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2. Marco teórico

2.4 Componentes del diagrama de estado complementado

2.4.5 Facción de agua no-congelable X w ’

4.2.1

Industry Overview

There are several interesting features in the industry, such as the dominance of hub-and-spoke networks, the emergence of so-called low cost carriers. In addi- tion, the industry faces frequent mergers and airline carriers build alliances with each other. Economists have also been interested in government subsidies and regulations. In this section, among many issues I focus on network structures of the U.S. airline carriers.

Hub-and-spoke networks are common characteristics of the airline indus- try not only in the North American markets but also in other regions of the world. In the U.S. markets, Delta Airlines first started the system at its first hub of Hartsfield-Jackson Atlanta International Airport (ATL) in 1955. After its invention of the new paradigm, combining with the deregulation of the U.S. airline industry in 1978, the new system has been adopted by many other car- riers. Currently, major airlines in the United States typically have 3 to 8 hubs except Southwest Airlines, which intends to provide ‘point-to-point’ networks although it has hub-like airports.4 Delta has a network which is more concen-

4Indeed, Southwest Airlines has more than forty destinations from airports such as Chicago-

Midway, Las Vegas, Baltimore-Washington, Phoenix and Denver. Some authors (e.g. Aguirre- gabiria and Ho (2012)) classified these airports as its hubs.

trated on several hubs such as Detroit, Atlanta, Salt Lake City, Minneapolis, etc. On the other hand, the network of Southwest has a lot of direct links among their destinations. Virgin America, which is relatively new in the in- dustry, builds a hub-and-spoke network with only two hubs (SFO and LAX). Airlines build hub-and-spoke networks since the system is considered to give airlines benefits of lower entry costs and variable costs. On the other hand, it has drawbacks on demand side since passengers have to transfer at a hub airport in order to go to their final destinations, and it obviously increases traveling time. If there is an unexpected delay due to weather or maintenance of airplanes, the increase of traveling time could be extreme.

Although most existing studies indicate that the hub-and-spoke network gives benefits of lower sunk costs, or an irreversible part of entry costs, and the entry deterrence advantage, several U.S. airlines have shown their behav- iors which do not seem to be supportive to the literature. The most remarkable example is the huge success of Southwest Airlines with its point-to-point net- work.5 Unlike to other airlines in the industry, Southwest Airlines has been trying to connect its operating cities with direct flights instead of stopping once at a hub airport.

In most existing literature, hub-size has been used as a variable in order to identify the effects of airport presence of an airline on its and others’ profits. If an airline have a pure hub-and-spoke network, the bigger hub size would deter other airlines’ entry decision. Additionally, all city pairs, or markets do not have a substitute from its own. For example, consider an airline that uses Chicago as a hub and operates a direct flight in Boston-Chicago market. Because

5A point-to-point transportation system is a system where a plane travels directly to a desti-

the airline constructs a pure hub-and-spoke network, there is no substitute with one-stop flights of its own to the route Boston-Chicago. If passengers in Boston want to travel to other cities except Chicago with the airline, they have to stop at Chicago with no other choices. In turn, the large hub-size at Chicago brings only positive externalities through complementarity built in one-stop flights. In this case, the econometrician can precisely identify the effects of hub-size of the airline on its profits. By contrast, let us imagine a network on which an airline has more than one hubs. For example, United Airlines uses San Francisco and Washington DC as its hubs. Consider a passenger who wants to travel from Hartford, CT to San Francisco, CA. She might contemplate between buying a direct flight or one-stop flight which stops at Washington DC. There may also exist other airports such as Denver or Chicago at which she can change her flight without changing airlines. She can choose where to transfer because United has large airport presence at not only San Francisco International airport but also many different airports. Then, the large hub size (at San Francisco) has another effect that it increases the number of substitutes, and in turn, the substitutability may decrease profits from its direct flight between San Francisco and Washing- ton DC.

To summarize, if airlines employ different network architectures, then the marginal effect of airport presence, or hub-size could have different economic implications. Mostly, the marginal effects include both positive (complementar- ity, lower entry costs, entry deterrence effects, etc) and negative (more substi- tutes from its own) sides. I incorporate each airline’s network structure through the adjacency matrix, and separately estimate the negative effects of large air- port presence and its positive effects. This approach brings more precise inter- pretation of the effects of hub-size as well as the effects of different network

# of Markets Entered AA DL UA US WN Entry (direct flight only) 491 449 1074 1406 812 Entry (regardless of transfer) 2112 3039 2861 2807 1829 Table 4.1: Number of Markets Served by Airlines with Different Entry Def-

initions

architectures.

4.2.2

Entry Decision and Network Formation

In this chapter, I define entry in a market as operating a direct flight in that mar- ket. In the literature, Berry (1992) and Ciliberto and Tamer (2009) define entry as an operation of a flight between two areas (or airports) regardless of the num- ber of transfers. With their definition, an airline is classified as an incumbent in a market where the airline serves two endpoint areas. From Table 4.1, I find substantial differences in the number of entry for all airlines. The number of markets served by airlines in their definition is about two to seven times larger than when using only direct flights. For example, the previous definition counts 3039 markets for Delta, which makes Delta as an incumbent in about 86% of to- tal markets, which is not reasonable. In the literature, the recent papers, e.g. Aguirregabiria and Ho (2010, 2012), define entry same as in this chapter.

There are a few benefits to define entry in this chapter. First, when the econo- metrician wants to include network variables as a firm-specific profit shifter, the previous definition may cause an simultaneity problem. For example, hub-size and the dependent variable of an entry decision are simultaneously determined. When I define entry as operating a direct flight, I can rule out such simultaneity. Second, the econometrician can estimate the size of network externalities pre-

cisely. With the entry definition in this chapter, the effects of network variables are the exact size of spillovers from a network measure to the other part (e.g. a link, or a route) of the network. Once the inclusion of such network variables in the profit function has a ground, the econometrician can estimate the size of network externalities consistently.

Finally, I impose a restriction on each airline’s network. In order to estimate the effects of network variables such as hub-size, previous papers in the litera- ture employ a couple of different approaches. One approach is a partial equilib- rium proposed in Berry (1992). He argues that it is reasonable to consider each market separately due to computational difficulties. The other approach is that airlines consider their network in the previous period as given, and make their entry decisions for each market.

In this chapter, I suggest a new approach for this problem. I assume that each airline builds a network which satisfies a weak notion of stability. That is, no airlines want to deviate from their current networks by a single route change at a time. This notion of stability is similar to pairwise stability introduced by Jackson and Wolinsky (1996) in the sense that the strength of stability. However, I do not call it pairwise stability, since the deviation is not based on the incentive of a pair of nodes (here, areas). A network is formed by one agent, or an airline, so it is not the same as pairwise stability. I formally state the assumption of stable airline networks.

Assumption Each airline builds a stable network in the sense that no airlines

want to deviate from their current networks by a single route change at a time.

on an entry game. With the assumption, I can include network variables as a measure of firm’s competitiveness in a market. It is because each airline does not consider a deviation which involve two or more routes at the same time. This assumption is reasonable since the number of possible deviations with two routes is already very large. In addition, when an airline tries to deviate, it has to take into account how its competitors will respond. Given the large number of competitors in the market, to make optimal decision in this setting is infeasible.

An alternative approach is a revealed preference approach. The approach takes the current network configurations of firms as a NE equilibrium, and then any deviation from the current network would give smaller or equal profits to the firm which makes the deviation. I do not pursue the approach in this chapter and leave it as a future study. See Ellickson, Houghton, and Timmins (2013) for the application of this approach in the discount store industry.