In this paper we study some foundational issues in the theory of asset pricing with market frictions. We model market frictions by letting the set of marketed contingent claims (the opportunity set) be a convex set, and the pricing rule at which these claims are available be convex. This is the...

In this paper we study BSDEs arising from a special class of backward stochastic partial differential equations (BSPDEs) that is intimately related to utility maximization problems with respect to arbitrary utility functions. After providing existence and uniqueness we discuss the numerical...

We derive the implications from the absence of arbitrage in dynamic securities markets with bid-ask spreads. The absence of arbitrage is equivalent to the existence of at least an equivalent probability measure that transforms some process between the bid and the ask price processes of traded...

We consider an exchange economy under incomplete financial markets with purely financial securities and finitely many agents. When portfolios are not constrained Cass [4], Duffie [7] and Florenzano–Gourdel [12] proved that arbitrage-free security prices fully characterize equilibrium security...

In this paper we prove the existence of general equilibrium with transaction costs generalizing Hahn's (Review of Economic Studies, 1973, 40, 449-461) model by introducing producers and nonconvexities (in particular we allow for increasing returns in transaction sets). We also recover any...

In this paper we consider a class of BSDEs with drivers of quadratic growth, on a stochastic basis generated by continuous local martingales. We first derive the Markov property of a forward-backward system (FBSDE) if the generating martingale is a strong Markov process. Then we establish the...

We study incentive-compatible labor contracts in the case where both individual productivity and subjective discount rate are unobservable by the rm. We rst show that unidimensional manifolds of agents group on the same contract. High , low agents may choose the same contract as low , high...

In this article, we present a reference case of mean field games. This case can be seen as a reference for two main reasons. First, the case is simple enough to allow for explicit resolution: Bellman functions are quadratic, stationary measures are normal and stability can be dealt with...

We introduce differential information in the asset market model studied by Cheng (1991), Dana and Le Van (1996) and Le Van and Truong Xuan (2001). An equilibrium existence result is proven assuming that the economy's information structure satisfies the conditional independency property. If...

This paper explores risk-sharing and equilibrium in a general equilibrium set-up wherein agents are non-additive expected utility maximizers. We show that when agents have the same convex capacity, the set of Pareto-optima is independent of it and identical to the set of optima of an economy in...