Principles of Microeconomics L22 Lecture Notes PDF
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Uploaded by Joeeeyism
Beijing Foreign Studies University
2024
Shuo Xu
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Summary
These are lecture notes on Principles of Microeconomics focusing on monopolistic competition and oligopolies, from December 5, 2024. The notes cover topics including game theory, Nash equilibrium, and dominant strategies.
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Principles of Microeconomics Monopolistic Competition and Oligopolies Shuo Xu December 5, 2024 1/16 Characteristics of Monopolistic Competition A monopolistic competitive market (e.g. soft drinks) has the following chara...
Principles of Microeconomics Monopolistic Competition and Oligopolies Shuo Xu December 5, 2024 1/16 Characteristics of Monopolistic Competition A monopolistic competitive market (e.g. soft drinks) has the following characteristics: I Many sellers and many buyers. I Differentiated product. (imperfect substitutes, e.g. coke vs. pepsi) I Low barriers to entry. 2/16 A Monopolist within Product Market 3/16 A Perfectly Competitive Firm in the General Market Figure: Firms will enter Figure: Demand shifts to the left. I Low barriers to entry ⇒ zero profit in the long run. 4/16 Maintain Product Differentiation To maintain positive economic profit in the long run, a monopolistic competitive firm must main market power: I Innovation (Hard Evidence) I Advertisement (Costly Signal) 5/16 Characteristics of Oligopoly An oligopoly market has the following characteristics: I A small number of large firms. I The firms are interdependent. I Strategic price maker. I High barriers to entry. 6/16 Firms are Interdependent An oligopolist must consider how its rival will react to its decision. I A perfectly competitive firm is a price taker. I A monopolist has no rivals. I Within its own product market, a monopolistic competitive firm has no rivals. 7/16 Overt collusion The oligopolists jointly behave as a monopolist. (Pseudo-) Example: OPEC countries. 8/16 The Payoff Matrix To describe a game, you need to specify: I Players I Actions for each player. I Payoffs. Example (A’s Payoff, B’s Payoff) Confess Not Confess Confess (-2,-2) (0,-3) Not Confess (-3,0) (-1 , -1) 9/16 Strategy Strategy: A contingent plan that maps other players’ actions to your own action. Example (A’s Payoff, B’s Payoff) Confess Not Confess Confess (-2,-2) (0,-3) Not Confess (-3,0) (-1 , -1) Strategies: I Always confess. I Match the other player’s action. 10/16 Dominance Dominant Strategy: A strategy that gives the player the highest payoff, no matter how the other players do. Example (A’s Payoff, B’s Payoff) Confess Not Confess Confess (-2,-2) (0,-3) Not Confess (-3,0) (-1 , -1) Always confess is a strictly dominant strategy: I When B plays ”Confess”, ”Confess” is strictly better: −2 > −3. I When B plays ”Not Confess”, ”Confess” is strictly better: 0 > −1. 11/16 Nash Equilibrium Nash Equilibrium: No player can do better by unilaterally changing his or her strategy. Example (A’s Payoff, B’s Payoff) Confess Not Confess Confess (-2,-2) (0,-3) Not Confess (-3,0) (-1 , -1) I (Always Confess, Always Confess) is the equilibrium strategy. I (Confess, Confess) is the equilibrium outcome. I (-2,-2) is the equilibrium payoff. 12/16 How to Find Equilibrium How to find the equilibrium outcome? I Fixing the other player’s action, find the best action. I If both players are best-responding, then it is the equilibrium outcome. Example (A’s Payoff, B’s Payoff) P=3 P=2 P=3 (0.5,0.5) (0,0.8) P=2 (0.8,0) (0.4 , 0.4) 13/16 Second-Best Solution Example (A’s Payoff, B’s Payoff) Confess Not Confess Confess (-2,-2) (0,-3) Not Confess (-3,0) (-1 , -1) I In equilibrium, the sum of the payoffs is -4. (Second-best). I If both players choose ”Not Confess” then the sum of the payoffs is -2. (First-best). 14/16 Restoring First-Best through Repeated Plays I When a game is played repeatedly, the players can also base their strategies on the history of the play. 15/16 Restoring First-Best through Repeated Plays I When a game is played repeatedly, the players can also base their strategies on the history of the play. I Players can penalize each other if anyone is deviating from the first-best solution. 15/16 Restoring First-Best through Repeated Plays I When a game is played repeatedly, the players can also base their strategies on the history of the play. I Players can penalize each other if anyone is deviating from the first-best solution. I Intertemporal Trade-off: More profit in the current period vs. More profit in the future. 15/16 Restoring First-Best through Repeated Plays I When a game is played repeatedly, the players can also base their strategies on the history of the play. I Players can penalize each other if anyone is deviating from the first-best solution. I Intertemporal Trade-off: More profit in the current period vs. More profit in the future. I If both players are sufficiently patient, then monopoly profit is sustainable. 15/16 Restoring First-Best through Repeated Plays I When a game is played repeatedly, the players can also base their strategies on the history of the play. I Players can penalize each other if anyone is deviating from the first-best solution. I Intertemporal Trade-off: More profit in the current period vs. More profit in the future. I If both players are sufficiently patient, then monopoly profit is sustainable. I Within economics, there is a whole field called game theory that deals with these matters in detail. 15/16 Wrap-Up & Announcements 1. Any questions? 2. The SEI is now open. 16/16