In　the　past　few　years,　satellites　have　been　widely　influenced　in　our　daily　life,　from　Global　Positioning　System(GPS)　to　Military　investigation.　Due　to　the　limitation　of　computation　power　and　insufficient　energy,　the　satellite　has　to　offload　their　data　to　the　ground　station　for　further　processing.　However,　long-range　transmission　has　a　great　impact　on　many　real-time　services,　such　as　hotspot　tracing.　As　a　remedy,　in　this　paper,　we　introduce　space　stations　to　offload　computation　tasks　of　Low　Earth　Orbit(LEO)　satellites　to　reduce　the　transmission　delay.　We　formulate　the　problem　of　computing　resource　allocation　between　LEO　satellites　and　space　stations　based　on　double　auction　mechanisms.　Then,　we　describe　an　algorithm　for　searching　Nash　equilibrium　based　on　Experience-Weighted　Attraction(EWA)　which　is　executed　after　each　participant.　Auction　participants　can　obtain　information　from　other　adversaries　and　accumulate　experience　and　reflection.　So　they　can　complete　transactions　with　other　participants　in　a　fuzzy　environment　and　maximize　the　overall　benefit.　Simulation　results　show　the　convergence　and　effectiveness　of　the　algorithm.　©　2020　IEEE.