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INFORMS Nashville – 2016

27

SA31

SA29

202A-MCC

Dynamic Mechanism Design

Sponsored: Manufacturing & Service Oper Mgmt, Sustainable

Operations

Sponsored Session

Chair: Peng Sun, Duke University, Durham, NC, United States,

peng.sun@duke.edu

1 - Dynamic Mechanism Design With Budget Constrained Buyers

Under Limited Commitment

Omar Besbes, Columbia University,

ob2105@columbia.edu

,

Santiago Balseiro, Gabriel Weintraub

We study the dynamic mechanism design problem of a firm repeatedly selling

items to budget-constrained buyers when the seller has limited commitment

power. We argue that this problem is generally intractable. Thus motivated we

introduce a fluid model that allows for a tractable characterization of the optimal

mechanism. We leverage our characterization to provide insights into the

dynamic structure of the optimal mechanism and show that the proposed

mechanism is a good approximation in large markets.

2 - Dynamic Short-term Contracts Under Hidden Inventory

And Backlog

Hao Zhang, University of British Columbia, Vancouver, BC,

Canada,

hzhang01@sauder.ubc.ca

Lifei Sheng, Mahesh Nagarajan

We study a supply chain consisting of a supplier and a retailer faced with random

demand over multiple periods. At the beginning of each period, the supplier

offers a one-period contract and the retailer chooses order quantity before the

demand is realized. The retailer carries leftover inventory or backlogs unmet

demand, which is unobservable by the supplier. We find that in the infinite-

horizon setting with exponentially distributed demand, for a large parameter set,

the optimal sequence of short-term contracts is a generalized base-stock policy,

where the base-stock level weakly increases with the beginning inventory.

3 - Dynamic Mechanism Design Without Money

Huseyin Gurkan, Duke University, Duke University, Durham, NC,

27707, United States,

huseyin.gurkan@duke.edu

, Santiago

Balseiro, Peng Sun

We consider a principal repeatedly allocating a single resource in each period to

one of multiple agents without relying on monetary payments over an infinite

horizon. Agents’ private valuations are independent and identically distributed.

We show that as the discount factor approaches 1, the optimal dynamic

mechanism without money achieves the first-best allocation (the welfare

maximizing allocation when valuations are public). As part of the proof, we

provide an incentive compatible dynamic mechanism that asymptotically achieves

the first-best.

4 - Optimal Contract To Induce Continued Effort

Peng Sun, Duke University, Durham, NC,

psun@duke.edu

,

Feng Tian

We consider a principal incentivizing an agent to exert effort in order to raise the

arrival rate of a Poisson process. The effort is costly to the agent, unobservable to

the principal, and affects the instantaneous arrival rate. Each arrival yields a

constant revenue to the principal. A contract involves payments and a potential

stopping time in order to motivate the agent to always exert effort. Although

payments can take general forms contingent upon past arrival times, the optimal

contract has a simple and intuitive structure, which depends on whether the

agent is less patient than the principal.

SA30

202B-MCC

Revenue Management: Algorithms and Applications

Sponsored: Manufacturing & Service Oper Mgmt

Sponsored Session

Chair: Retsef Levi, MIT, Cambridge, MA, United States,

retsef@mit.edu

1 - Assortment Optimization Under A Mallows Distribution

Over Permutations

Antoine Desir, Columbia University, 601 W 113th Street, Apt 3J,

New York, NY, 10025, United States,

ad2918@columbia.edu,

Vineet Goyal, Srikanth Jagabathula, Danny Segev

We study assortment optimization under Mallows distribution over permutations

model that is specified by a central permutation and a decay parameter. The

probability of any permutation decays exponentially in the (Kendall-Tau) distance

from the central permutation. We present an efficient procedure to compute exact

choice probabilities for any assortment even with exponential size distribution.

Our procedure crucially exploits the symmetries of the Mallows model and leads

to a compact IP formulation for assortment optimization. We also give an efficient

near-optimal approximation for the IP.

2 - Auctions In The Online Display Advertising Chain:

A Case For Transparency

Amine Allouah, Columbia University, 520 W 122nd Street Apt 24,

New York, NY, 10027, United States,

mallouah19@gsb.columbia.edu

Omar Besbes

In the online display advertising market in which auctions are run to sell

impressions in real time, advertisers most often bid for impressions through

intermediaries. We investigate the impact of the active role such intermediaries

take on the selling mechanism that sellers should use and on the performance

metrics of the different agents in the advertising chain.

3 - Fast Provably Near-optimal Algorithms For Dynamic

Assortment Optimization

Ali Aouad, Massachusetts Institute of Technology,

aaouad@mit.edu

Retsef Levi, Danny Segev

We study the dynamic assortment planning problem, where the demand is

stochastic, and retailers’ decisions need to be robust (revenue-wise) to stock-out

events, elicited by the inventory limitations. While being key to revenue

management, particularly in retailing and airlines, the computational aspects of

such problems are still wide open. We devise the first efficient algorithms with

provable performance guarantees, under several common modeling primitives,

including the widespread Multinomial Logit choice model. In practical

comparisons against incumbent heuristics, our algorithms improve the revenue

by 9% to 35%, with better computational efficiency and robustness in most cases.

SA31

202C-MCC

Derivatives in the Operations/Finance Interface Area

Sponsored: Manufacturing & Service Oper Mgmt, iFORM

Sponsored Session

Chair: Arun Chockalingam, Eindhoven University of Technology, Den

Dolech 2, Eindhoven, 5612 AZ, Netherlands,

a.chockalingam@tue.nl

1 - The Optimal Hedging Strategy In A Competitive Supply Chain

With Substitutable Commodities

Ehsan Bolandifar, Chinese University of Hong Kong,

ehsan@baf.cuhk.edu.hk

, Zhong Chen

This paper studies two risk-neutral processors procure two substitutable

commodities from spot markets to process and sell through a retailer. First, we

characterize the optimal index-based contracts for processors that indicates the

processor’s optimal contract consists of a processing margin which is independent

of its financial hedging decisions and a hedge ratio which is a function of

commodity price volatility. Next, we characterize conditions under which, the

retailer prefers to be exposed to commodity price risks. We show that processors

can benefit from market pricing, when these prices are linked to input commodity

prices and index-based contracts are a means to achieve it.

2 - Integrated Risk Management In Commodity Markets

Fehmi Tanrisever, Bilkent University,

tanrisever@bilkent.edu.tr

In this paper, we examine the integrated operating and financial hedging

decisions of a value maximizing firm, in the presence of capital market

imperfections. Our results show that the working capital and the hedging polices

of the firm interact with each other in a multi-period dynamic inventory model.

In particular, looser working capital policies lead the managers to take relatively

more speculative positions in the market to maximize firm value.

3 - Production Planning With Shortfall Hedging Under Partial

Information And Budget Constraint

Liao Wang, Columbia University,

lw2489@columbia.edu

,

David D Yao

We study production planning integrated with risk hedging by considering

shortfall (from a pre-specified target) as the risk measure. The optimal hedging

strategy is identified via a dual lower-bound problem, and takes the form of a

digital option combined with a put option; and optimizing the production

quantity, given the optimal hedging, is shown to be a convex minimization

problem. With both production and hedging optimized, we provide a complete

characterization of the efficient frontier, and an explicit quantification of the

shortfall reduction achieved by hedging.