Cooperative Game Analysis based on Country Size and Market Position


  • Zongxia Tao



Cooperative Game; Regional Economic; Comparative Advantage; Economic Integration.


This paper studies the cooperative game theory, and analyzes the cooperative game with international scale and market position. From the perspective of evolutionary game theory, this paper discusses the preconditions for big and small countries to participate in regional economic cooperation and the stability conditions of economic cooperation. This paper combines cooperative game theory with regional economic integration, and the economic and political alliance among countries can be regarded as a cooperative game. In order to analyze the cooperation of member countries, the countries are divided into small countries and big countries according to their size and market position, and the replication dynamic equation is calculated, then the basic conditions of the strategy of big countries and small countries participating in regional economic alliance are obtained, and the strategy selection probability of participants under the conditions of equilibrium strategy and non-equilibrium strategy is analyzed. In addition, using evolutionary game theory and Jacobian matrix to analyze the stability of local equilibrium point, a reciprocal game model of regional economic cooperation between big and small countries is established. Through the research, it is found that the necessary condition for the formation of regional economic integration is the economic complementarity among the cooperative parties, and the sufficient condition is that the cooperative parties can coordinate the distribution of interests among themselves through effective consultation and finally reach a binding agreement on the distribution of interests, thus restricting each other's economic behavior.


Download data is not yet available.


Metrics Loading ...


Ash, Amin. An Institutionalist Perspective on Regional Economic Development[J]. International Journal of Urban & Regional Research, 1999.

Alesina A, Spolaore E, Wacziarg R. Economic integration and political disintegration[J]. The American economic review, 2000.

Rivera-Batiz L A , Romer P M . Economic Integration and Endogenous Growth[J]. The Quarterly Journal of Economics, 1991.

Brown M G S . Evolutionary Game Theory and Adaptive Dynamics of Continuous Traits[J]. Annual Review of Ecology Evolution & Systematics, 2007, 38:403-435.

Branzei R, Dimitrov D, Tijs S H. The Equal Split-off Set for Cooperative Games[J]. Other publications TiSEM, 2004.

Bondareva O N. Some applications of the methods of linear programming to the theory of cooperative games. [J]. Problemy Kibernet. No. 1963:119-139.

Chalkiadakis G, Elkind E, Wooldridge M. Computational Aspects of Cooperative Game Theory[C]// Springer Berlin Heidelberg. Springer Berlin Heidelberg, 2011.

Liu Z X, Ze-Yong X U. TPL Cooperative Game Analysis Based on the Asymmetric Information Theory [J]. Chinese Journal of Management Science, 2003.

Gillies D B. Some theorems on n-person games. 1954.

Jie W, Liang L, Feng Y. Determination of the weights for the ultimate cross efficiency using Shapley value in cooperative game[J]. Expert Systems with Applications, 2009, 36(1):872-876.

Liu H, Chen X. Study on the model of total pollution load allocation in tidal network river regions with Cooperative Game Theory[J]. Ecology and Environmental Sciences, 2011, 54(1-3):269-278.

Munasib, Abdul, Rickman, et al. Regional economic impacts of the shale gas and tight oil boom: A synthetic control analysis[J]. Regional Science & Urban Economics, 2015.

Maskery M, Krishnamurthy V, Zhao Q. Decentralized dynamic spectrum access for cognitive radios: cooperative design of a non-cooperative game[M]. IEEE Press, 2009.

Riezman R . Customs unions and the core[J]. Journal of International Economics, 1985.

Timothy, Killingback, Michael, et al. Spatial Evolutionary Game Theory: Hawks and Doves Revisited [J]. Proceedings of the Royal Society B: Biological Sciences, 1996.

S Béal, Casajus A, Huettner F, et al. Characterizations of Weighted and Equal Division Values[J]. Post-Print, 2016.

Shapley L S. On Balanced Sets and Cores. 1965.

Steinback, Scott R. Regional Economic Impact Assessments of Recreational Fisheries: An Application of the IMPLAN Modeling System to Marine Party and Charter Boat Fishing in Maine[J]. North American Journal of Fisheries Management, 1999, 19(3):724-736.

Shan E, Zhang G, Shan X. The degree value for games with communication structure[J]. International Journal of Game Theory, 2018, 47(3):857-871.

Selten R . International Journal of Game Theory[J]. Physica-Verlag GmbH.

Shepelyansky D , Loye J , K Jaffrès-Runser. Post-Brexit power of European Union from the world trade network analysis: TIB Open Publishing, 10.52825/BIS.V1I.48[P]. 2021.

Titov A . Fact Check: does Vladimir Putin really want a Brexit from the European Union?. 2016.

Wright S. Evolution and the Genetics of Populations, Volume 2. 1984.

Van D, Herings P, Van D, et al. The average tree permission value for games with a permission tree[J]. Research Memorandum, 2013.

Xu J, Lu F, Su F, et al. Spatial and temporal scale analysis on the regional economic disparities in China [J]. Geographical Research, 2005, 24(1):57-68.




How to Cite

Tao, Z. (2022). Cooperative Game Analysis based on Country Size and Market Position. Frontiers in Humanities and Social Sciences, 2(12), 59–67.