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INFORMS Nashville – 2016

196

4 - Social Learning In The Presence Of Adversaries

Lili Su, University of Illinois at Urbana-Champaign,

lilisu3@illinois.edu

We focus on the impact of the adversarial agents on the performance of

consensus-based non-Bayesian learning. We propose an update rule wherein

each agent updates its local beliefs as (up to normalization) the product of (1) the

likelihood of the cumulative private signals and (2) the weighted geometric

average of the beliefs of its incoming neighbors and itself (using Byzantine

consensus). Under mild assumptions on the underlying network structure and the

global identifiability of the network, we show that all the non-faulty agents

asymptotically agree on the true state almost surely.

MC40

207B-MCC

Target Setting in Efficiency Analysis

Invited: Data Envelopment Analysis

Invited Session

Chair: Dong Joon Lim, Portland State University, Engineering &

Technology Management - Engineering & Computer Science,

Maseeh College of (ETM), Portland, OR, 97207, United States,

dongjoon@pdx.edu

1 - Study Of Capital Requirement And Bank Operating Efficiency

Yang Li, National University of Kaohsiung, Kaohsiung, Taiwan,

yangli@nuk.edu.tw

Following the 2008 financial tsunami, the Bank of International Settlements

proposed Basel III in 2010, in which banks need to raise their capital adequacy

ratio in order to make them sound and safe. This study employs the two-stage

bootstrapped truncated regression model, proposed by Simar and Wilson (2007),

and takes into account undesirable outputs to investigate how the increases in

core, tier I, and total capital adequacy ratios influence the efficiency of Chinese

commercial banks. The data set is obtained from Bankscope for the period 2012-

2014. Empirical results are consistent with the schedule and intention set by Basel

III.

2 - Inverse DEA With Frontier Changes For New Product

Target Setting

Timothy Anderson, Portland State University, Portland, OR,

97201, United States,

tim.anderson@pdx.edu,

Dong-Joon Lim

Inverse DEA can serve as a useful planning tool by providing information such as

how much resources should be invested to achieve a desired level of efficiency.

Inverse DEA studies however are based on an assumption that the PPS will not

change within the period of interest, which in fact confines the use of inverse

DEA to a sensitivity analysis by simply addressing what alternative levels of

input/output would have been possible to result in the same efficiency score

obtained. In this study, we discuss an inverse DEA problem considering expected

changes of the production frontier in the future so that it can be an ex-ante

decision support tool for the new product target setting practices.

3 - Evaluating Banker Et Al (2007) Allocative Efficiency Method

Paul Rouse, University of Auckland,

p.rouse@auckland.ac.nz

When price information is unavailable, Banker, Chang, & Natarajan (2007)

proposed a method to estimate technical and allocative inefficiency using

aggregate cost or revenue data. This research replicates their analysis using the

same data but supplemented by simulated data. The results show that when using

individual firm prices, the Banker et al. (2007) method produces upwardly biased

inefficiency measures and appears to misclassify some allocative inefficiency as

technical inefficiency. The method does work, however, if uniform prices are

known but in that situation, the quantities can then be derived and allocative

efficiency calculated in the usual fashion.

4 - Measuring The Efficiency Of Suffolk County School Districts

Diana Hagedorn, Stony Brook University,

14 Orleans Court, Commack, NY, 11725, United States,

diana.hagedorn@stonybrook.edu

, Herbert F. Lewis,

Thomas R Sexton

In this paper, we use an input oriented DEA model to evaluate the performance

of 69 school districts in Suffolk County, New York. We then consider merging

adjacent school districts to potentially improve efficiency due to economies of

scale.

MC41

207C-MCC

Option Pricing and Estimation of Greeks

Sponsored: Financial Services

Sponsored Session

Chair: Xuewei Yang, Nanjing University, 22 Hankou Road, Gulou

District, Nanjing, 210093, China,

xwyang@nju.edu.cn

1 - Optimal Portfolio Deleveraging With Cross Asset Price Pressure

Jingnan Chen, Singapore University of Technology and Design,

jingnan_chen@sutd.edu.sg,

Yufei Yang, Jie Zhang

We study an optimal portfolio deleveraging problem, where the objective is to

meet specified debt/equity requirements at the minimal execution cost. During

the course of trading, permanent and temporary price impact is taken into

account. In particular, we include the cross-asset price pressure which measures

the impact on an asset caused by the trading of other assets. Mathematically, the

optimal deleveraging problem is formulated as a non-convex quadratic program

with quadratic and box constraints. We develop a successive convex optimization

algorithm to obtain the optimal deleveraging strategy.

2 - A New Smooth Perturbation Analysis Approach To Sensitivity

Analysis For Options With Discontinuous Payoffs

Yanchu Liu, Sun Yat-sen University,

liuych26@mail.sysu.edu.cn,

Zhijian He, Guangwu Liu

Greeks estimation is one of the most important procedures in financial risk

management. Pathwise and likelihood ratio (LR) methods are two classical ways

generating unbiased estimates to Greeks. The pathwise method usually has a

smaller variance than the LR method. But it typically requires the payoff

functions to be (Lipschitz) continuous. This paper proposes a new smooth

perturbation analysis (SPA) method that can liberate the Lipschitz continuity

requirement on the payoff functions. Our estimator is unbiased and can be easily

implemented. Extensive numerical experiments illustrate the advantage of our

method.

3 - Catastrophe Option Pricing With Auto-correlated And

Catastrophe-dependent Intensity

Guanying Wang, Tianjin University, Tianjin, 300072, China,

wangguanyingnk@163.com

A discrete-time pricing model is proposed to investigate catastrophe equity put

options with auto-correlated and catastrophe-dependent intensity. Catastrophic

events are assumed to occur according to a Poisson process and the intensity is

affected by the numbers of catastrophic events that occurred in the past.

Stochastic volatility of

the underlying asset is captured by a GARCH process. We derive a pricing formula

for catastrophe equity put options and then illustrate effects of the catastrophe

intensity on catastrophe equity put option prices.

4 - Option Pricing Under The Price Limits Mechanism:

Evidence From China

Xuewei Yang, Nanjing University,

xwyang@nju.edu.cn

Ning Cai

We study the effects of the so-called price limits mechnism (PLM) on option

pricing. Our setting considers options written on 50-ETF

(510050.SH)

traded in

Shanghai Stock Exchange of China, which is subject to the PLM. Numerical

results reveal the implications of PLM on option pricing and hedging.

MC42

207D-MCC

Revenue Management in the Social Environment

Sponsored: Revenue Management & Pricing

Sponsored Session

Chair: Ming Hu, University of Toronto, Toronto, ON, Canada,

ming.hu@rotman.utoronto.ca

1 - Optimal Pricing In Networks With Latent Agents

Ozan Candogan, Chicago Booth,

Ozan.Candogan@chicagobooth.edu

, Baris Ata, Alexandre Belloni

We analyze the question of targeted pricing/advertising in social networks, in

settings where the platform does not have full information about the underlying

network. In particular, we assume that certain agents are latent, and characterize

the optimal pricing rule of the platform. We establish that unlike the case with

full information, in the presence of latent agents even with symmetric influence

structure, using network information can significantly improve the profits of the

platform. We then explore how the platform can efficiently learn the optimal

prices when the latent component is small when compared to the observable part.

MC40