This chapter focuses on the geometry of how a market can solve systems of equations from market jaws to the newton method. Since market equilibrium can be interpreted as a solution to a system of equations, price discovery, as it called in the language of market makers, can be viewed as having...

Incentive problems make securities' payoffs imperfectly pledgeable, limiting agents' ability to issue liabilities. We analyze the equilibrium consequences of such endogenous incompleteness in a dynamic exchange economy. Because markets are endogenously incomplete, agents have different...

Incentive problems make assets imperfectly pledgeable. Introducing these problems in an otherwise canonical general equilibrium model yields a rich set of implications. Asset markets are endogenously segmented. There is a basis going always in the same direction, as the price of any risky asset...