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.

Revenue Management (RM) is the practice of managing perishable assets by control-ling their availability and/or prices with an objective to maximize the total revenue. Seat inventory allocation falls in the purview of quantity-based RM. The liberalization of the aviation sector and the subsequent entrance of the low-cost carriers saw an ever-increasing customer base for the airline industry. Given the large number of buyers, firms were free to decide the price at which they would sell tickets. The low-cost carriers started to follow a third degree price discrimination and segmentation of the market, charging a higher price to the market with a relatively inelastic demand. Although a lot of work has been done in the area of seat inventory allocation under a monopolistic market scenario, we realized that not a lot of work had been done in a competitive market scenario. This thesis considers the problem of seat inventory allocation and pricing in a duopoly where each of the competing airlines have two fare-classes. We consider the possibility that the same fare-class may be priced differently by the two competing airlines and allow for the over flow of passengers between the airlines in the same fare-class. In the first part of our work, we develop a non-linear mathematical model for setting the booking limits for one of the two competing air-lines such that the revenue earned is maximized. We consider over flow of passengers from one airline to another in the same fare-class in response to a price differential and compare the results obtained from our model with the standard Expected Marginal Seat Revenue (EMSR) model under a monopolistic scenario. The results show that our model gives higher revenues than that obtained from the EMSR model. In the second part of our work, we consider a non-cooperative game between two competing airlines with price cutting as the strategy to increase their demand. Through numerical computations, we identify the pure strategy Nash equilibrium. From the results, we conclude that Nash equilibrium is achieved only when both the airlines follow the same pricing strategy indicating that individual price cutting will not be beneficial. This also indicates that unless the competitors enter into a cooperative coalition with each other, they would not benefit from deep discount offers. In the third and final part, we prove theoretically the existence of pure strategy Nash equilibrium in a two airline, two fare-class problem with price sensitive over flow of customers in the same fare-class that was computationally analysed earlier. The strategy / strategies at which Nash equilibrium is achieved are identified. We show that Nash equilibrium is only achieved when both the airlines price identically. Hence, our thesis concludes that differential pricing does not hold any significance for the competing airlines from an operational perspective.