthesizes the new DNA strands in the 5 3 direction .pdf
ajay1317
 
returns a new copy of the LinkedList It creates a copy .pdf
 returns a new copy of the LinkedList It creates a copy .pdf returns a new copy of the LinkedList It creates a copy .pdf
returns a new copy of the LinkedList It creates a copy .pdf
ajay1317
 
Sony Ericsson is a global company that was established in .pdf
 Sony Ericsson is a global company that was established in .pdf Sony Ericsson is a global company that was established in .pdf
Sony Ericsson is a global company that was established in .pdf
ajay1317
 
11 ST segment depression may indicate Ischemia Normal fin.pdf
 11 ST segment depression may indicate Ischemia Normal fin.pdf 11 ST segment depression may indicate Ischemia Normal fin.pdf
11 ST segment depression may indicate Ischemia Normal fin.pdf
ajay1317
 
Realice una investigacin adicional para obtener ms infor.pdf
 Realice una investigacin adicional para obtener ms infor.pdf Realice una investigacin adicional para obtener ms infor.pdf
Realice una investigacin adicional para obtener ms infor.pdf
ajay1317
 
Elvira es una pintora abstracta con un talento increble p.pdf
 Elvira es una pintora abstracta con un talento increble p.pdf Elvira es una pintora abstracta con un talento increble p.pdf
Elvira es una pintora abstracta con un talento increble p.pdf
ajay1317
 
Programming Assignment 4 Calculate the first 16 Fib.pdf
 Programming Assignment 4  Calculate the first 16 Fib.pdf Programming Assignment 4  Calculate the first 16 Fib.pdf
Programming Assignment 4 Calculate the first 16 Fib.pdf
ajay1317
 
El sndrome X frgil es un trastorno dominante ligado al s.pdf
 El sndrome X frgil es un trastorno dominante ligado al s.pdf El sndrome X frgil es un trastorno dominante ligado al s.pdf
El sndrome X frgil es un trastorno dominante ligado al s.pdf
ajay1317
 
In grading eggs into small medium and large the Nancy F.pdf
 In grading eggs into small medium and large the Nancy F.pdf In grading eggs into small medium and large the Nancy F.pdf
In grading eggs into small medium and large the Nancy F.pdf
ajay1317
 
M 0 1 2 3 4 5 6 7 0.pdf
 M  0  1  2  3  4  5  6  7    0.pdf M  0  1  2  3  4  5  6  7    0.pdf
M 0 1 2 3 4 5 6 7 0.pdf
ajay1317
 
for initializer_list include ltinitializer_listgt .pdf
 for initializer_list include ltinitializer_listgt .pdf for initializer_list include ltinitializer_listgt .pdf
for initializer_list include ltinitializer_listgt .pdf
ajay1317
 
public class Pattern public .pdf
   public class Pattern     public .pdf   public class Pattern     public .pdf
public class Pattern public .pdf
ajay1317
 
Inside your VM not the individual containers Develop .pdf
 Inside your VM not the individual containers  Develop .pdf Inside your VM not the individual containers  Develop .pdf
Inside your VM not the individual containers Develop .pdf
ajay1317
 
Probl.pdf
   Probl.pdf   Probl.pdf
Probl.pdf
ajay1317
 
Follow the instructions in the code def times_tablenum 1.pdf
 Follow the instructions in the code def times_tablenum 1.pdf Follow the instructions in the code def times_tablenum 1.pdf
Follow the instructions in the code def times_tablenum 1.pdf
ajay1317
 
At what level of investment ownership is significant influen.pdf
At what level of investment ownership is significant influen.pdfAt what level of investment ownership is significant influen.pdf
At what level of investment ownership is significant influen.pdf
ajay1317
 
Assignment What is the future of Twitter Assignment Yo.pdf
Assignment What is the future of Twitter   Assignment  Yo.pdfAssignment What is the future of Twitter   Assignment  Yo.pdf
Assignment What is the future of Twitter Assignment Yo.pdf
ajay1317
 

More from ajay1317 (20)

Un mtodo operativo para administrar el inventario es la i.pdf
 Un mtodo operativo para administrar el inventario es la i.pdf Un mtodo operativo para administrar el inventario es la i.pdf
Un mtodo operativo para administrar el inventario es la i.pdf
 
Table Region .pdf
 Table Region  .pdf Table Region  .pdf
Table Region .pdf
 
Supongamos que la Tierra gir hacia atrs pero an orbita.pdf
 Supongamos que la Tierra gir hacia atrs pero an orbita.pdf Supongamos que la Tierra gir hacia atrs pero an orbita.pdf
Supongamos que la Tierra gir hacia atrs pero an orbita.pdf
 
Synthesizes the new DNA strands in the 5 3 direction .pdf
 Synthesizes the new DNA strands in the 5 3 direction  .pdf Synthesizes the new DNA strands in the 5 3 direction  .pdf
Synthesizes the new DNA strands in the 5 3 direction .pdf
 
returns a new copy of the LinkedList It creates a copy .pdf
 returns a new copy of the LinkedList It creates a copy .pdf returns a new copy of the LinkedList It creates a copy .pdf
returns a new copy of the LinkedList It creates a copy .pdf
 
Sony Ericsson is a global company that was established in .pdf
 Sony Ericsson is a global company that was established in .pdf Sony Ericsson is a global company that was established in .pdf
Sony Ericsson is a global company that was established in .pdf
 
11 ST segment depression may indicate Ischemia Normal fin.pdf
 11 ST segment depression may indicate Ischemia Normal fin.pdf 11 ST segment depression may indicate Ischemia Normal fin.pdf
11 ST segment depression may indicate Ischemia Normal fin.pdf
 
Realice una investigacin adicional para obtener ms infor.pdf
 Realice una investigacin adicional para obtener ms infor.pdf Realice una investigacin adicional para obtener ms infor.pdf
Realice una investigacin adicional para obtener ms infor.pdf
 
Elvira es una pintora abstracta con un talento increble p.pdf
 Elvira es una pintora abstracta con un talento increble p.pdf Elvira es una pintora abstracta con un talento increble p.pdf
Elvira es una pintora abstracta con un talento increble p.pdf
 
Programming Assignment 4 Calculate the first 16 Fib.pdf
 Programming Assignment 4  Calculate the first 16 Fib.pdf Programming Assignment 4  Calculate the first 16 Fib.pdf
Programming Assignment 4 Calculate the first 16 Fib.pdf
 
El sndrome X frgil es un trastorno dominante ligado al s.pdf
 El sndrome X frgil es un trastorno dominante ligado al s.pdf El sndrome X frgil es un trastorno dominante ligado al s.pdf
El sndrome X frgil es un trastorno dominante ligado al s.pdf
 
In grading eggs into small medium and large the Nancy F.pdf
 In grading eggs into small medium and large the Nancy F.pdf In grading eggs into small medium and large the Nancy F.pdf
In grading eggs into small medium and large the Nancy F.pdf
 
M 0 1 2 3 4 5 6 7 0.pdf
 M  0  1  2  3  4  5  6  7    0.pdf M  0  1  2  3  4  5  6  7    0.pdf
M 0 1 2 3 4 5 6 7 0.pdf
 
for initializer_list include ltinitializer_listgt .pdf
 for initializer_list include ltinitializer_listgt .pdf for initializer_list include ltinitializer_listgt .pdf
for initializer_list include ltinitializer_listgt .pdf
 
public class Pattern public .pdf
   public class Pattern     public .pdf   public class Pattern     public .pdf
public class Pattern public .pdf
 
Inside your VM not the individual containers Develop .pdf
 Inside your VM not the individual containers  Develop .pdf Inside your VM not the individual containers  Develop .pdf
Inside your VM not the individual containers Develop .pdf
 
Probl.pdf
   Probl.pdf   Probl.pdf
Probl.pdf
 
Follow the instructions in the code def times_tablenum 1.pdf
 Follow the instructions in the code def times_tablenum 1.pdf Follow the instructions in the code def times_tablenum 1.pdf
Follow the instructions in the code def times_tablenum 1.pdf
 
At what level of investment ownership is significant influen.pdf
At what level of investment ownership is significant influen.pdfAt what level of investment ownership is significant influen.pdf
At what level of investment ownership is significant influen.pdf
 
Assignment What is the future of Twitter Assignment Yo.pdf
Assignment What is the future of Twitter   Assignment  Yo.pdfAssignment What is the future of Twitter   Assignment  Yo.pdf
Assignment What is the future of Twitter Assignment Yo.pdf
 

Recently uploaded

Instructions for Submissions thorugh G- Classroom.pptx
Instructions for Submissions thorugh G- Classroom.pptxInstructions for Submissions thorugh G- Classroom.pptx
Instructions for Submissions thorugh G- Classroom.pptx
Jheel Barad
 
Honest Reviews of Tim Han LMA Course Program.pptx
Honest Reviews of Tim Han LMA Course Program.pptxHonest Reviews of Tim Han LMA Course Program.pptx
Honest Reviews of Tim Han LMA Course Program.pptx
timhan337
 
Biological Screening of Herbal Drugs in detailed.
Biological Screening of Herbal Drugs in detailed.Biological Screening of Herbal Drugs in detailed.
Biological Screening of Herbal Drugs in detailed.
Ashokrao Mane college of Pharmacy Peth-Vadgaon
 
Francesca Gottschalk - How can education support child empowerment.pptx
Francesca Gottschalk - How can education support child empowerment.pptxFrancesca Gottschalk - How can education support child empowerment.pptx
Francesca Gottschalk - How can education support child empowerment.pptx
EduSkills OECD
 
678020731-Sumas-y-Restas-Para-Colorear.pdf
678020731-Sumas-y-Restas-Para-Colorear.pdf678020731-Sumas-y-Restas-Para-Colorear.pdf
678020731-Sumas-y-Restas-Para-Colorear.pdf
CarlosHernanMontoyab2
 
Operation Blue Star - Saka Neela Tara
Operation Blue Star   -  Saka Neela TaraOperation Blue Star   -  Saka Neela Tara
Operation Blue Star - Saka Neela Tara
Balvir Singh
 
CACJapan - GROUP Presentation 1- Wk 4.pdf
CACJapan - GROUP Presentation 1- Wk 4.pdfCACJapan - GROUP Presentation 1- Wk 4.pdf
CACJapan - GROUP Presentation 1- Wk 4.pdf
camakaiclarkmusic
 
Guidance_and_Counselling.pdf B.Ed. 4th Semester
Guidance_and_Counselling.pdf B.Ed. 4th SemesterGuidance_and_Counselling.pdf B.Ed. 4th Semester
Guidance_and_Counselling.pdf B.Ed. 4th Semester
Atul Kumar Singh
 
BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...
BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...
BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...
Nguyen Thanh Tu Collection
 
The approach at University of Liverpool.pptx
The approach at University of Liverpool.pptxThe approach at University of Liverpool.pptx
The approach at University of Liverpool.pptx
Jisc
 
special B.ed 2nd year old paper_20240531.pdf
special B.ed 2nd year old paper_20240531.pdfspecial B.ed 2nd year old paper_20240531.pdf
special B.ed 2nd year old paper_20240531.pdf
Special education needs
 
Thesis Statement for students diagnonsed withADHD.ppt
Thesis Statement for students diagnonsed withADHD.pptThesis Statement for students diagnonsed withADHD.ppt
Thesis Statement for students diagnonsed withADHD.ppt
EverAndrsGuerraGuerr
 
Language Across the Curriculm LAC B.Ed.
Language Across the  Curriculm LAC B.Ed.Language Across the  Curriculm LAC B.Ed.
Language Across the Curriculm LAC B.Ed.
Atul Kumar Singh
 
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
siemaillard
 
Model Attribute Check Company Auto Property
Model Attribute  Check Company Auto PropertyModel Attribute  Check Company Auto Property
Model Attribute Check Company Auto Property
Celine George
 
Polish students' mobility in the Czech Republic
Polish students' mobility in the Czech RepublicPolish students' mobility in the Czech Republic
Polish students' mobility in the Czech Republic
Anna Sz.
 
Lapbook sobre os Regimes Totalitários.pdf
Lapbook sobre os Regimes Totalitários.pdfLapbook sobre os Regimes Totalitários.pdf
Lapbook sobre os Regimes Totalitários.pdf
Jean Carlos Nunes Paixão
 
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...
Levi Shapiro
 
Acetabularia Information For Class 9 .docx
Acetabularia Information For Class 9  .docxAcetabularia Information For Class 9  .docx
Acetabularia Information For Class 9 .docx
vaibhavrinwa19
 
Introduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp NetworkIntroduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp Network
TechSoup
 

Recently uploaded (20)

Instructions for Submissions thorugh G- Classroom.pptx
Instructions for Submissions thorugh G- Classroom.pptxInstructions for Submissions thorugh G- Classroom.pptx
Instructions for Submissions thorugh G- Classroom.pptx
 
Honest Reviews of Tim Han LMA Course Program.pptx
Honest Reviews of Tim Han LMA Course Program.pptxHonest Reviews of Tim Han LMA Course Program.pptx
Honest Reviews of Tim Han LMA Course Program.pptx
 
Biological Screening of Herbal Drugs in detailed.
Biological Screening of Herbal Drugs in detailed.Biological Screening of Herbal Drugs in detailed.
Biological Screening of Herbal Drugs in detailed.
 
Francesca Gottschalk - How can education support child empowerment.pptx
Francesca Gottschalk - How can education support child empowerment.pptxFrancesca Gottschalk - How can education support child empowerment.pptx
Francesca Gottschalk - How can education support child empowerment.pptx
 
678020731-Sumas-y-Restas-Para-Colorear.pdf
678020731-Sumas-y-Restas-Para-Colorear.pdf678020731-Sumas-y-Restas-Para-Colorear.pdf
678020731-Sumas-y-Restas-Para-Colorear.pdf
 
Operation Blue Star - Saka Neela Tara
Operation Blue Star   -  Saka Neela TaraOperation Blue Star   -  Saka Neela Tara
Operation Blue Star - Saka Neela Tara
 
CACJapan - GROUP Presentation 1- Wk 4.pdf
CACJapan - GROUP Presentation 1- Wk 4.pdfCACJapan - GROUP Presentation 1- Wk 4.pdf
CACJapan - GROUP Presentation 1- Wk 4.pdf
 
Guidance_and_Counselling.pdf B.Ed. 4th Semester
Guidance_and_Counselling.pdf B.Ed. 4th SemesterGuidance_and_Counselling.pdf B.Ed. 4th Semester
Guidance_and_Counselling.pdf B.Ed. 4th Semester
 
BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...
BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...
BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...
 
The approach at University of Liverpool.pptx
The approach at University of Liverpool.pptxThe approach at University of Liverpool.pptx
The approach at University of Liverpool.pptx
 
special B.ed 2nd year old paper_20240531.pdf
special B.ed 2nd year old paper_20240531.pdfspecial B.ed 2nd year old paper_20240531.pdf
special B.ed 2nd year old paper_20240531.pdf
 
Thesis Statement for students diagnonsed withADHD.ppt
Thesis Statement for students diagnonsed withADHD.pptThesis Statement for students diagnonsed withADHD.ppt
Thesis Statement for students diagnonsed withADHD.ppt
 
Language Across the Curriculm LAC B.Ed.
Language Across the  Curriculm LAC B.Ed.Language Across the  Curriculm LAC B.Ed.
Language Across the Curriculm LAC B.Ed.
 
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
 
Model Attribute Check Company Auto Property
Model Attribute  Check Company Auto PropertyModel Attribute  Check Company Auto Property
Model Attribute Check Company Auto Property
 
Polish students' mobility in the Czech Republic
Polish students' mobility in the Czech RepublicPolish students' mobility in the Czech Republic
Polish students' mobility in the Czech Republic
 
Lapbook sobre os Regimes Totalitários.pdf
Lapbook sobre os Regimes Totalitários.pdfLapbook sobre os Regimes Totalitários.pdf
Lapbook sobre os Regimes Totalitários.pdf
 
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...
 
Acetabularia Information For Class 9 .docx
Acetabularia Information For Class 9  .docxAcetabularia Information For Class 9  .docx
Acetabularia Information For Class 9 .docx
 
Introduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp NetworkIntroduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp Network
 

EXERCISE 311 Contributing to a public good Each of n pe.pdf

  • 1. ? EXERCISE 31.1 (Contributing to a public good) Each of n people chooses whether or not to contribute a fixed amount toward the provision of a public good. The good is provided if and only if at least k people contribute, where 2kn; if it is not provided, contributions are not refunded. Each person ranks outcomes from best to worst as follows: (i) any outcome in which the good is provided and she does not contribute, (ii) any outcome in which the good is provided and she contributes, (iii) any outcome in which the good is not provided and she does not contribute, (iv) any outcome in which the good is not provided and she contributes. Formulate this situation as a strategic game and find its Nash equilibria. (Is there a Nash equilibrium in which more than k people contribute? One in which k people contribute? One in which fewer than k people contribute? (Be careful!))