When does the private provision of a public good prevent conflict?
We consider a two-stage model, in which n players with the same preferences and different incomes compete for a common value prize and then contribute to a pure public good. We derive the sufficient and necessary condition under which there exists a Subgame Perfect Equilibrium in which a contest is...
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Published in | Economics letters Vol. 192; p. 109225 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Amsterdam
Elsevier B.V
01.07.2020
Elsevier Science Ltd |
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Abstract | We consider a two-stage model, in which n players with the same preferences and different incomes compete for a common value prize and then contribute to a pure public good. We derive the sufficient and necessary condition under which there exists a Subgame Perfect Equilibrium in which a contest is not held. In particular, in order to maintain peace, the “poorest” player needs to contribute to the public good in every realization and therefore cannot be too poor. Peace therefore depends on the strength of the weakest player as well as on the value of the prize. The model may help in understanding conflicts between countries with a common interest.
•We consider a model in which n players compete and then contribute to a public good.•The model can be used to understand conflicts in which rival sides share a common interest.•We derive a sufficient and necessary condition for a peaceful equilibrium.•A contest is not held when the weakest side is sufficiently strong. |
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AbstractList | We consider a two-stage model, in which n players with the same preferences and different incomes compete for a common value prize and then contribute to a pure public good. We derive the sufficient and necessary condition under which there exists a Subgame Perfect Equilibrium in which a contest is not held. In particular, in order to maintain peace, the "poorest" player needs to contribute to the public good in every realization and therefore cannot be too poor. Peace therefore depends on the strength of the weakest player as well as on the value of the prize. The model may help in understanding conflicts between countries with a common interest. We consider a two-stage model, in which n players with the same preferences and different incomes compete for a common value prize and then contribute to a pure public good. We derive the sufficient and necessary condition under which there exists a Subgame Perfect Equilibrium in which a contest is not held. In particular, in order to maintain peace, the “poorest” player needs to contribute to the public good in every realization and therefore cannot be too poor. Peace therefore depends on the strength of the weakest player as well as on the value of the prize. The model may help in understanding conflicts between countries with a common interest. •We consider a model in which n players compete and then contribute to a public good.•The model can be used to understand conflicts in which rival sides share a common interest.•We derive a sufficient and necessary condition for a peaceful equilibrium.•A contest is not held when the weakest side is sufficiently strong. |
ArticleNumber | 109225 |
Author | Klunover, Doron Jelnov, Artyom |
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Cites_doi | 10.1016/0047-2727(86)90024-1 10.1016/0165-1765(83)90087-3 10.1257/aer.101.4.1345 10.1007/BF00141070 10.1111/1467-937X.00153 |
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References | Morgan (b7) 2000; 67 Bergstrom, Blume, Varian (b1) 1986; 29 Corchón, Serena (b2) 2018 Tullock (b8) 1980 Konrad (b6) 2009 Warr (b9) 1983; 13 Fu, Wu (b4) 2019 Hirshleifer (b5) 1983; 41 Esteban, Ray (b3) 2011; 101 Warr (10.1016/j.econlet.2020.109225_b9) 1983; 13 Tullock (10.1016/j.econlet.2020.109225_b8) 1980 Hirshleifer (10.1016/j.econlet.2020.109225_b5) 1983; 41 Morgan (10.1016/j.econlet.2020.109225_b7) 2000; 67 Fu (10.1016/j.econlet.2020.109225_b4) 2019 Corchón (10.1016/j.econlet.2020.109225_b2) 2018 Konrad (10.1016/j.econlet.2020.109225_b6) 2009 Esteban (10.1016/j.econlet.2020.109225_b3) 2011; 101 Bergstrom (10.1016/j.econlet.2020.109225_b1) 1986; 29 |
References_xml | – start-page: 125 year: 2018 end-page: 146 ident: b2 article-title: Contest theory publication-title: Handbook of Game Theory and Industrial Organization, Vol. II contributor: fullname: Serena – year: 2019 ident: b4 article-title: Contests: Theory and topics publication-title: Oxford Research Encyclopedia of Economics and Finance contributor: fullname: Wu – start-page: 97 year: 1980 end-page: 112 ident: b8 article-title: Efficient rent seeking publication-title: Towards a Theory of the Rent-seeking Society contributor: fullname: Tullock – volume: 29 start-page: 25 year: 1986 end-page: 49 ident: b1 article-title: On the private provision of public goods publication-title: J. Publ. Econ. contributor: fullname: Varian – year: 2009 ident: b6 article-title: Strategy and dynamics in contests publication-title: OUP Catalogue contributor: fullname: Konrad – volume: 101 start-page: 1345 year: 2011 end-page: 1374 ident: b3 article-title: Linking conflict to inequality and polarization publication-title: Amer. Econ. Rev. contributor: fullname: Ray – volume: 41 start-page: 371 year: 1983 end-page: 386 ident: b5 article-title: From weakest-link to best-shot: The voluntary provision of public goods publication-title: Publ. Choice contributor: fullname: Hirshleifer – volume: 67 start-page: 761 year: 2000 end-page: 784 ident: b7 article-title: Financing public goods by means of lotteries publication-title: Rev. Econom. Stud. contributor: fullname: Morgan – volume: 13 start-page: 207 year: 1983 end-page: 211 ident: b9 article-title: The private provision of a public good is independent of the distribution of income publication-title: Econ. Lett. contributor: fullname: Warr – volume: 29 start-page: 25 issue: 1 year: 1986 ident: 10.1016/j.econlet.2020.109225_b1 article-title: On the private provision of public goods publication-title: J. Publ. Econ. doi: 10.1016/0047-2727(86)90024-1 contributor: fullname: Bergstrom – volume: 13 start-page: 207 issue: 2–3 year: 1983 ident: 10.1016/j.econlet.2020.109225_b9 article-title: The private provision of a public good is independent of the distribution of income publication-title: Econ. Lett. doi: 10.1016/0165-1765(83)90087-3 contributor: fullname: Warr – volume: 101 start-page: 1345 issue: 4 year: 2011 ident: 10.1016/j.econlet.2020.109225_b3 article-title: Linking conflict to inequality and polarization publication-title: Amer. Econ. Rev. doi: 10.1257/aer.101.4.1345 contributor: fullname: Esteban – year: 2019 ident: 10.1016/j.econlet.2020.109225_b4 article-title: Contests: Theory and topics contributor: fullname: Fu – volume: 41 start-page: 371 issue: 3 year: 1983 ident: 10.1016/j.econlet.2020.109225_b5 article-title: From weakest-link to best-shot: The voluntary provision of public goods publication-title: Publ. Choice doi: 10.1007/BF00141070 contributor: fullname: Hirshleifer – year: 2009 ident: 10.1016/j.econlet.2020.109225_b6 article-title: Strategy and dynamics in contests contributor: fullname: Konrad – start-page: 97 year: 1980 ident: 10.1016/j.econlet.2020.109225_b8 article-title: Efficient rent seeking contributor: fullname: Tullock – volume: 67 start-page: 761 issue: 4 year: 2000 ident: 10.1016/j.econlet.2020.109225_b7 article-title: Financing public goods by means of lotteries publication-title: Rev. Econom. Stud. doi: 10.1111/1467-937X.00153 contributor: fullname: Morgan – start-page: 125 year: 2018 ident: 10.1016/j.econlet.2020.109225_b2 article-title: Contest theory contributor: fullname: Corchón |
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Title | When does the private provision of a public good prevent conflict? |
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