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Beyond indifferent players: on the existence of prisoners dilemmas in games with amicable and adversarial preferences

  • Horowitz, Andrew W.
  • Flôres Junior, Renato Galvão

Why don’t agents cooperate when they both stand to gain? This question ranks among the most fundamental in the social sciences. Explanations abound. Among the most compelling are various configurations of the prisoner’s dilemma (PD), or public goods problem. Payoffs in PD’s are specified in one of two ways: as primitive cardinal payoffs or as ordinal final utility. However, as final utility is objectively unobservable, only the primitive payoff games are ever observed. This paper explores mappings from primitive payoff to utility payoff games and demonstrates that though an observable game is a PD there are broad classes of utility functions for which there exists no associated utility PD. In particular we show that even small amounts of either altruism or enmity may disrupt the mapping from primitive payoff to utility PD. We then examine some implications of these results.

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Paper provided by FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil) in its series Economics Working Papers (Ensaios Economicos da EPGE) with number 576.

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Date of creation: 01 Dec 2004
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Handle: RePEc:fgv:epgewp:576
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  1. Veloso, Fernando A. & Ferreira, Pedro Cavalcanti & Pessoa, Samuel de Abreu, 2004. "On the tyranny of numbers: East Asian miracles in world perspective," Economics Working Papers (Ensaios Economicos da EPGE) 569, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  2. Moreira, Humberto Ataíde & Araújo, Aloísio Pessoa de & Castro Filho, Luciano I. de Castro Filho, 2004. "Pure strategy equilibria of multidimensional and non-monotonic auctions," Economics Working Papers (Ensaios Economicos da EPGE) 571, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  3. Cysne, Rubens Penha, 2004. "Solving the non-convexity problem in some shopping-time and human-capital models," Economics Working Papers (Ensaios Economicos da EPGE) 567, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  4. Cysne, Rubens Penha, 2004. "Inflation and income inequality: A link through the job-search process," Economics Working Papers (Ensaios Economicos da EPGE) 557, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  5. Neri, Marcelo Cortes & Xerez, Marcelo, 2004. "Desenho de um sistema de metas sociais," Economics Working Papers (Ensaios Economicos da EPGE) 565, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  6. Athayde, Gustavo M. de & Flôres Junior, Renato Galvão, 2004. "Do higher moments really matter in portfolio choice?," Economics Working Papers (Ensaios Economicos da EPGE) 574, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  7. Xiao, Zhijie & Lima, Luiz Renato Regis de Oliveira, 2004. "Purchasing power parity and the unit root tests: a robust analysis," Economics Working Papers (Ensaios Economicos da EPGE) 552, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  8. Perez, Leonardo Pio & Ferreira, Pedro Cavalcanti, 2004. "Efeitos macroeconômicos e custos sociais de uma transição entre regimes de previdência no Brasil," Economics Working Papers (Ensaios Economicos da EPGE) 556, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  9. Cysne, Rubens Penha, 2004. "On the statistical estimation of diffusion processes: a survey," Economics Working Papers (Ensaios Economicos da EPGE) 540, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  10. Cysne, Rubens Penha, 2004. "On the positive correlation between income inequality and unemployment," Economics Working Papers (Ensaios Economicos da EPGE) 561, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  11. Cysne, Rubens Penha & Lisbôa, Paulo César Coimbra, 2004. "Imposto Inflacionário e Transferências Inflacionárias no Mercosul e nos Estados Unidos," Economics Working Papers (Ensaios Economicos da EPGE) 572, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  12. Calfat, Germán & Flôres Junior, Renato Galvão, 2004. "The EU-Mercosul free trade agreement: Quantifying mutual gains," Economics Working Papers (Ensaios Economicos da EPGE) 575, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  13. Cysne, Rubens Penha, 2004. "On the statistical estimation of diffusion processes - a partial survey," Economics Working Papers (Ensaios Economicos da EPGE) 570, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  14. Monteiro, Paulo Klinger, 2004. "First-Price auction symmetric equlibria with a general distribution," Economics Working Papers (Ensaios Economicos da EPGE) 568, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  15. Cysne, Rubens Penha, 2004. "Income inequality: the role of impatience in a job-search process," Economics Working Papers (Ensaios Economicos da EPGE) 559, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  16. Cysne, Rubens Penha, 2004. "A search-theoretic explanation for the negative correlation between labor income and impatience," Economics Working Papers (Ensaios Economicos da EPGE) 558, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  17. Martimort, David & Moreira, Humberto Ataíde, 2004. "Common agency with informed principals," Economics Working Papers (Ensaios Economicos da EPGE) 551, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  18. Cysne, Rubens P. & Maldonado, Wilfredo L. & Monteiro, Paulo Klinger, 2005. "Inflation and income inequality: A shopping-time approach," Journal of Development Economics, Elsevier, vol. 78(2), pages 516-528, December.
  19. Gottlieb, Daniel & Maestri, Lucas Jóver, 2004. "Banning information as a redistributive device," Economics Working Papers (Ensaios Economicos da EPGE) 555, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  20. Gottlieb, Daniel & Moreira, Humberto Ataíde & Araújo, Aloísio Pessoa de, 2004. "A model of mixed signals with applications to countersignaling an the GED," Economics Working Papers (Ensaios Economicos da EPGE) 553, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  21. Cysne, Rubens Penha, 2004. "A general-equilibrium closed-form solution to the welfare costs of inflation (Forthcoming, Revista Brasileira de Economia)," Economics Working Papers (Ensaios Economicos da EPGE) 562, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
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