We show how to design mechanisms for these games that are weakly group strategyproof, approximately budget-balanced, and approximately efficient, using approximation algorithms for the underlying scheduling problems.
We also extend a classical impossibility result in game theory to show that no strategyproof mechanism can be both approximately efficient and approximately budget-balanced.
The only known general technique for designing truthful and approximately budget-balanced cost-sharing mechanisms with good efficiency or computational complexity properties is due to Moulin [1999. Incremental cost sharing: Characterization by coalition strategy-proofness. Soc. Choice Welfare 16 (279 320]3279 320]
Although many details are still being fine-tuned, the broad outlines of the approximately $2 billion budget and fiscal plan are already known.
The orchestra's more than 90 musicians, whose salaries account for about half the orchestra's approximately $30 million budget, are not immediately affected by the cuts.
The Ransom Center's approximately $7 million budget, of which roughly $3.74 million comes from the university, dwarfs that of other collections throughout the state.
Amid a request from Disney to cut its approximately $550 million budget still more, the division has offered buyouts that could result in the loss of seasoned editors and producers.
The majority leader, Representative Joseph Aresimowicz of Berlin, said the two-year, approximately $44 billion budget represented the key priorities of the legislature, like major investment in technology and science at UConn, continuation of public school reform and protection of state aid to cities and towns.
Instead, both sides agreed to balance the state's approximately $35 billion budget by finding an additional $1.4 billion in revenue through some fancy accounting maneuvers — by delaying payments to local school districts (which were unhappy to learn of this) and by borrowing money against expected future payments from the tobacco industry.
The film has grossed $39 million in just 10 days of release, already surpassing its approximately $30-million 30-million production
This year, an approximately $100 billion budget deficit has forced Riyadh to adopt austerity measures that include price increases on gas, electricity, water, and industrial energy; the introduction of a sales tax; and delayed government payments.
