Game Theory and Mutual Misunderstanding: Scientific by Professor Mamoru Kaneko (auth.)

By Professor Mamoru Kaneko (auth.)

This e-book comprises 5 acts and interludes, that are all written as dialogues among 3 major characters and different assisting characters. each one act discusses the epistemological, institutional and methodological foundations of online game idea and economics, whereas utilizing numerous tales and examples. A featured point of these discussions is that many different types of mutual false impression are desirous about social occasions in addition to in these fields themselves. One jap conventional shaggy dog story known as the Konnyaku Mondo is consultant and provides tricks of ways our inspiration is restricted through unsuitable ideals. every one discussion severely examines extant theories and customary false impression in video game idea and economics for you to locate attainable destiny advancements of these fields.

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Extra info for Game Theory and Mutual Misunderstanding: Scientific Dialogues in Five Acts, 1st Edition

Example text

Well, I'll try my best. To explain generally what generality is, I will take the position of the present-day mathematical logic. It is based on the comparison of two axiomatic systems and of theorems in these systems. To talk about axiomatic systems rigorously from this viewpoint, we have to formulate language, inference rules and logical axioms. We would need one semester to discuss them properly, but here I will cheat a little. ,B^). This means that any statement in 5 's language can be expressed in A 's language and furthermore, that any statement provable in B is also provable in A .

Act 1 The reversal of particularity and generality in economics 19 Morimori Mathematically speaking, its introduction makes the set of payoffs finite. I think, Mr. Majime, that your lectures on expected utility theory start from the case where the set of alternatives is finite. Then, in order to handle the St Petersburg game you extend it to the case where the set of alternatives is infinite^ This infinite extension becomes unnecessary, according to the previous conclusion. Mm... I still feel that the finite restriction of the set of payoffs sounds more like particularization than generalization.

Fig. 5 describes this twicerepeated game as an extensive form. The payoffs for the entire game are the sum of the payoffs of each round. For example, if ^ii and 5*22 are played in the first round and then s^2 ^^^ 5*22 are played in the second, the players receive payoffs (1,6) and (3,3) in these two rounds. Thus, the sum is (4,9) . In this twice-repeated game both players have five information sets. Well, Morimori, what is the total number of strategies for both players in this game? Morimori In your class, I learned that a strategy in an extensive game is a complete list of contingent actions.

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