In terms of overall gaming performance, the Intel Pentium Dual Core E2160 1.80GHz is noticeably better than the Intel Pentium 4 HT 530 when it comes to running the latest games. This also means it will be less likely to bottleneck more powerful GPUs, allowing them to achieve more of their gaming performance potential.
The Pentium Dual Core was released less than a year after the Pentium 4 HT, and so they are likely to have similar levels of support, and similarly optimized performance when running the latest games.
The Pentium Dual Core has 1 more core than the Pentium 4 HT. However, while the Pentium Dual Core will probably perform better than the Pentium 4 HT, both CPUs are likely to struggle with the latest games, and will almost certainly bottleneck high-end graphics cards. This should not affect games that are a few years old, and even the latest games should at least be playable on very low settings, as only recently have game developers begun to harness the power of multiple cores.
More important for gaming than the number of cores and threads is the clock rate. Problematically, unless the two CPUs are from the same family, this can only serve as a general guide and nothing like an exact comparison, because the clock cycles per instruction (CPI) will vary so much.
The Pentium 4 HT and Pentium Dual Core are not from the same family of CPUs, so their clock speeds are by no means directly comparable. Bear in mind, then, that while the Pentium 4 HT has a 1.2 GHz faster frequency, this is not always an indicator that it will be superior in performance, despite frequency being crucial when trying to avoid GPU bottlenecking. In this case, however, the difference is probably a good indicator that the Pentium Dual Core is superior.
Aside from the clock rate, the next-most important CPU features for PC game performance are L2 and L3 cache size. Faster than RAM, the more cache available, the more data that can be stored for lightning-fast retrieval. L1 Cache is not usually an issue anymore for gaming, with most high-end CPUs eking out about the same L1 performance, and L2 is more important than L3 - but L3 is still important if you want to reach the highest levels of performance. Bear in mind that although it is better to have a larger cache, the larger it is, the higher the latency, so a balance has to be struck.
The Pentium 4 HT and the Pentium Dual Core have the same L2 cache size, and neither CPU appears to have an L3 cache. In this case, the Pentium Dual Core has a 112 KB bigger L1 cache, so would probably provide better performance than the Pentium 4 HT, at least in this area.
The maximum Thermal Design Power is the power in Watts that the CPU will consume in the worst case scenario. The lithography is the semiconductor manufacturing technology being used to create the CPU - the smaller this is, the more transistors that can be fit into the CPU, and the closer the connections. For both the lithography and the TDP, it is the lower the better, because a lower number means a lower amount of power is necessary to run the CPU, and consequently a lower amount of heat is produced.
The Pentium Dual Core has a 19 Watt lower Maximum TDP than the Pentium 4 HT, and was created with a 25 nm smaller manufacturing technology. What this means is the Pentium Dual Core will consume slightly less power and consequently produce less heat, enabling more prolonged computational tasks with fewer adverse effects. This will lower your yearly electricity bill slightly, as well as prevent you from having to invest in extra cooling mechanisms (unless you overclock).