The Effect of Foreign Influence on Conflict and Social Identity in Ethnically Diverse Societies †
Abstract
1. Introduction
2. The Related Literature on the Effects of Foreign Influence on Identity
3. A Model of Foreign Influence
- If foreign intervention provides mobilization resources, this affects conflict intensity differently depending on whether or not the foreign intervention is ethnically aligned with the aided group. In the absence of an ethnic alignment, foreign resources do not intensify conflict, so , with ethnic alignment .
- If foreign intervention improves mobilization technology, fighting intensity is given by
- If foreign intervention provides conditional aid, .
4. Foreign Influence Through the Contest Success Function
4.1. Foreign Provision of Mobilization Resources
- If both groups identify ethnically,
- If both groups identify nationally,
- If identifies ethnically and B nationally,
- If A identifies as a nation and B ethnically,
Two-Sided Provision of Conflict Resources
4.2. Foreign Influence Through Conflict Technology
4.2.1. Symmetric Technological Enhancements
4.2.2. One-Sided Technological Improvement
- 1.
- In an all-national candidate equilibrium, it tightens the no-deviation condition of group A and softens the no-deviation condition of group B.
- 2.
- In a candidate equilibrium where group A identifies ethnically and B nationally, the no-deviation condition of group A relaxes. The effect on the no-deviation condition for group B depends on the importance of status. It tightens (softens) when status concerns are relatively weak (strong).
- 3.
- When the salient weighted ethnic distance term exceeds a critical threshold, a rise in α makes the all-ethnic equilibrium more likely. If falls below this threshold, group B becomes less likely to identify ethnically in response to sufficiently large technological improvements (i.e., when α increases above a critical threshold). Moreover, when is below a lower bound, group B is less likely to identify ethnically for any increase in α.18
5. Foreign Power Provides Conditional Aid
- (i)
- Universal Benefit: Aid is distributed broadly and benefits all individuals. Aid is non-exclusive.
- (ii)
- Exclusive Benefit: Aid is allocated solely to members of group A.
5.1. Universal Aid Conditional on Group A Controlling V
5.2. Exclusive Conditional Aid
5.3. Aid Conditional on Social Identification
5.3.1. Aid Conditional on Ethnic Identification of A
5.3.2. Aid Conditional on National Identification
6. Discussion and Conclusions
Funding
Data Availability Statement
Conflicts of Interest
Appendix A. The Two-Sided Provision of Mobilization Resources
- If both groups identify ethnically,
- If both groups identify nationally,
- If A identifies ethnically and B nationally, then
- If A identifies as a nation and B ethnically,
Appendix B. Symmetric Improvement in Mobilization Technologies
- If both subgroups identify ethnically,
- If both subgroups identify nationally,
- If subgroup J identifies as a nation and subgroup identifies ethnically, then
Appendix C. One-Sided Technological Improvement
- If both groups identify ethnically, they choose the same mobilization effortleading to
- If both groups identify nationally, then whereleading to
- If group A identifies ethnically and B nationally and ,leading to
- If group B identifies ethnically and A nationally, then , whereleading to
Proof of Proposition 5
Appendix D. Proof of Proposition 6
Appendix E. Proof of Proposition 7
Appendix F. Proof of Proposition 8
Appendix G. Proof of Proposition 10
| 1 | This utility function extends Akerlof and Kranton (2000), who were the first to model identity as an ingredient in the utility function. |
| 2 | Several studies have applied this utility function to study individuals’ self-identification in different institutional contexts. Shayo (2009) himself and Lindqvist and Östling (2013) apply this utility function to analyze the demand for redistribution. Penn (2008) and Penn (2009) examine electoral institutions, Holm (2016) applies the approach to federations, and Grossman and Helpman (2021) analyze a Heckscher–Ohlin trade setting. They explain why broad national identification induces inequality aversion and protectionist tariffs and how populist shifts to narrow class identity can trigger discrete jumps in trade policy. Farmer (2025) synthesizes these insights to account for the resurgence of protectionism and social conservatism in the United States. Finally, Atkin et al. (2021) provide an empirical application in consumption, showing that identity salience responds to economic costs in food choices. |
| 3 | We also refer to a national social identity as a civic social identity. |
| 4 | |
| 5 | The pioneering work of Akerlof and Kranton (2000) on identity introduces identity as a linear component in the utility function. |
| 6 | When we study conditional aid, the intervener will alter the prize of the contest, and this new prize might be group-dependent. |
| 7 | The choice of contest success function (CSF) is central to modeling resource conflicts between two groups. Among the various specifications—such as ratio-based, difference-based, and generalized Tullock forms—the ratio CSF, which we use in the present paper, has become the canonical baseline. This form is justified on several grounds. Axiomatic derivations show that under symmetry and independence of irrelevant alternatives, the ratio CSF is essentially unique (Clark & Riis, 1998; Skaperdas, 1996). It also admits a stochastic interpretation: when each unit of effort is subject to independent exponential noise, success probabilities become proportional to resource shares (Jia, 2008). Furthermore, the ratio form offers analytical tractability, enabling smooth comparative statics and equilibrium characterization. Empirical evidence reinforces its plausibility: studies of historical and virtual battles (Hwang, 2009; Massoni et al., 2016) find that relative effort models outperform difference-based alternatives. Intuitively, the ratio CSF reflects a lottery analogy, where each unit of resource acts as a ticket, ensuring scale invariance and fairness. Moreover, the ratio form is used by Sambanis and Shayo (2013), whose work serves as our baseline model. For these reasons, we adopt the ratio form as a theoretically sound, empirically validated, and strategically robust specification. |
| 8 | Observe that individuals cannot alter their ethnicity; they only choose their self-identification as ethnic or national. |
| 9 | This is the standard Nash equilibrium condition. |
| 10 | We will clarify the exact assumption for when we analyze the different intervention forms. The required assumption for is that equilibrium |
| 11 | For the first intervention we study, we will provide all mathematical derivations in the main text and relegate the details of other interventions to the Appendices. |
| 12 | Second-order conditions are for and for . |
| 13 | The subscript of F refers to the subgroup under consideration, while the first superscript refers to the chosen identity of group A and the second to the chosen identity of group B. Group A can either identify ethnically, denoted by A, or nationally, denoted by Similarly, group B can either identify ethnically, denoted by B, or nationally, denoted by |
| 14 | The possibility of multiplicity is established in Proposition 1 in Sambanis and Shayo (2013). Multiplicity can occur in all types of foreign interventions we study in the present paper. Recall that when the size of the studied foreign interventions approaches zero, our model reduces to Sambanis and Shayo (2013)’s model. |
| 15 | We do not model the resources provided by the intervener that lead to this technological enhancement. Individuals in the target country know the efficiency of the mobilization technologies of the different groups; in other words, they know the constants and before making their decisions. |
| 16 | By Corollary A1 in Appendix B, mobilization resources are the highest under all-ethnic identification. |
| 17 | In Appendix C, we derive the conditions for an equilibrium in which group A identifies nationally and B ethnically. We show that these conditions are not likely to be simultaneously satisfied under one-sided technological improvements in conflict technology. Therefore, we do not study this candidate equilibrium any further. |
| 18 | The exact conditions for how an increase in affects the likelihood of an all-ethnic equilibrium are given in Appendix C in Lemma A4. |
| 19 | The difference in success probabilities in favor of the group helped by the foreign intervener is the lowest if both groups identify nationally, but interestingly, it is higher if one group identifies ethnically and one nationally than if both identify ethnically no matter which group identifies ethnically. Simple calculus by pairwise comparison reveals that and and , but the comparison between and depends on underlying parameters. |
| 20 | For the case of one-sided technological enhancement, see Corollary A3 and Corollary A4 in Appendix C. |
| 21 | The exact upper bound on depends on the type of conditional aid studied and will be stated in the corresponding Appendices where we derive the results. |
| 22 | Observe that in the present context, people self-identify as ethnic or national; hence the verification of ethnic or national identity is not an issue here. |
| 23 | It is important to realize that the no-deviation condition looks at a unilateral deviation. In the present context, the deviation implies that i deviates to a different identification, but everybody else maintains the prescribed identification with the relevant consequence on aid reception that is conditional on identification. |
| 24 | The derivative with respect to is given by . |
| 25 | This follows from Proposition 2 in Sambanis and Shayo (2013). |
| 26 | This follows directly from Proposition 3 in Sambanis and Shayo (2013). |
| 27 | In particular, |
| 28 | Observe that |
| 29 | Observe that |
| 30 | |
| 31 | The derivative is |
| 32 | What happens to the corresponding condition for group A cannot be established, in general, since the corresponding expression on the RHS cannot be ranked due to diminishing the expression, and even combined derivatives do not yield a clear-cut solution. |
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Hauk, E. The Effect of Foreign Influence on Conflict and Social Identity in Ethnically Diverse Societies. Games 2025, 16, 65. https://doi.org/10.3390/g16060065
Hauk E. The Effect of Foreign Influence on Conflict and Social Identity in Ethnically Diverse Societies. Games. 2025; 16(6):65. https://doi.org/10.3390/g16060065
Chicago/Turabian StyleHauk, Esther. 2025. "The Effect of Foreign Influence on Conflict and Social Identity in Ethnically Diverse Societies" Games 16, no. 6: 65. https://doi.org/10.3390/g16060065
APA StyleHauk, E. (2025). The Effect of Foreign Influence on Conflict and Social Identity in Ethnically Diverse Societies. Games, 16(6), 65. https://doi.org/10.3390/g16060065
