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The Mathematics of Principal-agent Problems

The Mathematics of Principal-agent Problems PDF Author: Bibo Liu
Publisher:
ISBN:
Category :
Languages : en
Pages :

Book Description
The principal-agent problem is an important model in the field of Economics of Information. In this thesis we study only a particular type of principal-agent problem which is called moral hazard model and by the principal-agent problem we mean it is moral hazard model. The moral hazard model actually belongs to the class of bilevel programming problems in Mathematics. In Economics. the first order approach is used to reduce the principal-agent problem to a single level optimization problem. However, this approach is only valid under some strong conditions. Moreover the approach can only be used under the assumption that the optimal action of the principal-agent problem and its relaxed problem appears only at an interior point. In this thesis, we consider a new relaxed problem. Under more general assumptions. we can solve the principal-agent problem without restricting the optimal action of the agent to be in the interior.

The Mathematics of Principal-agent Problems

The Mathematics of Principal-agent Problems PDF Author: Bibo Liu
Publisher:
ISBN:
Category :
Languages : en
Pages :

Book Description
The principal-agent problem is an important model in the field of Economics of Information. In this thesis we study only a particular type of principal-agent problem which is called moral hazard model and by the principal-agent problem we mean it is moral hazard model. The moral hazard model actually belongs to the class of bilevel programming problems in Mathematics. In Economics. the first order approach is used to reduce the principal-agent problem to a single level optimization problem. However, this approach is only valid under some strong conditions. Moreover the approach can only be used under the assumption that the optimal action of the principal-agent problem and its relaxed problem appears only at an interior point. In this thesis, we consider a new relaxed problem. Under more general assumptions. we can solve the principal-agent problem without restricting the optimal action of the agent to be in the interior.

The Mathematics of Principal-agent Problems

The Mathematics of Principal-agent Problems PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :

Book Description
The principal-agent problem is an important model in the field of Economics of Information. In this thesis we study only a particular type of principal-agent problem which is called moral hazard model and by the principal-agent problem we mean it is moral hazard model. The moral hazard model actually belongs to the class of bilevel programming problems in Mathematics. In Economics. the first order approach is used to reduce the principal-agent problem to a single level optimization problem. However, this approach is only valid under some strong conditions. Moreover the approach can only be used under the assumption that the optimal action of the principal-agent problem and its relaxed problem appears only at an interior point. In this thesis, we consider a new relaxed problem. Under more general assumptions. we can solve the principal-agent problem without restricting the optimal action of the agent to be in the interior.

The Mathematics of Principal-Agent Problem with Adverse Selection

The Mathematics of Principal-Agent Problem with Adverse Selection PDF Author: Mojdeh Shadnam
Publisher:
ISBN: 9780494825389
Category :
Languages : en
Pages :

Book Description


The Mathematics of Principal-agent Problem with Adverse Selection

The Mathematics of Principal-agent Problem with Adverse Selection PDF Author: Mojdeh Shadnam
Publisher:
ISBN:
Category :
Languages : en
Pages :

Book Description
This thesis studies existence and characterization of optimal solutions to the principal-agent problem with adverse selection for both discrete and continuous problems. The existence results are derived by the abstract concepts of differentiability and convexity. Under the Spence Mirrlees condition, we show that the discrete problem reduces to a problem that always satisfies the linear independence constraint qualification, while the continuum of type problem becomes an optimal control problem. We then use the Ellipsoid algorithm to solve the problem in the discrete and convex case. For the problem without the Spence Mirrlees condition, we consider different classes of constraint qualifications. Then we introduce some easy-to-check conditions to verify these constraint qualifications. Finally we give economic interpretations for several numerical examples.

Contract Theory in Continuous-Time Models

Contract Theory in Continuous-Time Models PDF Author: Jakša Cvitanic
Publisher: Springer Science & Business Media
ISBN: 3642141994
Category : Mathematics
Languages : en
Pages : 258

Book Description
In recent years there has been a significant increase of interest in continuous-time Principal-Agent models, or contract theory, and their applications. Continuous-time models provide a powerful and elegant framework for solving stochastic optimization problems of finding the optimal contracts between two parties, under various assumptions on the information they have access to, and the effect they have on the underlying "profit/loss" values. This monograph surveys recent results of the theory in a systematic way, using the approach of the so-called Stochastic Maximum Principle, in models driven by Brownian Motion. Optimal contracts are characterized via a system of Forward-Backward Stochastic Differential Equations. In a number of interesting special cases these can be solved explicitly, enabling derivation of many qualitative economic conclusions.

The Economics of Contracts

The Economics of Contracts PDF Author: Bernard Salanié
Publisher: MIT Press
ISBN: 0262195259
Category : Business & Economics
Languages : en
Pages : 257

Book Description
A concise introduction to the theory of contracts, emphasizing basic tools that allow the reader to understand the main theoretical models; revised and updated throughout for this edition.

Justifying the First Order Approach to Principal Agent Problems

Justifying the First Order Approach to Principal Agent Problems PDF Author: Ian Jewitt
Publisher:
ISBN:
Category : Economics
Languages : en
Pages :

Book Description


The Oxford Handbook Public Accountability

The Oxford Handbook Public Accountability PDF Author: M. A. P. Bovens
Publisher: Oxford Handbooks
ISBN: 0199641250
Category : Business & Economics
Languages : en
Pages : 737

Book Description
Drawing on the best scholars in the field from around the world, this handbook showcases conceptual and normative as well as the empirical approaches in public accountability studies.

Strategic Decisions: The Mathematics of Game Theory

Strategic Decisions: The Mathematics of Game Theory PDF Author: Lexa N. Palmer
Publisher: Book Lovers HQ
ISBN:
Category : Mathematics
Languages : en
Pages : 195

Book Description
Embark on a journey to unlock the secrets behind successful decision-making with "Strategic Decisions: The Mathematics of Game Theory." This comprehensive exploration leaves no stone unturned in the intricate world of game theory, offering insights into how individuals, businesses, and nations make strategic choices in various contexts. Whether you're navigating the complexities of competitive markets, political landscapes, or everyday interactions, this book equips you with the tools to understand and influence outcomes, ensuring a confident and reassured learning journey. In "Strategic Decisions," you'll not only grasp the foundational game theory concepts, including Nash equilibrium, dominant strategies, and mixed strategies, but also witness their real-world applications. The book transcends theory to explore practical applications in economics, politics, business, and beyond, empowering you with the knowledge of how game theory can be applied to real-world situations. From optimizing market strategies to understanding the dynamics of international relations, this book provides a rich understanding of the strategic behavior that shapes our world. What You Will Find in This Book: The history and evolution of game theory Key concepts like Nash equilibrium and dominant strategies Applications of game theory in economics and market strategies Insights into political strategy and international relations The role of information and signaling in decision-making Behavioral game theory and human psychology Ethical and philosophical considerations in strategic choices Case studies and practical applications across various fields Whether you're a student, professional, or curious reader, "Strategic Decisions: The Mathematics of Game Theory" offers not just insights, but a potential transformation in your approach to decision-making. Dive into the world of game theory and let it inspire and motivate you to make strategic choices that can shape your future.

Bayesian Models in Economic Theory

Bayesian Models in Economic Theory PDF Author: Marcel Boyer
Publisher: North Holland
ISBN:
Category : Business & Economics
Languages : en
Pages : 336

Book Description