BEIC （Bayesian equilibrium by iterative conjectures） analyzes games with players forming their conjectures about what other players will do through iterative reasoning starting with first order uninformative conject...BEIC （Bayesian equilibrium by iterative conjectures） analyzes games with players forming their conjectures about what other players will do through iterative reasoning starting with first order uninformative conjectures and keep updating their conjectures iteratively with game theoretic reasoning until a convergence of conjectures is achieved. In a BEIC, beliefs about the other players＇ strategies are specified and they are consistent with the equilibrium strategies they supported. A BEIC is therefore a perfect Bayesian equilibrium and hence a refinement of Nash equilibrium. Through six examples, the BE1C solutions are compared with those obtained by the other refining criteria of payoff-dominance, risk-dominance, iterated admissibility, subgame perfect equilibrium, Bayesian Nash equilibrium, perfect Bayesian equilibrium and the intuitive criterion. The outstanding results from the comparisons are that the BEIC approach is able to pick the natural focal point of a game when the iterated admissibility criterion fails to, the BEIC approach rules out equilibrium depending upon non credible threat, and that in simultaneous and sequential games of incomplete information, the BEIC approach not only normally narrows down the equilibriums to one but it also picks the most compelling equilibrium compare with Bayesian Nash equilibrium or perfect Bayesian equilibrium or intuitive criterion.展开更多
The equilibria of Al and Ca between silicon alloy and the SiO 2 Al 2O 3 CaO ternary slags were investigated using graphite crucible at 1?550?℃. With increasing Al 2O 3 and CaO content in the slags, the Al and Ca cont...The equilibria of Al and Ca between silicon alloy and the SiO 2 Al 2O 3 CaO ternary slags were investigated using graphite crucible at 1?550?℃. With increasing Al 2O 3 and CaO content in the slags, the Al and Ca content increase respectively. The variation of the impurities are also affected by the silica content in slag which provides the oxidant during the oxidation refining process. The distributions of the impurities Al and Ca in silicon were given in terms of isoconcentration curves for Al and Ca in the ternary slags of SiO 2 Al 2O 3 CaO. The present experimental work provided available data to analyze the action of Al and Ca during oxidation refining process for silicon alloy.展开更多
文摘BEIC （Bayesian equilibrium by iterative conjectures） analyzes games with players forming their conjectures about what other players will do through iterative reasoning starting with first order uninformative conjectures and keep updating their conjectures iteratively with game theoretic reasoning until a convergence of conjectures is achieved. In a BEIC, beliefs about the other players＇ strategies are specified and they are consistent with the equilibrium strategies they supported. A BEIC is therefore a perfect Bayesian equilibrium and hence a refinement of Nash equilibrium. Through six examples, the BE1C solutions are compared with those obtained by the other refining criteria of payoff-dominance, risk-dominance, iterated admissibility, subgame perfect equilibrium, Bayesian Nash equilibrium, perfect Bayesian equilibrium and the intuitive criterion. The outstanding results from the comparisons are that the BEIC approach is able to pick the natural focal point of a game when the iterated admissibility criterion fails to, the BEIC approach rules out equilibrium depending upon non credible threat, and that in simultaneous and sequential games of incomplete information, the BEIC approach not only normally narrows down the equilibriums to one but it also picks the most compelling equilibrium compare with Bayesian Nash equilibrium or perfect Bayesian equilibrium or intuitive criterion.
文摘The equilibria of Al and Ca between silicon alloy and the SiO 2 Al 2O 3 CaO ternary slags were investigated using graphite crucible at 1?550?℃. With increasing Al 2O 3 and CaO content in the slags, the Al and Ca content increase respectively. The variation of the impurities are also affected by the silica content in slag which provides the oxidant during the oxidation refining process. The distributions of the impurities Al and Ca in silicon were given in terms of isoconcentration curves for Al and Ca in the ternary slags of SiO 2 Al 2O 3 CaO. The present experimental work provided available data to analyze the action of Al and Ca during oxidation refining process for silicon alloy.
