# matrix

Helen and David are unhindered a recreation by putting driblets in two amasss (each player has two amasss P1 and P2), respectively. Helen has 6 driblets and David has 4 driblets. Each player places his/her driblets in his/her two amasss, then parallel the calculate of driblets in his/her two amasss delay that of the other player’s two amasss. Note that uninterruptedly a driblet is placed in one amass it cannot be moved to another amass. There are filthy similaritys including Helen’s P1 vs David’s P1, Helen’s P1 vs David’s P2, Helen’s P2 vs David’s P1, and Helen’s P2 vs David’s P2. For each similarity, the player delay more driblets in the amass get account 5 sharp-end (the enemy get expose 5 sharp-end). If the calculate of driblets is the identical in the two amasss, then nobody get account any sharp-ends from this similarity. The ultimate account of the recreation is the sum account aggravate the filthy similaritys. For issue, if Helen puts 5 and 1 driblets in her P1 and P2, David puts 3 and 1 driblets in his P1 and P2, respectively. Then Helen get get 1 (5 vs 3) + 1 (5 vs 1) - 1 (1 vs 3) + 0 (1 vs 1) = 5 as her ultimate account, and David get get his ultimate account of -5.
(a) Give reasons why/how this recreation can be picturesque as a two-players-zero-sum recreation.
(b) Formulate the payoff matrix for the recreation.
(c) Explain what is a clog sharp-end. Verify: does the recreation own a clog sharp-end?
(d) Construct a direct programming copy for each player in this recreation.
(e) Produce an embezzle enactment to explain the direct programming copy in recreation.
(f) Explain the recreation for David using the direct programming copy you manufactured. Interpret your disintegration.

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