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INFORMS Nashville – 2016

478

2 - Better Bounds On Convergence Rates For First-order Methods In

Sequential Games

Christian Kroer, Carnegie Mellon University, Computer Science

Department, 5000 Forbes Avenue, Pittsburgh, PA, 15213, United

States,

ckroer@cs.cmu.edu

, Fatma Kılınç-Karzan, Kevin Waugh,

Tuomas W Sandholm

First-order methods, are known to be very effective in solving large-scale two-

player zero-sum extensive-form games. The convergence rates of these methods

depend heavily on an associated distance-generating function. By introducing a

new weighting scheme for the dilated entropy function, we develop the first

distance-generating function for the strategy spaces of sequential games that has

no dependence on the branching factor of the player. This significantly improves

the convergence rate of several first-order methods. Numerical experiments

further support the effectiveness of our new weighting scheme by demonstrating

better practical convergence rates.

3 - Formulation Of A Continuous Equilibrium Mapping And

A Simplicial Path-following Method For Approximating

Proper Equilibria

Yabin Sun, City University of Hong Kong, Nam Shan Office-705,

Hong Kong,

yabinsun-c@my.cityu.edu.hk,

Yin Chen,

Chuangyin Dang

This paper formulates a continuous equilibrium mapping for a specifically defined

perturbed game that deforms with an extra variable. As a result of this

formulation, we develop a simplicial path-following method for approximating a

proper equilibrium. The method follows a simplicial path that starts from any

given totally mixed strategy profile and leads to a proper equilibrium. Numerical

results further confirms the effectiveness of the method.

4 - Price Of Anarchy In Bayesian Congestion Games

Manxi Wu, Massachusetts Institute of Technology, 235 Albany

Street, 3112B, Cambridge, MA, 02139, United States,

manxiwu@mit.edu

, Saurabh Amin

We study a new model of congestion games to understand the effects of

asymmetric information on the equilibrium costs of individual players and the

social cost. We present a full characterization of the Bayesian Wardrop

Equilibrium (BWE) of the game by exploiting the properties of a weighted

potential function. We compare the equilibrium cost in any BWE to the socially

optimal costs under incomplete and perfect information structures. Our main

result estimates the contribution to the price of anarchy (PoA) of the game due to

two factors: selfish routing and information heterogeneity.

WD72

Bass- Omni

Supply Chain, Decision I

Contributed Session

Chair: Richard Titus, PhD Candidate at Penn State, Adjunct Lehigh

Univ, The Pennsylvania State University, 310 Leonhard Building,

University Park, PA, 16802, United States,

rjt4@lehigh.edu

1 - Can A Buyer Benefit From Bounded Rationality?

Sha Luo, North Carolina State University, 4335 Avent Ferry Road,

Apt 3, Raleigh, NC, 27606, United States,

sluo3@ncsu.edu

,

Russell Edward King, Shu-Cherng Fang

Abstract: Bounded rationality takes into account that human decision makers are

prone to biases and mistakes. General wisdom suggests that people fail to reap the

highest level of benefits when they are not perfectly rational. In this study, we

consider a supplier pricing game when the retailer is not a perfect optimizer. The

decision model of bounded rationality is derived from the classical logit model.

We apply the concept of Nash equilibrium to predict the rational outcome of the

pricing game when two suppliers submit their wholesale prices simultaneously. It

is found that bounded rationality can be advantageous to the buyer when her

bounded rationality level is moderate.

2 - Using Point-of-sale Data To Improve Shelf Replenishment

Performance

Suzanne de Treville, University of Lausanne, Anthropôle 3073,

Lausanne-Dorigny, CH1015, Switzerland,

suzanne.detreville@unil.ch

, Valérie Chavez-Demoulin,

Joerg S Hofstetter

Shelf replenishment for a retail chain is done once daily. Point-of-sale data lets us

estimate the value of a second replenishment opportunity. We begin from a

standard newsvendor approach with flexible second-replenishment capacity made

available, and show that flexible capacity will often outperform capacity allocated

at the level of single stock-keeping units. We define a “Demand at Risk” measure

similar to Value at Risk in quantitative finance that captures the highest demand

that might be reasonably encountered, and use machine-learning techniques to

identify data features of the data that may signal increases in the Demand at Risk,

warranting priority replenishment.

3 - A Structurally Enhanced Fuzzy Inference System Partner

Selection Technique In Forming Virtual Enterprise

Shahrzad Nikghadam, PhD Student, Middle East Technical

University, 425, graduate studies dorm,METU, Cankaya, Ankara,

06800, Turkey,

shahrzad.nikghadam@metu.edu.tr,

Hakki Ozgur

Unver, Ahmet Murat Ozbayoglu, Sadik Engin Kilic

In this study we considered a partner selection problem of Virtual Enterprise in

forming consortiums based on customer preferences. Previously, we have

presented a Fuzzy Inference System (FIS) based methodology for the problem.

Though, in this study, an enhanced form of the previous model is presented by

editing the fuzzy rules and their reasoning structure. New rules are established by

asking fewer questions from customer, yet the computational results show that it

still gives the reasonable decisions by having less detailed information about the

customer.

4 - Supplier Selection Models With Product Life

Cycle Considerations

Richard Titus, PhD Candidate at Penn State, Adjunct Lehigh Univ,

The Pennsylvania State University, 310 Leonhard Building,

University Park, PA, 16802, United States,

rjt4@lehigh.edu

This research examines the global supplier selection process and includes supplier

attributes, determined by an empirical case study and product life cycle

considerations. The empirical study examines the relationship of key supplier

attributes to quality and delivery performance. Goal programming methodologies,

including Preemptive, Non-preemptive, Chebycheff’s Min/Max and Fuzzy GP, are

used to solve the multi-objective supplier selection problem for the four product

life cycle phases. An illustrative example and an industrial case study are included

in the testing of the supplier selection models.

WD73

Legends A- Omni

Operations Management VIII

Contributed Session

Chair: Donald Paul Warsing, North Carolina State University, College of

Management, Campus Box 7229, Raleigh, NC, 27695-7229,

United States,

don_warsing@ncsu.edu

1 - Leveraging Suppliers To Calibrate Product Specification

Sha Liao, University of the Fraser Valley, Vancouver, BC, Canada,

sha.liao@ufv.ca,

Hao Zhang, Yimin Wang

We examine a two-period game between an Original Equipment Manufacturer

(OEM) and his supplier during new product development. The supplier may

detect specification problems during production. We first prove that it is strictly

better for the OEM to design the contract so that the supplier will voluntarily

point out specification problems. We then characterize the optimal contract for

the OEM.

2 - Private Label Encroachment And Supply Chain

Information Sharing

Xue Li, Tsinghua University, Beijing, China,

xueli@mit.edu

,

Yanchong Zheng, Jian Chen

Our paper investigates the retailer’s private label encroachment strategy and its

implications for the national brand manufacturer and the retailer in the

environment where the national brand manufacturer may have private product

intrinsic information. We consider information sharing via cheap talk in this

setting, investigate the effects of private label encroachment on credible

information sharing and show that the private label strategically introduced by

the retailer may also benefit the national brand manufacturer.

3 - Supply Chain To Product Matching And Firm Performance

Donald Paul Warsing, North Carolina State University, College of

Management, Campus Box 7229, Raleigh, NC, 27695-7229,

United States,

don_warsing@ncsu.edu

, Mohamed Desoky,

Russell Edward King, Mark Walker

We present an empirical analysis of Fisher’s (1997) conceptual model of supply

chain-to-product matching. We use longitudinal COMPUSTAT data across several

industries and develop proxies to measure Fisher’s characterizations of products

(functional vs. innovative) and supply chains (efficient vs. responsive), and we

find a strong, positive relationship between the strength of a firm’s market

performance and the strength of the match between its product and supply chain

characteristics.

WD72