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A BAYESIAN GAME FOR A PROFIT AND LOSS SHARING CONTRACT
Author(s) -
Djaffar Lessy,
Marc Diener,
Francine Diener
Publication year - 2021
Publication title -
journal of islamic monetary economics and finance
Language(s) - English
Resource type - Journals
eISSN - 2460-6146
pISSN - 2460-6618
DOI - 10.21098/jimf.v7i3.1367
Subject(s) - bayesian game , profit (economics) , adverse selection , computer science , complete information , bayesian probability , information sharing , profit sharing , bayesian inference , microeconomics , game theory , sequential game , economics , artificial intelligence , finance , world wide web
This paper presents a Bayesian Game model for a profit-and-loss sharing (PLS) contract. We develop our model into two parts, namely the model for non-social bank and the model for social bank. We propose the model to reduce adverse selection problem in offering a PLS contract. The Bayesian game starts with an incomplete information. Islamic banks do not know exactly what type of agent is applying for a PLS contract, efficient or non-efficient, the information of the bank is incomplete. In Bayesian game, we assume that the Islamic Bank assigns the agent type with a prior probability. Determination of the profit-sharing ratio of the contract will be discussed. We look for the Bayesian Nash equilibrium of the game in our model which is considered a solution. We show that the bank offers an interesting but risky contract to the agent if the bank assigns that the agent is efficient with a high probability, otherwise the bank offers a less risky contract to the agent if the bank assigns that the agent is a non-efficient agent with high probability. The results can be considered by Islamic banks to reduce the adverse selection problem in PLS contract.

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