<p> In this thesis, we focus on the rationing polices for the hotel room inventory control problems. Our study begins with a brief overview of revenue management in hotel industry, emphasizing the importance of room inventory control in revenue management problems. Mathematical models for controlling the room inventory in the literature are then reviewed along with recently developed game theoretic applications in revenue management. In game theoretic context, we establish three types of models to solve the hotel room inventory control problem in three different situations: 1) two-player two-fare-class static single-period game with complete information; 2) two-player two-fare-class dynamic multiple-period game with complete information; and 3) two-player two-fare-class single-period game with incomplete information.</p> <p> In the first situation, we find the existence of unique Nash equilibrium and Stackelberg equilibrium in the non-cooperative case. We provide the exact forms for these equilibria and corresponding conditions. Next, under the dynamic game settings, we provide the sufficient conditions for the unique Nash equilibrium. In the last situation, we consider the static single-period games with incomplete information and discuss the optimal strategies for the uninformed case, secret information case, private information case and public information case. The unique Bayesian Nash equilibrium in each case is found. We then analyze the values of different types of information and study their relations in different situations. Under each game theoretic setting, we present the managerial implications of our solutions along with the numerical examples. The thesis is concluded by a discussion of how game theory can is useful in hotel industry, and its relationship to other topics in revenue management.</p> / Thesis / Doctor of Philosophy (PhD)

This thesis addresses two issues which arise in the context of airline revenue management. In the first part of the thesis, we develop an incentive mechanism to prevent revenue leakage caused by customers buying down. In the second part of the thesis, we discuss the revenue sharing problem between alliance partners and develop a mechanism by which the combined revenue can be distributed fairly among them. Situations which give rise to impossibility and possibility results are established. The practice of revenue management, employs the principle of differential pricing of a product based on various product restrictions. These product restrictions segment the market in such a manner so as to maximize the revenue. Airline industry which pioneered the practice of revenue management generally prices low for those who book early and high for those who book late for essentially the same seat. The low-fare products are targeted towards the market segment comprising of those customers who have a low valuation (reservation price) for the product (who are typically leisure customers, also called as low-fare customers).The high-fare product, on the other hand is targeted at the market segment comprising of customers who have a high valuation (reservation price) for the product (business class customers, also called as high-fare customers). However, it may happen that customers with high valuation for the product may also buy the low-fare product if it is available. This behavior of high-fare customers buying a low-fare product due to its availability is called the customer buy-down behavior. Such a customer behavior causes revenue leakage to the airline industry. Revenue management literature that primarily focuses on pricing and seat inventory control does not account for the customer buy-down behavior. In Part I of the thesis we address this issue of customer buy-down behavior. We develop an incentive mechanism in the form of a new product bundle which would attract only the high-fare customer. High fare customers such as business class customers typically have repeated travel plans, while low fare customers such as leisure travelers typically do not travel repeatedly. The proposed incentive mechanism takes advantage of this characteristic of high fare customers that distinguishes them from the low fare customers. In general, high fare product permits cancellation and does not impose any travel restrictions, and a low fare product, on the other hand does not permit cancellation and has other travel restrictions associated with them. A high fare customer with potential future travel plan might associate uncertainties with respect to travel dates and his ability to procure a low fare ticket for future travel. This uncertainty is exploited in the proposed product bundle. The new product bundle permits the customer to cancel the ticket for the future journey and relaxes the restrictions associated with the requested day and the future travel day. Such incentives would attract only the high fare customer and the low-fare customer will not be enticed by this product bundle. This is because the low fare customer is a one-off traveler. Thus, the acceptance of the product bundle by the customer reveals that he is a high-fare customer and its denial reveals that he is truly a low-fare customer. We determine the optimal price to be charged for each of the days (requested day and the future travel day) and the refund value for the future travel day. We find that multiple optimal solutions exist, and its existence indicate a win-win situation for both the customer and the seller. The customer benefits through the incentives offered and the seller benefits in the form of additional revenue that is achieved in the process of preventing revenue leakage. In Part II of the thesis, we discuss the revenue sharing problem between alliance partners of a network. Airlines form alliances and coordinate through activities such as code sharing, scheduling of flight arrival and departure times, arrival and departure gates, frequent flyer programs, airport lounges and ground facilities among several others. Code sharing is a key feature among the coordinated activities of alliance partners. Parallel code sharing refers to code sharing between carriers operating on the same route to increase frequency of services and to strengthen market position. Complementary code sharing refers to carriers using each other’s flights to provide connecting services, where they do not offer a full service on their own. The main objective of the complementary code share flights is to increase scope of the partner’s network, allowing them to supply service on markets where they did not operate before. When complementary code shared flights aim at maximizing their combined revenue, it might lead to inequitable distribution of revenue and may cause an alliance partner to lose revenue. In Part II of the thesis, we address this issue of achieving a fair division of the combined revenue generated by the alliance network. The common assumption in revenue sharing methods that are generally practiced is that airline’s valuation of seats in the alliance network is common knowledge. However, in reality it is not true. We therefore consider the valuations of the carriers of their respective products as private information and the price of the product over the entire network to be common knowledge. Under such an information environment, we formulate the problem in the bargaining framework. We discuss the implementation of two solution concepts; namely the Shapley value and the Core of a cooperative game. For the two person cooperative game, the Shapley value equally distributes the surplus among the two parties, while the core allocations of two person cooperative game consists of all possible proportions of the distribution of the surplus. In a bargaining set up, the parties communicate their valuations through sealed bids and agree upon a transfer rule. We analyze two situations. In the first situation we assume that the two parties do not associate any cost towards failure to arrive at an agreement. We determine the optimal bids for the two parties and prove that these optimal bids do not implement any desired point on the core i.e., desired proportion of the distribution of the surplus (which includes the Shapley value).This impossibility result motived the analysis of the second situation, in which we assume that the two parties associate costs towards failure to arrive at an agreement. We once again determine the optimal bids and prove that for a certain structure of the bargaining costs, any desired point on the core, including the Shapley value can be implemented by enticing the players to reveal their true valuations.