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Dominance solvability in Bertrand's duopoly game:-
Consider the variant of Bertrand's duopoly game in Exercise, in which each firm is restricted to choose prices that are integral numbers of cents. Assume that the profit function (p - c)D(p) has a single local maximum. Show that the game is dominance solvable and find the set of surviving outcomes.
ExerciseBertrand's duopoly game with discrete prices:-
Consider the variant of the example of Bertrand's duopoly game in this section in which each firm is restricted to choose a price that is an integral number of cents. Assume that c is an integral number of cents and that α > c + 1. Is (c, c) a Nash equilibrium of this game? Is there any other Nash equilibrium?
In a two player, one shot simultaneous move game each player can select strategy A or B. If both players select strategy A, each receives a payoff of $500.
a) what is the probability that a randomly selected scooter passed inspection? b) what is the probability that if a randomly selected scooter did not pass inspection, it came from assembly line B?
Demand for airline tickets fluctuates throughout the year, which affects the price of an airline ticket. Suggest the type of game that may be most appropriate for a specific airline to play to address the differences in demand and elasticity and the ..
How much effort do the students exert in the Nash equilibrium of the game introduced by Amalia and what value v for the cake induces the students to exert the efficient effort level?
Draw the extensive-form version of this game and find all pure-strategy sub-game perfect Bayes Nash equilibrium.
At most three typographical errors are found on a page, and (c) more than three typographical errors are found on a page.
We expect two proportions to be about 0.20 and 0.30, and we want an 80% chance of detecting a difference between them using a two-sided 0.05 level test.
Construct a 3x3 game in which there are two Nash equilibria in pure strategies and the vector of payoffs in both is "worse" than some other vector of payoffs in the game.
Write the Budget Constraint of the ministry as a function of the annual budget m, the km of roads x1, the added tons to the port x2, and the costs p2, b and g.
Find the top cycle set, and for each alternative a in the set design a binary agenda for which a is the outcome of sophisticated voting.
Electoral Competition between candidates who care only about winning position- Consider a variant of Hotelling's model in which the candidates (like citizens) care about the winner's position, and not at all about winning per se. Find the set of N..
What is the dominant strategy and describe the Nash equilibrium or Nash equilibria, Why did they do this? Do you think that Sun Resorts cares about how many airlines will serve the island? Explain.
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