Public Goods on Networks : Statics, Welfare & Mechanisms
(2020)Department of Automatic Control
- Abstract
- This thesis studies a network game of heterogeneous and asymmetric public goods. Players allocate their wealth between private and public goods, benefiting from the public goods provisioned by their out-neighbors on the network graph. Utilities are given by a Cobb-Douglas function to capture substitutability and decreasing marginal returns. I prove that the game is well-behaved under a condition relating a simple network characteristic – the spectral radius – to the preferences of the players. Under this assumption, the best response dynamic is guaranteed to converge, and the equilibrium strategy is unique. Equilibrium public good contributions are then linear in the wealth of others contributors. Next, the game is studied through a... (More)
- This thesis studies a network game of heterogeneous and asymmetric public goods. Players allocate their wealth between private and public goods, benefiting from the public goods provisioned by their out-neighbors on the network graph. Utilities are given by a Cobb-Douglas function to capture substitutability and decreasing marginal returns. I prove that the game is well-behaved under a condition relating a simple network characteristic – the spectral radius – to the preferences of the players. Under this assumption, the best response dynamic is guaranteed to converge, and the equilibrium strategy is unique. Equilibrium public good contributions are then linear in the wealth of others contributors. Next, the game is studied through a normative lens. I show that equilibrium outcomes, as a rule, are inefficient with regards to important welfare metrics. Three mechanisms on the game are formalized, drawing on the economic literature of public goods: taxes & subsidies, enforceable contracts, and redistribution. For each mechanism, the scope of attainable welfare
improvements is characterized and design considerations discussed. (Less)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/student-papers/record/9029259
- author
- Arbman Hansing, Anton
- supervisor
-
- Giacomo Como LU
- Anders Rantzer LU
- organization
- year
- 2020
- type
- H3 - Professional qualifications (4 Years - )
- subject
- report number
- TFRT-6099
- other publication id
- 0280-5316
- language
- English
- id
- 9029259
- date added to LUP
- 2020-09-15 14:05:25
- date last changed
- 2020-09-15 14:05:25
@misc{9029259,
abstract = {{This thesis studies a network game of heterogeneous and asymmetric public goods. Players allocate their wealth between private and public goods, benefiting from the public goods provisioned by their out-neighbors on the network graph. Utilities are given by a Cobb-Douglas function to capture substitutability and decreasing marginal returns. I prove that the game is well-behaved under a condition relating a simple network characteristic – the spectral radius – to the preferences of the players. Under this assumption, the best response dynamic is guaranteed to converge, and the equilibrium strategy is unique. Equilibrium public good contributions are then linear in the wealth of others contributors. Next, the game is studied through a normative lens. I show that equilibrium outcomes, as a rule, are inefficient with regards to important welfare metrics. Three mechanisms on the game are formalized, drawing on the economic literature of public goods: taxes & subsidies, enforceable contracts, and redistribution. For each mechanism, the scope of attainable welfare
improvements is characterized and design considerations discussed.}},
author = {{Arbman Hansing, Anton}},
language = {{eng}},
note = {{Student Paper}},
title = {{Public Goods on Networks : Statics, Welfare & Mechanisms}},
year = {{2020}},
}