Continued elevated temperatures are a major feature of global climate change and are associated with a marked increase in Arctic sea ice melting. The decrease in Arctic sea ice resulting from increased melting has resulted in access to abundant resources,has opened a convenient navigation channel through the Arctic region,and has impacted strategic and military operations. The United States,Russia,Canada,Norway and Denmark are all seeking benefits related to the reduction in Arctic sea ice. A dynamic model based on game theory was constructed to explore acts of cooperation and conflict among the Arctic circumpolar countries in the harnessing of these benefits. This model included comprehensive consideration of factors including climate change,material benefits,national relations,national prestige,and international laws and regulations. This dynamic game model was used to simulate and predict the outcomes of different patterns of cooperation in the scenario of complete loss of Arctic sea ice.