Game Theory: The Nash Equilibrium Point Identification In Bi-Matrix Games Of Economic And Social Indicators

Fernanda Kreuzberg, Nelson Hein, Moacir Manoel Rodrigues Junior

Abstract


Currently companies have to think about its management system to meet not only their economic interests but also their social interests aiming at the activities’ sustainability and longevity. In this research, the goal is to identify the Nash equilibrium point in the bi-matrix game of economic and social indicators of the companies of Public Utilities sector listed on the BM & FBovespa. The research was conducted with a sample of 26 companies. To evaluate the economic performance it was used the profitability and market indicators; for evaluating the social performance, it was used the indicators derived from the VAD (Value Added Statement). In the estimation of earnings among indicators, it was used the standard parameters of the multiple linear regression. The obtained results highlighted the existence of at least one point of equilibrium for the years analyzed and, especially in the models, two points of equilibrium were proposed for 2009 and 2011 and three for 2010. It is noteworthy that, in the proposed model it was confirmed the hypothesis of the existence of at least one point of equilibrium. Thus, it was possible to meet the research objective, namely, that it is possible to meet both economic aspects and the social aspects of the companies when the indicators are taken as basic information.

Keywords


Game Theory. Nash equilibrium. Bi-Matrix Games. Economic performance. Social performance.

References


Arlow, P., & Gannon, M. J. (1982). Social responsiveness, corporate structure and economic performance. Academy of Management Review, 7(2), 235-241.

Assaf Neto, A. (2009). Finanças corporativas e valor (4a ed.). São Paulo: Atlas.

Aswegen, N. V., Steyn, B. W., & Hamman, W. D. (2005). Trends in the distribution of added value of listed industrial companies – 1990 to 2002. South African Journal of Business Management, 36(2), 85-94.

Aupperle, K. E., Carroll, A. B., & Hatfield, J. D. (1985). An empirical examination of the relationship between corporate social responsibility and profitability. Academy of Management Journal, 28(2), 446-463.

Bao, B.-H., & Bao, D.-H. (1998). Usefulness of value added and abnormal economic earnings: an empirical examination. Journal of Business Finance & Accounting, 25(1-2), 251-264.

Baumgartner, R. J., & Ebner, D. (2010, March-April). Corporate sustainability strategies: sustainability profiles and maturity levels. Sustainable Development, 18(2), 76-89.

Bontempo, M. T. (1997). Teoria dos jogos aplicada à contabilidade. Caderno de Estudos, 9(15), 35-40.

Brandt,F., Fischer,F., Harrenstein, P., & Shoham,Y. (2009). Ranking games. Artificial Intellingence, 173(2), 221-239.

Brigham, E. F., & Ehrhardt, M. C. (2006). Administração financeira: teoria e prática. São Paulo: Pioneira Thomson Learning.

Brigham, E. F., Gapenski, L., & Ehrhardt, M. (2001). Administração financeira: teoria e prática. São Paulo: Atlas.

Brigham, E., & Houston, J. (1999). Fundamentos da moderna administração financeira. Rio de Janeiro: Campus.

Callado, A. L. C. (2010). Modelo de mensuração de sustentabilidade empresarial: uma aplicação em vinícolas localizadas na Serra Gaúcha. Tese de Doutorado em Agronegócios, Universidade Federal do Rio Grande do Sul, Porto Alegre, RS, Brasil.

Callado, A. L. C., & Feinsterseifer, J. E. (2010). Mensuração de sustentabilidade através do Grid de Sustentabilidade Empresarial (GSE): um estudo no setor vinícola. Anais da Sociedade Brasileira de Economia, Administração e Sociologia Rural - SOBER, 48, Campo Grande, MS, Brasil.

Carroll, A. B. (1991). The pyramid of corporate social responsibility: toward the moral management of organizational stakeholders. Business Horizons, 34(4), 39-48.

Clarke-Sather, A. R., Hutchins, M. J., Zhang, Q., Gershenson, J. K., & Sutherland, J. W. (2011). Development of social, environmental, and economic indicators for a small/medium enterprise. International Journal of Accounting and Informations Management, 19(3), 247-266.

Claro, P. B., Claro, D. P., & Amâncio, R. (2008). Entendendo o conceito de sustentabilidade nas organizações. Revista de Administração, 43(4), 289-300.

Cochran, P. L., & Wood, R. A. (1984). Corporate social responsibility and financial performance. Academy of Management Journal, 27(1), 42-56.

Cosenza, J. P. (2003). A eficácia informativa da demonstração do valor adicionado. Revista Contabilidade & Finanças, Edição comemorativa, 7-29.

Dyllick, T., & Hockerts, K. (2002). Beyond the business case for corporate sustainability. Business Strategy and the environment, 11(2), 130-141.

Ebner, D., & Baumgartner, R. J. (2006). The relationship between sustainable development and corporate social responsibility. Proceedings of Corporate Responsibility Research Conference, 2, Dublin, UK.

Fiani, R. (2004). Teoria dos jogos: para cursos de administração e economia. Rio de Janeiro: Elsevier.

Griffin, J. J., & Mahon, J. F. (1987). The corporate social performance and corporate financial performance debate: twenty-five years of incomparable research. Business & Society, 36(1), 5-31.

Haller, A., & Stolowy, H. (1998). Value added in financial accounting: a comparative study between Germany and France. Advances in International Accounting, 11(1), 23-51.

Hoji, M. (2012). Administração financeira e orçamentária: matemática financeira aplicada, estratégias financeiras, orçamento empresarial (10a ed.). São Paulo: Atlas.

Ioannou, I., & Serafeim, G. (2012, August). The consequences of mandatory corporate sustainability reporting. Harvard Business School Research Working Paper No. 11-100.

Krajnc, D., & Glavic, P. (2005). A model for integrated assessment of sustainable development. Resources, Conservation and Recycling, 43(2), 189-208.

Lee, K.-H., & Saen, R. F. (2012). Measuring corporate sustainability management: a data envelopment analysis approach. International Journal of Production Economics, 140(1), 219-226.

Lins, M. P. E., & Calôba, G. M. (2006). Programação linear: com aplicações em teoria dos jogos e avaliação de desempenho (data envelopment analysis). Rio de Janeiro: Interciência.

Lo, Shih-Fang. (2010, November-December). Performance evaluation for sustainable businnes a profitability and marketability framework. Corporate social responsibility and environmental management, 17(6), 311-319.

Maroco, J. (2003). Análise estatística: com utilização do SPSS (2a ed.). Lisboa: Sílabo.

Nandi, K. C. (2011). Performance measures: an application of value added statement. The IUP Journal of Operations Management, 10(3), 39-62.

Nash, J. (1950). Non-cooperative games. Dissertation, Doctor of Philosophy, Faculty of Princeton, New Jersey, USA.

Nash, J. (1951). Non-cooperative games. Annals of Mathematics, 54(2), 286-295.

Preston, L. E., & O’Bannon, D. P. (1997). The corporate social-financial performance relationship. Business and society, 36(4), 419-429.

Salazar, J. N. A., & Benedicto, G. C. (2004). Contabilidade financeira. São Paulo: Pioneira Thompson Learning.

Santos, A. (1999). Demonstração contábil do valor adicionado- DVA: um instrumento para medição da geração e distribuição de riqueza das empresas. Tese de Livre Docência, Faculdade de Economia e Contabilidade da Universidade de São Paulo, SP, Brasil.

Santos, A. (2007). Demonstração do valor adicionado: como elaborar e analisar a DVA. São Paulo: Atlas.

Savytzky, T. (2005). Análise de balanços: método prático (3a ed.). Curitiba: Juruá.

Schrickel, W. K. (1999). Demonstrações financeiras: abrindo a caixa-preta.São Paulo: Atlas.

Silva, A. A. (2012). Estrutura, análise e interpretação das demonstrações contábeis (3a ed.). São Paulo: Atlas.

Simonsen, M. H. (1994). Ensaios analíticos. Rio de Janeiro: Fundação Getulio Vargas.

Souza, A. A. (2003). A teoria dos jogos e as ciências sociais. Dissertação de Mestrado em Ciencias Sociais, Faculdade de Filosofia e Ciências da Universidade Estadual Paulista Júlio de Mesquita Filho, Marília, São Paulo, Brasil.

Ullmann, A. A. (1985). Data in search of a theory: a critical examination of the relationships among social performance, social disclosure, and economic performance of U.S. firms. Academy of Management Review, 10(3), 540-557.

Von Neumann, J., & Morgenstern, O. (1953). Theory of games and economic behavior (3rd ed.). Princeton: Princeton University Press.

World Comission on Environment and Development - WCED. (1987). Our common future. Oxford: Oxford University Press.




DOI: https://doi.org/10.24023/FutureJournal/2175-5825/2015.v7i2.196

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