game theory text - thomas s ferguson

... labelled P-position in one move as an N-position. Step 3: Find those positions whose only moves are to labelled N-positions; label such positions as P-positions. Step 4: If no new P-positions were ... hidden moves are not allowed. This rules out battleship and scissors-paper-rock. No draws in a finite number of moves are possible. This rules out tic-tac-toe. In these notes, we restrict attenti...

Ngày tải lên: 08/04/2014, 12:16

... labelled P-position in one move as an N-position. Step 3: Find those positions whose only moves are to labelled N-positions; label such positions as P-positions. Step 4: If no new P-positions were ... hidden moves are not allowed. This rules out battleship and scissors-paper-rock. No draws in a finite number of moves are possible. This rules out tic-tac-toe. In these notes, we restrict attenti...

Ngày tải lên: 08/04/2014, 12:16

... two adversaries armed with nuclear missiles. The situation is volatile because each side has only a few missiles. If one side launches a surprise attack, it will be possible for this attacker ... its enemy&apos ;s missiles. Therefore, the side that attacks first achieves victory, while its opponent suffers defeat. Imagine that a crisis arises between these two nations. The generals on .....

Ngày tải lên: 03/10/2012, 15:19

... symbolizing ‘‘scissors,’’ or all five fingers out symbolizing ‘‘paper.’’ In this game, scissors cut paper, so scissors win. A rock breaks scissors, so the rock wins, and paper covers rock, so paper wins. ... s) Solving for s when both expressions are equal, we get: 5s À 2ð1 À s ¼À2 s þ1ð1 À s 5s À 2 þ 2s ¼À 2s þ 1 À s 7s À 2 ¼À 3s þ 1 7s þ 3s À 2 ¼À 3s þ 3s þ 1 1 0s À 2...

Ngày tải lên: 24/10/2013, 07:20

... a strategy specify a player&apos ;s action only after histories that are not inconsistent with the actions that it specifies at earlier points in the game. This is so because the outcome O (s) ... in this chapter. Nevertheless, we stress that in our opinion the main contribution of the theory is the discovery of interesting stable social norms (strategies) that support mutually desira...

Ngày tải lên: 06/11/2013, 12:15

... him as possible. This seems reasonable since this is a zero-sum game. Whatever, Player 1 wins, Player 2 loses. As we proceed through this presentation, note that this same reasoning is also used in ... 2.1. 2-1 8 2.2.3 Nash equilibria using mixed strategies Sometimes the bi-matrix game (A, B) does not have a Nash strategy using pure strategies. As before, we can use mixed strategies fo...

Ngày tải lên: 12/12/2013, 21:16

... Gillispie, The Edge of Objectivity: An Essay in the History of Scientific Ideas (Princeton, 1960). THOMAS S. KUHN CẤU TRÚC CỦA CÁC CUỘC CÁCH MẠNG KHOA HỌC THE STRUCTURE OF SCIENTIFIC REVOLUTIONS Người ... (1958), 298. 3 James B. Conant, Overthrow of the Phlogiston Theory (Cambridge, 1950), pp. 1 3-1 6; và J. R. Parting ton, A Short History of Chemistry (2nd ed.; London, 1951), pp. 8...

Ngày tải lên: 23/12/2013, 17:06

... information set. Figure 21 shows two ways of expressing a simultaneous-move game like Matching Pennies as a tree with information sets. It doesn’t matter who moves first if the player who moves second doesn’t ... 1/3. Types According to the philosopher Hobbes, man is characterized by his strength of body, his passions, his experience, and his reason. In game theory, Alice s strength of b...

Ngày tải lên: 10/01/2014, 18:23