We present a unified duality approach to Bayesian persuasion. The optimal dual variable, interpreted as a price function on the state space, is shown to be a supergradient of the concave closure of the objective function at the prior belief. Strong duality holds when the objective function is...

Credit scoring is central to people’s financial growth and prosperity or financial decline and stagnation. People with a good credit score and accompanying credit report can buy opportunities to advance economically. The benefits they reap from their attractiveness to lenders and employers...

International trade economists made seminal contributions to general equilibrium theory, moving away from an emphasis on existence of equilibrium to algebraic formulations which enabled us to characterize key relationships between parameters and variables, such as that between tariffs and...

We criticize some conceptual weaknesses in the recent literature on coalitional TUgames and propose, based on our critics, a new definition of dual TU-games that coincides with the one in the literature on the class of super-additive games. We justify our new definition in four alternative ways:...

Conjugate duality relationships are pervasive in matching and implementation problems and provide much of the structure essential for characterizing stable matches and implementable allocations in models with quasilinear (or transferable) utility. In the absence of quasilinearity, a more...

We study the canonical adverse selection contracting model using new techniques from generalised convex analysis. The fundamental duality in convex analysis between internal and external convexity extends from the classical affine case with linear valuations to the quasilinear case if and only...

Mathematical finance explores the consistency relationships between the prices of securities imposed by elementary economic principles. Commonplace among these are replicability and the absence of arbitrage, both essentially algebraic constraints on the valuation map from a security to its...

Conjugate duality relationships are pervasive in matching and implementation problems and provide much of the structure essential for characterizing stable matches and implementable allocations in models with quasilinear (or transferable) utility. In the absence of quasilinearity, a more...

An interesting puzzle in corporate finance is the weak sensitivity of disciplinary action against CEO to poor firm performance. I show that this weak relation is in part driven by an overlooked alternative to firing, which in practice takes the form of splitting the CEO-Chairman role or demoting...

This paper studies the utility maximization problem on the terminal wealth with both random endowments and proportional transaction costs. To deal with unbounded random payoffs from some illiquid claims, we propose to work with the acceptable portfolios defined via the consistent price system...

Using results from convex analysis, we investigate a novel approach to identification and estimation of discrete choice models which we call the “Mass Transport Approach” (MTA). We show that the conditional choice probabilities and the choice specific payoffs in these models are related in...

In this paper, a pair of Wolfe type higher-order nondifferentiable symmetric dual programs over arbitrary cones has been studied and then well-suited duality relations have been established considering K-F convexity assumptions. An example which satisfies the weak duality relation has also been...

We use the theory of abstract convexity to study adverse-selection principal-agent problems and two-sided matching problems, departing from much of the literature by not requiring quasilinear utility. We formulate and characterize a basic underlying implementation duality. We show how this...

Charnes et al. (1982, 1983) introduced a multiplicative model for efficiency measurement under Data Envelopment Analysis (DEA) framework. Later, Coelli and Peyrach (2009) presented the Multiplicative Directional Distance Function which was recovered by Mehdiloozad et al. (2014) to draw the...

We use the theory of abstract convexity to study adverse-selection principal-agent problems and two-sided matching problems, departing from much of the literature by not requiring quasilinear utility. We formulate and characterize a basic underlying implementation duality. We show how this...