Game Perspectives of DEA Models and Their Duals

Table 2

Player 1		Player 2
Min(𝑢,𝑣)∈𝑃max𝜆∈𝑄(∑^𝑛𝑗=1𝜆𝑗𝑌𝑗)^𝑇𝑣(∑^𝑛𝑗=1𝜆𝑗𝑋𝑗)^𝑇𝑢	(#)	Max𝜆∈𝑄min(𝑢,𝑣)∈𝑃(∑^𝑛𝑗=1𝜆𝑗𝑌𝑗)^𝑇𝑣(∑^𝑛𝑗=1𝜆𝑗𝑋𝑗)^𝑇𝑢	(##)

Where 𝑃={(𝑢,𝑣)∶𝑢≥0,𝑣≥0,𝑣^𝑇𝑌₀/𝑢^𝑇𝑋₀=1} and 𝑄={𝜆∶∑^𝑛_𝑗=1𝜆_𝑗=1,𝜆_𝑗≥0} are two infinite pure strategy spaces.