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Published in: Social Choice and Welfare 3/2014

01-10-2014

Moral hazard and stability

Author: Norovsambuu Tumennasan

Published in: Social Choice and Welfare | Issue 3/2014

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Abstract

Economists perceive moral hazard as an undesirable problem because it undermines efficiency. Carefully designed contracts can mitigate the moral hazard problem, but this assumes that a team is already formed. This paper demonstrates that these contracts are sometimes the reason why teams do not form. Formally, we study the team formation problem in which the agents’ efforts are not verifiable and the size of teams does not exceed quota \(r\). We show that if the team members cannot make transfers, then moral hazard affects stability positively in a large class of games. For example, a stable team structure exists if teams produce public goods or if the quota is two. However, these existence results no longer hold if efforts are verifiable.

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Appendix
Available only for authorised users
Footnotes
1
We discuss the cases in which the team members make balanced transfers in the Discussion section.
 
2
For more information see Gale and Shapley (1962), Tan (1991), and Chung (2000).
 
3
Local public goods are sometimes known as club goods. For more information, see Buchanan (1965) and Sandler and Tschirhart (1980).
 
4
Implicitly, we are assuming here that someone who does not provide the contracted efforts can be taken to the court which will enforce the contract. For example, the court may impose a huge fine to the guilty party and split this fine among the players who did not deviate.
 
5
For more information see Foley (1970), Demange (1987), and Moulin (1987).
 
6
The proofs for these results can be provided upon request.
 
7
In fact, this result is valid for the \(r=4\) cases, but the proof is somewhat tedious and lengthy. Thus, we refer the interested readers to the working paper version of the paper (Tumennasan 2011).
 
8
Due to the lack of closed form solutions, some of the calculations are carried out in Matlab.
 
9
Due to the lack of closed form solutions, some of the calculations are carried out in Matlab.
 
10
The RHS expression can be thought of as player \(i\) being matched with a player whose productivity is the same as her own.
 
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Metadata
Title
Moral hazard and stability
Author
Norovsambuu Tumennasan
Publication date
01-10-2014
Publisher
Springer Berlin Heidelberg
Published in
Social Choice and Welfare / Issue 3/2014
Print ISSN: 0176-1714
Electronic ISSN: 1432-217X
DOI
https://doi.org/10.1007/s00355-014-0802-2

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