Equilibrium in risk-sharing games
Abstract
The large majority of risk-sharing transactions involve few agents, each of whom can heavily influence the structure and the prices of securities. This paper proposes a game where agents' strategic sets consist of all possible sharing securities and pricing kernels that are consistent with Arrow-Debreu sharing rules. First, it is shown that agents' best response problems have unique solutions. The risk-sharing Nash equilibrium admits a finite-dimensional characterisation and it is proved to exist for arbitrary number of agents and be unique in the two-agent game. In equilibrium, agents declare beliefs on future random outcomes different than their actual probability assessments, and the risk-sharing securities are endogenously bounded, implying (among other things) loss of efficiency. In addition, an analysis regarding extremely risk tolerant agents indicates that they profit more from the Nash risk-sharing equilibrium as compared to the Arrow-Debreu one.
Keywords
Cite
@article{arxiv.1412.4208,
title = {Equilibrium in risk-sharing games},
author = {Michail Anthropelos and Constantinos Kardaras},
journal= {arXiv preprint arXiv:1412.4208},
year = {2016}
}
Comments
48 pages, 4 figures