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Carmona, G. & Carvalho, L. (2016). Repeated two-person zero-sum games with unequal discounting and private monitoring. Journal of Mathematical Economics. 63, 131-138
G. Carmona and L. C. Carvalho, "Repeated two-person zero-sum games with unequal discounting and private monitoring", in Journal of Mathematical Economics, vol. 63, pp. 131-138, 2016
@article{carmona2016_1714665183628, author = "Carmona, G. and Carvalho, L.", title = "Repeated two-person zero-sum games with unequal discounting and private monitoring", journal = "Journal of Mathematical Economics", year = "2016", volume = "63", number = "", doi = "10.1016/j.jmateco.2016.02.005", pages = "131-138", url = "http://www.sciencedirect.com/science/article/pii/S0304406816000136" }
TY - JOUR TI - Repeated two-person zero-sum games with unequal discounting and private monitoring T2 - Journal of Mathematical Economics VL - 63 AU - Carmona, G. AU - Carvalho, L. PY - 2016 SP - 131-138 SN - 0304-4068 DO - 10.1016/j.jmateco.2016.02.005 UR - http://www.sciencedirect.com/science/article/pii/S0304406816000136 AB - We consider discounted repeated two-person zero-sum games with private monitoring. We show that even when players have different and time-varying discount factors, each player’s payoff is equal to his stage-game minmax payoff in every sequential equilibrium. Furthermore, we show that: (a) in every history on the equilibrium path, the pair formed by each player’s conjecture about his opponent’s action must be a Nash equilibrium of the stage game, and (b) the distribution of action profiles in every period is a correlated equilibrium of the stage game. In the particular case of public strategies in public monitoring games, players must play a Nash equilibrium after any public history. ER -