Catan: The Board Game

The goal of Catan is to expand one's territory, building a network of settlements and roads that are connected to key resources and gaining points along the way. The traditional game board consists of interchangeable hexagonal resource tiles, including ore, brick, lumber, wool, and grain. Resource tiles are assigned random numbers that correspond to the values rolled on the dice, which is how players gain resources. Resources with more commonly rolled values, such as 6 and 8, are highly valued and often settled first, whereas resource tiles with values less likely to be rolled, such as 2 and 12, are often last to be settled, if at all. The number 7 is not assigned to any resource tiles, and if a 7 is rolled, any player with more than eight cards must discard half their resources. Settlements and cities are constructed at the intersections of three resource tiles, providing the player access to those resource cards. The four construction options—building a road, settlement, city, or purchasing a Development Card—vary in their building costs, making it important for each player to have access to a variety of resources (Figure 1). New settlements must be connected to established settlements or cities via roads along the seams between the resource tiles, which are built using resource cards. For game play, players take turns rolling dice, and all players collect the corresponding resources. When it is their turn, players may spend their resources or initiate a trade with another player. Ultimately, players gain resource cards through game play, trade for resource cards they need or do not have access to, and expand their territories with settlements, cities, and roads until they earn 10 points (see Table 1).

FIGURE 1. Initial setup of the Catan board game (photo by Amy E. Thompson).

TABLE 1. Action Items and Points in Catan.

Catan Universe: The Digital Game

Catan Universe has the same basic setup as the tabletop version. Resource tiles (ore, brick, lumber, wool, and grain) are randomly numbered; when a player rolls the dice, anyone with a settlement or city on the corresponding numbered tiles receives those resource cards. As seen in Figure 2, if a 5 is next rolled, Lin (purple) would receive 1 brick card and 1 wheat card, and athomp04 (green) would receive 1 wheat card; Nassir (red) and Jean (yellow) would not receive any resource cards in that turn. Throughout the game, players build settlements and roads, upgrade to cities, trade with others, and buy Development Cards until victory is achieved.

FIGURE 2. Game setup of the online Catan Universe. Resources are represented by different tiles; for example, the dark-green forest tile represents lumber. If the number on the tile with a settlement is rolled, the player receives the corresponding resource card (Catan Universe Reference Catan2023).

The game play is simple and takes about 30 minutes, yet each game is different. The resource tiles and values are generated for each game, and players can choose from several different AI characters (Cobb Reference Cobb2023). The AI characters can be set to one of three levels of experience: rookie (beginner), veteran (intermediate), and master (advanced). To some degree, the AI characters’ level of experience plays out in the game: advanced AI characters seem to make better decisions and gain points more easily, and beginner AI characters make rookie mistakes, such as holding more than eight cards for several rounds at a time, ultimately discarding half of them when a 7 is inevitably rolled.

Although concepts of settlement expansion evoke early urbanism with the rise of large and populated cities and expansive trade routes (Marcus and Sabloff Reference Marcus and Sabloff2008; Veracini Reference Veracini2013), other aspects of anthropological archaeology are present in Catan as well. Through the lens of HBE (Smith and Winterhalder Reference Smith and Winterhalder2006) and concepts such as IDF and IDD, differential access to resources, niche constructions, and inequality become apparent. Furthermore, we can apply concepts from archaeogaming (Reinhard Reference Reinhard2018) to test the theoretical models of HBE with inequality in Catan Universe.

Inequality and Resource Patchiness: Ideal Free Distribution and Ideal Despotic Distribution

In Catan, resources are distributed across the landscape and are accessible only through rolling the corresponding number on the tiles. As players begin game play, they select where to place their settlements based on resource accessibility, adhering to the IFD (Kennett Reference Kennett2005; Sutherland Reference Sutherland1996). The IFD model predicts that the best patches of land will be occupied first before settlers select secondary patches of land of lesser value. Then, when the secondary patches of land are filled in, new settlers will occupy the tertiary patches, and so on. In Catan, highly valued “patches” or tiles with more frequently rolled numbers such as 6 and 8 are more likely to be settled before “patches” or tiles with a lower probability of being rolled such as 2 and 12. When selecting where to place settlements, the player evaluates the totality of tiles at each intersection, considering the likelihood that the combination of numbers will be rolled. Just as in the real world, there are a finite number of locations on the board that are highly coveted, which are settled first. Eventually, these spots are taken, and players must select less preferable patches of land. Other factors may also come into play, such as access to a variety of resources (wool, ore, and lumber) versus only to a single resource (all lumber) and the proximity and arrangement of settlements, following the IFD. Because the game is only a simplified simulation of life, decisions are not affected by other common human variables like politics, ideology, or even topography.

Another anthropological lens is offered through the dimensions of the IDD (Bell and Winterhalder Reference Bell and Winterhalder2014) and related inequality, which are also present in Catan. IDD is characterized by some individuals occupying higher-quality patches of land and accumulating more resources through time. Likewise, IDD results in patches of land disproportionately being controlled by despots. In Catan, when settlements grow into cities, they gain double the resource cards when the corresponding number on a tile is rolled. In this way, having access to resources to build a city leads to the increased accumulation of resources, similar to how the “rich get richer” through the intergenerational transmission of wealth. Often, the settlements that advance to cities are those located on the best patches of land, adhering to IDD. Even more so, IDD is present in Catan via the network of roads constructed by each player, because others cannot cross the roads of another player when settling new tiles. The network of roads created by one player may restrict access to high-quality patches of land unoccupied by other players.

Roads, Trade Networks, and Fiscal Financing

A second aspect of the game that connects to archaeology is the prominence of trade and fiscal financing as players build their settlements and interconnected roads, construct cities, and buy Development Cards to secure additional gameplay perks. In the ancient world, vast networks of roads connected distant cities across, for example, the Roman Empire (Figures 3a and 3b), Inka Empire, and Classic (AD 250–800) Maya landscapes. Long-distance trade routes such as the Silk Road and Incense Road brought opportunities to those living in harsh environments, such as at Petra (Zohar and Erickson-Gini Reference Zohar and Erickson-Gini2020). The importance of these routes was carved into the sandstone walls of the Siq (Anderson Reference Anderson2020), which displayed caravans of camels and merchants (Figure 3c). Among the Classic Maya, a combination of least cost path analysis and social network analysis (SNA) found that more interconnected settlements had higher degrees of wealth inequality based on differences in house size than settlements with lower SNA centrality scores (Thompson et al. Reference Thompson, Feinman, Lemly and Prufer2021). Similarly, an SNA of ceramic types in the US Southwest suggests the ability of individualist brokers to harness financial and, albeit limited, social capital (Peeples and Haas Reference Peeples and Haas2013). In the realm of Catan, I hypothesize that, in addition to having access to a variety of resources on highly valued tiles, players who traded more frequently—earning higher successful trade scores—would have higher success rates or overall scores than players who declined trade offers. In the archaeological record, fiscal financing is one of the key mechanisms that leads to inequality (Blanton et al. Reference Blanton, Feinman, Kowalewski and Fargher2020). In this case, inequality means winning the game or racking up more points than others.

FIGURE 3. Ancient Roman roads at (a) Pompeii and (b) Cuma in modern Italy; (c) an eroded carving in the Siq of Petra (in modern Jordan) that shows the feet and bodies of a merchant and a camel caravan of the Incense Road (all photos by Amy E. Thompson).

Testing the Models

To test the impact of trade networks and fiscal financing in the world of Catan, I played the basic version of Catan: The First Island 40 times. To simulate a variety of environments and places around the globe, I selected the option of having random maps generated, meaning that the location of resource tiles and the values associated with each resource tile varied. However, I used the same three AI characters as opponents for every game—Lin, Jean, and Nassir, all of whom were set to “veteran” status. I also set it so that a random player would start each game, there would be no timer, and victory occurred at 10 points. When playing, I made logical moves that would benefit myself. At the end of each game, I recorded each player's statistics for five variables—successful trades, cities built, settlements built, roads built, and number of times robbed by other players—and the final scores.

Next, I ran linear regressions on the final game scores and each variable to test the relationship between each variable and the final score. This simple yet powerful statistic provides insights into the correlation between an independent and a dependent variable. I expected that the frequency of trading would correlate with the final score, meaning that frequent traders would often be the winners or top scorers.

Results

There is a slight positive correlation between the number of successful trades and final score, but contrary to my hypothesis, this relationship is weak (R² = 0.08; Figure 4). In other words, only 8% of the final score can be explained by successful trades, and this variable does not substantially influence the final score. (Removing the outlier score of 13 increases the R² value slightly to 0.09.) Perhaps unsurprisingly, the number of settlements and cities both had stronger positive relationships with the final score, with R² values of 0.39 and 0.45, respectively (Figure 5). This means that 39% of the final score can be explained by the number of settlements, and 45% of the final score can be explained by the number of cities. Of course, more cities often resulted in higher scores not only because each new city automatically adds one victory point but also because cities produce double the resources, playing into the idea that the “rich get richer” of wealth inequality.

FIGURE 4. Scatterplot and linear regression of the number of trades compared to final scores in Catan: The First Island.

FIGURE 5. Scatterplot and linear regression of (a) the number of settlements and (b) the number of cities compared to final scores in Catan: The First Island.