Inductive Game Theory: A Basic Scenario

Q: What is the meaning of a memory knot?

a memory thread is a finite sequence= 〈(v1, a1), . . . , (vm, am), vm+1〉, (2.2) wherevt ∈W,at ∈Avt for all t = 1, . . . ,m and vm+1 ∈W. (2.3) Each component (vt , at) (t = 1, . . . ,m) or vm+1 in is called a memory knot.

Q: What is the only memory function for d that satisfies P2?

By the supposition in the corollary that for any 〈 ,w〉 ∈ T∗Di with i∈o(w), there is an x∈Di, it follows by Theorem 5.1(ii) that there is a direct memory function for d that satisfies P2.

Q: what is a direct memory function of player i for the direct structure d?

This is a direct memory function of player i for the direct structure d, since it associates a memory yarn from YDi to each 〈 ,w〉 ∈ T∗Di = X d i.

Q: What is the condition for a direct view to be I.D.?

When both of these conditions are satisfied, there is a direct view that is i.d., but there is still, however, some arbitrariness in the memory function, which allows for multiple direct views.

Q: What is the rationale for not assuming a player has a full record of short?

This explains also the assumption that he cannot keep the relative frequency of a short-term memory: it may remain for some short periods, but if it is not reinforced by other occurrences or the player is very conscious, they may disappear from his mind, i.e., many disappear.

Question

1. What have the authors contributed in "Inductive game theory: a basic scenario" ?

2. What is the main concern of Kaneko and Kline (2007)?

3. What is the first postulate for a cognitive bound?

4. What are the conditions that a player can use to reconstruct a game?

Accepted Answer

The aim of this paper is to present the new theory called “ inductive game theory ”.. A paper, published by one of the present authors with A. Matsui, discussed some part of inductive game theory in a specific game.. Here, the authors present a more entire picture of the theory moving from the individual raw experiences, through the inductive derivation of a view, to the implications for future behavior.

Accepted Answer

The main concern of Kaneko and Kline (2007) is the size of an inductively derived view for a player with bounded cognitive abilities.

Accepted Answer

The first postulate states that if a short-term memory does not occur frequently enough, it will disappear from the mind of a player.

Accepted Answer

Treating the memory threads as the picture on each piece and memory yarns as pieces in a jigsaw puzzle, a player tries to reconstruct an extensive game, though his memory kit may be very incomplete and does not allow him to reach a meaningful view.

Accepted Answer

Then the g-morphism from ( ,m) to (̂ , m̂) satisfiesg0∗: is a bijection from X to X̂; g1∗: for all x, y∈X and a∈Ax, x<ay if and only if (x)<̂a (y).

Accepted Answer

a memory thread is a finite sequence= 〈(v1, a1), . . . , (vm, am), vm+1〉, (2.2) wherevt ∈W,at ∈Avt for all t = 1, . . . ,m and vm+1 ∈W. (2.3) Each component (vt , at) (t = 1, . . . ,m) or vm+1 in is called a memory knot.

Accepted Answer

By the supposition in the corollary that for any 〈 ,w〉 ∈ T∗Di with i∈o(w), there is an x∈Di, it follows by Theorem 5.1(ii) that there is a direct memory function for d that satisfies P2.

Accepted Answer

This is a direct memory function of player i for the direct structure d, since it associates a memory yarn from YDi to each 〈 ,w〉 ∈ T∗Di = X d i.

Accepted Answer

When both of these conditions are satisfied, there is a direct view that is i.d., but there is still, however, some arbitrariness in the memory function, which allows for multiple direct views.

Accepted Answer

This explains also the assumption that he cannot keep the relative frequency of a short-term memory: it may remain for some short periods, but if it is not reinforced by other occurrences or the player is very conscious, they may disappear from his mind, i.e., many disappear.

Accepted Answer

For the consideration of utility maximization of a behavior pattern i, player i needs to consider the sets of compatible endnodes for various behavior patterns.

Inductive Game Theory: A Basic Scenario

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Most frequently asked questions

1. What have the authors contributed in "Inductive game theory: a basic scenario" ?

2. What is the main concern of Kaneko and Kline (2007)?

3. What is the first postulate for a cognitive bound?

4. What are the conditions that a player can use to reconstruct a game?

5. What is the g-morphism from ( m) to (,?

6. What is the meaning of a memory knot?

7. What is the only memory function for d that satisfies P2?

8. what is a direct memory function of player i for the direct structure d?

9. What is the condition for a direct view to be I.D.?

10. What is the rationale for not assuming a player has a full record of short?

11. What is the condition for the player i to have a complete view of the behavior pattern?

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References

The Structure of Scientific Revolutions

The Structure of Scientific Revolutions

The Structure of Scientific Revolutions.

Theory of Games and Economic Behavior

The Structure of Scientific Revolutions.

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