Medieval Literature and HistoryEvolutionary Game Theory and CooperationGlobalization and political ideologies

U. Brandt, G. Svendsen

2026.5.25RATIONALITY AND SOCIETY

DOI: 10.1177/10434631261453856

Abstract

King Ethelred’s repeated payments to Viking armies are often portrayed as evidence of political weakness and strategic failure. This paper reinterprets these actions within a rational choice framework, asking whether Ethelred the Unready acted optimally when paying King Svein Forkbeard to withdraw from England between 991 and 1012. Drawing on historical evidence from five documented Danegeld payments, we develop a formal model in which tribute and restraint emerge from repeated strategic interaction sustained by credible threats. The model identifies the conditions under which it is optimal for Ethelred to pay and for Forkbeard to refrain from raiding, and determines the equilibrium interval between successive encounters. Interpreting the English economy as a renewable resource, we apply the logic of Faustmann’s Rule and Olson’s stationary bandit theory to explain how coercion and cooperation can coexist in a self-enforcing equilibrium. Ethelred pays when tribute and its collection costs are lower than expected wartime losses; Forkbeard restrains himself when the discounted value of future payments exceeds the one-time gain from plunder. The analysis shows that Ethelred’s policy was not inoptimal appeasement but a calculated equilibrium strategy that temporarily stabilized Anglo-Danish relations. More broadly, the paper provides a framework for understanding how repeated interaction, discounting, and resource dynamics can sustain cooperation under coercive conditions.

Citation format

BRANDT, U.; SVENDSEN, G. Did ethelred the unready make optimal choices when paying danegeld to svein forkbeard? Viking age england and game theory. RATIONALITY AND SOCIETY, 2026.